Thứ Năm, 18 tháng 7, 2013

thong ke_trinh



hai cong nhan lam viec trong 8 gio de san xuat ra mot loai san pham. nguoi thu nhat lam mot san pham het 2 phut. nguoi thu hai het 6 phut. tinh thoi gian binh quan de san xuat mot san pham cua hai cong nhan trong 8 gio? ket qua nao sau day la dung?
3                          

doanh nghiep a co doanh thu qua cac nam:
1997                                              110 ti dong
1998                                              120 ti dong
1999                                              150 ti dong
tinh gia tri tuyet doi tang 1% (hoac) giam doanh thu nam 1999 so voi nam 1998. ket qua nao la dung?
1,2 ti dong

chi so tong hop ve gia bang 0,95, chi so tong hop khoi luong san pham bang 1,1. ket qua nao duoi day dung ve chi so doanh thu:
1,045

chi so doanh thu bang 120%; chi so tong hop khoi luong hang hoa bang 100%; chi so tong hop ve gia bang:
120%

chi so doanh thu  bang 104,5%; chi so tong hop ve gia bang 95%; chi so tong hop ve khoi luong bang:
110%

chi so nang suat lao dong binh quan chung bang 1,25; chi so nang suat lao dong da loai tru thay doi ket cau lao dong bang 1,25; chi so anh huong ket cau lao dong bang:
 1,0

theo thong ke tuoi trong mot lop duoc phan bo nhu sau:
           tuoi                    so sinh vien
           18                              20
           19                              26
           20                              24
tinh tuoi trung binh cua lop:
19,05

ket qua thi ket thuc hoc phan cua mot lop nhu sau:
           so sinh vien               diem
           2                                10
           4                                9
           12                              7
           20                              5
           16                              4
           8                                2
tinh diem binh quan cua lop:
5,1

qua dot kiem tra suc khoe sinh vien vao truong; trong luong cua 50 sinh vien nhu sau:
              trong luong        so sinh vien
              38                      2              
              40                      4
                   42                      8        
              46                      20        
              48                      10                 
              50                      2
              54                      4
tinh trong luong tb :
45,76

 muc luong cua mot phan xuong soi nhu sau;
                   muc luong (1000 dong)            so cong nhan
                   400 – 600                                 22
600 – 800                                44
800 – 1.000                                       18
1.000 – 1.200                                    6
tinh muc luong trung binh?
717,770

nang suat lao dong cua mot xi nghiep trong tahngs 5/1999 nhu sau:
               nsld kg/1cn                             so cn
               100 – 200                               24
               200 – 300                               32
               300 – 400                               20
               400 – 500                               40
               500 – 600                               50
tinh nang suat lao dong binh quan cua xi nghiep:
386,14

co so lieu 360 can bo cong nhan vien, giao vien cua mot truong dai hoc duoc phan to theo muc luong nhu sau:
               muc luong (1.000dong)          so nguoi
300-400                                                                                    25
400-500                                                                                    60
500-600                                                                                    75
600-700                                                                                    90
700-800                                                                                    50
800-900                                                                                    60
xac dinh gia tri mot:
627,20

co so lieu nsld cua mot phan xuong nhu sau:
               nsld kg/nguoi                  so cong nhan
100-140                                                                                    15
140-180                                                                                    25         can cu vao day vi >=50
180-220                                                                                    40fe
220-260                                                                                    30
tinh so trung vi;                                    n = 110/2 = 55
195

co tai lieu ve gia tri hang hoa ton kho cua mot xi nghiep vao cac ngay dau thang nhu sau:
               ngay,thang              1-1        1-2          1-3            1-4          1-5
gia tri hang ton kho                160       200         260           300         400
(trieu dong)                           

gia thiet rang su bien dong ve gia tri hang hoa ton kho cua cac ngay trong thang tuong doi deu dan. hay tinh gia tri hang hoa ton kho trung binh thang?
260

co tai lieu ve san luong cua mot xi nghiep y trong cac nam nhu sau:
nam        1985                        1986     1987       1988         1989
san luong       200                  240       260         280           320
(1.000tan)
               hay tinh luong tang (hoac giam) tuyet doi trung binh:
               30


co tai lieu ve san luong cua mot xi nghiep x trong cac nam nhu sau:
nam        1995                        1996     1997
san luong       100                  300       400
(1.000 tan)
          hay tinh toc do phat trien trung binh:
2,0

san luong qua 3 nam cua mot xi nghiep a nhu sau:
nam            1990           1991           1992
san luong    100             200             400
(1.000tan)
          hay tinh toc do tang (giam) trung binh:
1 lan

tinh gia tri tuyet doi cua 1% tang hoac (giam) san luong nam 1992 so voi nam 1991 theo tai lieu duoi day:
nam:                      1990          1991           1992
san luong               100            150             180
(1.000 tan)
1.500 tan

thi du 2 loai hang hoa tren thi truong nhu sau:
loai hang
ky goc
ky nghien cuu
gia
(1.000d)
luong tieu thu
(cai)
gia
(1.000d)
luong tieu thu
(cai)
a
20
100
22
120
b
30(po)
150(qo)
32(p1)
160(q1)

tinh chi so tong hop gia ca theo cong thuc lay quyen so ky goc?

1,076


co 2 loai hang hoa tieu thu tren thi truong trong 2 nam nhu sau:
loai hang
ky goc
ky nghien cuu
gia
(1.000d)
luong tieu thu
(cai)
gia
(1.000d)
luong tieu thu
(cai)
a
30
200
32
220
b
40(po)
300(qo)
42(p1)
320(q1)

tinh chi so tong hop gia ca theo cong thuc lay quyen so ky nghien cuu:
1,055              

21. thi du 2 loai hang hoa tren thi truong nhu sau:
loai hang
ky goc
ky nghien cuu
gia
(1.000d)
luong tieu thu
(cai)
gia
(1.000d)
luong tieu thu
(cai)
a
10
200
14
220
b
20(po)
300(qo)
22(p1)
340(q1)

tinh chi so tong hop so luong theo cong thuc lay quyen so ky goc:
1,125


thi du 2 loai hang hoa tren thi truong nhu sau:
loai hang
ky goc
ky nghien cuu
gia
(1.000d)
luong tieu thu
(cai)
gia
(1.000d)
luong tieu thu
(cai)
a
10
100
32
120
b
20(po)
150(qo)
34(p1)
160(q1)

tinh chi so tong hop so luong theo cong thuc lay quyen so ky nghien cuu:
1,115


co tai lieu ve gia ca va luong hang hoa tieu thu tai 2 dia phuong nhu sau:
mat hang
dia phuong a
dia phuong b
gia
(1.000d)(pa)
luong tieu thu
(cai)(qa)
gia
(1.000d)(pb)
luong tieu thu
(cai)(qb)
a
6,0
1200
7,0
1500
b
8,0
2400
9,0
2000

tinh chi so gia ca dia phuong a so voi dia phuong b:
0,86


tinh tong san pham trong nuoc gdp cua mot dia phuong theo cac so lieu duoi day:
nganh kinh te
chi phi trung gian
thu nhap lan dau cua nld
thu nhap lan dau cua doanh nghiep
khau hao tai san co dinh
nong nghiep
400
350
100
200
cong nghiep
700
680
390
400
dich vu
200ic
170v
90m
80c1
tinh tong gia tri san xuat?
3760

tinh tong san pham trong nuoc gdp cua mot dia phuong theo cac so lieu duoi day:
nganh kinh te
chi phi trung gian
thu nhap lan dau cua nld
thu nhap lan dau cua doanh nghiep
khau hao tai san co dinh
nong nghiep
40
35
10
20
cong nghiep
70
68
39
40
dich vu
20ic
17v
9m
8c1
 biet tong so thue nhap khau hang hoa, dich vu dia phuong thu duoc trong nam la 8 ti dong:
254

biet toc do phat trien tren dinh goc t = 1,4. tinh toc do tang (hoac giam) dinh goc:
0,4        


biet toc do phat trien dinh goc nam 1990 t90 = 1,60; toc do phat trien dinh goc nam 1989 t89 = 1,33.
tinh toc do phat trien lien hoan giua hai thoi ky do:
1,2              


biet toc do phat trien lien hoan cua cac thoi ky nhu sau:
          t2 = 1,2                 t3 = 1,1                 t4 = 1,25
tinh toc do phat trien dinh goc: t4
          1,65


chi so tong hop ve gia bang 0,90; chi so tong hop khoi luong san pham 1,2 thi so doanh thu bang;
1,08


chi so doanh thu bang 110%, chi so tong hop khoi luong hang hoa bang 100%, chi so tong hop ve gia bang:
110%

chi so doanh thu bang 108%, chi so tong hop ve gia bang 90%, chi so tong hop khoi luong bang:
120%

doanh thu xi nghiep x qua 3 nam:
          1990: 100ti dong
          1991: 120ti dong
          1992: 130ti dong
tinh gia tri tuyet doi cua 1% tang (hoac) giam doanh thu 1992 so voi 1991. ket qua:
1,2 ti dong

co so lieu o bang sau day:
nang suat lao dong (san pham)                   so cong nhan
50                                                                                                              10
60                                                                                                                 15
80                                                                                                                 25
nang  suat lao dong trung binh bang:
68     

mot to san  xuat gom 2 cong nhan, cung san xuat mot loai san pham trong cung mot thoi gian. cong nhan 1 san xuat mot san pham het 2 phut, cong nhan thu 2 het 3 phut. hay tinh thoi gian binh quan de san xuat mot san pham cua hai cong nhan.
2,4    


mot to san xuat gom 2 cong nhan, cung san xuat mot loai san pham trong 8 gio. nguoi thu nhat san xuat mot san pham het 2 phut, nguoi thu hai het 3 phut. tinh thoi gian trung binh de san xuat mot san pham cua 2 cong nhan.
2,4


cho so lieu trong bang duoi day:
          bien so xi              tan so f
12                                                            4
15                                                            9
17                                12
8                                                                 22
30                        7
6                          13
xac dinh mot (mo)
8


co tai lieu thong ke cua mot cong ty gom 3 xi nghiep cung san xuat mot loai san pham nhu sau:
xi nghiep
luong san pham
gia thanh mot don vi san pham
(tr.dong/tan)
a
2000
5
b
1600
6
c
1800
7

hay tinh gia thanh binh quan cua mot tan san pham cua toan cong ty:
5,96


mot nhom cong nhan cung san xuat mot loai san pham trong mot thoi gian nhu nhau: de lam ra mot san pham:
-         nguoi thu nhat het 12 phut
-         nguoi thu hai het 15 phut
-         nguoi thu ba het 20 phut
hay tinh thoi gian binh quan de lam ra mot san pham cua 3 cong nhan:
15

hai to cong nhan (to 1 co 10 nguoi, to 2 co 12 nguoi) cung san xuat mot loai san pham trong 6 gio, o to 1, moi cong nhan san xuat mot san pham het 12 phut, o to 2, moi cong nhan san xuat mot san pham het 10 phut. hay tinh thoi gian hao phi trung binh de san xuat mot san pham cua hai to cong nhan tren.
10,8


diem thi toan cao cap hoc ky vua qua cua mot lop co ket qua nhu sau:
               diem                    so sinh vien dat
10                        -
9                          2
               8                          3
               5                          18
               3                          3
               2                          2
tinh diem binh quan cua lop:
5,17

nang suat lao dong cua mot xi nghiep trong thang 12/2000 nhu sau:
               nsld (kg/nguoi)    so cong nhan
               50-60                   120
               60-70                   160
               70-80                   140
tinh so trung vi:
65,6


co so lieu ve muc thu nhap cua can bo cong nhan vien o mot cong ty nhu sau:
               muc luong
               (1.000 dong)        so nguoi
               400-500               30
               500-600               40
               600-700               80
               700-800               50
               800-900               20
xac dinh gia tri mot ve thu nhap:
657,1

so cong nhan cua mot xi nghiep trong thang 6/2000 nhu sau:
·        ngay 1-6 co     200 nguoi
·        ngay 15-6            nhan them 10 nguoi
·     ngay 20-6         5 nguoi
va tu do den cuoi tahngs tuy khong thay doi. hay tinh so cong nhan trung binh trong thang 6-2000.
203


so cong nhan cua mot phan xuong trong tahngs 4/2000 bien dong nhu sau:
·        ngay 1-4 co     100 cong nhan
·        ngay 20-4 them    20 cong nhan
·        ngay 25-4 thoi 10 cong nhan
va den cuoi thang o thay doi:
hay xac dinh so cong nhan trung binh trong tahngs 4-2000.
105

co so lieu thong ke o bang sau:
loai hang
gia (1.000d)
luong tieu thu (kg)
ky goc
ky nghien cuu
ky goc
ky nghien cuu
a
20
40
10
14
b
10
20
30
20

hay tinh chi so gia ca tong hop theo cong thuc quyen so o ky goc.
2,0


co so lieu thong ke o bang sau:
loai hang
gia (1.000d)
luong tieu thu (kg)
ky goc
ky nghien cuu
ky goc
ky nghien cuu
a
40
50
10
16
b
60
70
20
24

hay tinh chi so gia ca tong hop theo cong thuc quyen so o ky nghien cuu:
1,19

so cong nhan cua mot nha may trong thang 6/2000 bien dong nhu sau:
·        ngay 1-6                                  400 cong nhan
·        16-6 den 20-6 nhan them                  10 cong nhan
·        ngay 21-6 den 25-6 cho thoi             20 cong nhan
·        tu ngay 26-6 den cuoi thang 30-6 cho thoi viec 15 cong nhan.
hay xac dinh so cong nhan trung binh trong thang 6-2000
396


co tai lieu cua mot xi nghiep nhu sau:

san pham
chi phi san xuat (tr.dong)
ty le % tang san luong
1996 so voi 1995
1995
1996
a
10
10,45
+10
b
20
23,0
+15

tinh chi so chung ve gia thanh(ap dung cong thuc quyen so ky goc)
98,33


cho so lieu o bang sau:
cac loai chi phi
gia don vi (1000d)
tong chi phi nam 1992
luong tieu thu nam 1992
1990
1992
- giay
20
30
9000
300
- but bi
12
8
2400
300

su dung cong thuc thich hop de tinh chi so gia ca tong hop:
1,187


biet go  - gia tri san xuat
vc     - tong gia tri tai san co dinh
vc-1   - tong gia tri phan tai san codinh thuc te tham gai san xuat

                                               
       dung de phan tich:
a.     hieuh qua su dung lao dong
b.     hieu qua su dung von lao dong
c.      hieu qua von dau tu co ban
d.     hieu qua su dung tai san co dinh
e.      cac y da neu deu khong dung



co 2 cong nhan cung san xuat 1 loai san pham trong cung mot thoi gian nhu nhau de lam mot san pham, nguoi thu nhat het 2 phut, nguoi thu hai het 6 phut. tinh thoi gain hao phi binh quan de san xuat mot san pham cua mot cong nhan.
3


gia tri xuat khau cua viet namo qua cac nam nhu sau:
nam
1989
1990
1991
gia tri xuat khau
(trieu usd)
1950
2400
2100

tinh toc do phat trien binh quan moi nam cua xuat khau nuoc ta:
1,037



co tai lieu ve nang suat lao dong cua cong nhan tai 3 xi nghiep trong thang 5-1990 nhu sau:
xi nghiep
so cong nhan
nsld trung binh 1 cn
(san pham)
so 1
100
200
so 2
200
380
so 3
300
600

tinh nsld trung binh cho ca 3 xi nghiep:
460



tinh diem binh quan cua mot lop biet diem binh quan cua nu la 7,5, nam sinh vien la 6,5, so luong sinh vien nam la 40, nu la 30.
6,93



cho bang sau;
loai dieu tra
dac diem
1. dieu tra chon mau
a. chi dieu tra o mot bo phan chu yeu cua tong the
2. dieu tra trong diem
b. chi dieu tra mot so don vi duoc chon va ket qua dieu tra suy rong ra toan tong the
3. dieu tra chuyen de
c. chi dieu tra mot so it don vi, tham tri chi mot don vi nhung di sau moi khia canh.


su tuong thich giua cot ben trai va cot ben phai nao duoi day la sai.
cap 3 va (b)


cho bang sau;

loai dieu tra
dac diem
1. dieu tra chon mau
a. chi dieu tra o mot bo phan chu yeu cua tong the
2. dieu tra trong diem
b. chi dieu tra mot so don vi duoc chon va ket qua dieu tra suy rong ra toan tong the
3. dieu tra chuyen de
c. chi dieu tra mot so it don vi, tham chi chi mot don vi nhung di sau nghien cuu moi khia canh.

su tuong thich giua cot ben trai va cot ben phai nao tren day la dung:
cap 3 va c

cho bang sau:

cac tham so do xu huong hoi tu
dac diem
1. trung binh cong
a. chiu tac dong boi gia tri cua moi quan sat
2. trung vi
b. khong chiu anh huong cua cac luong bien o 2 dau mut trong day so luong bien
3. mot
c. luong bien nam o giua day so
su tuong thich cot ben trai va cot ben phai nao duoi day la sai?
a.     cap 1 va a


toc do phat trien san xuat cua mot xi nghiep nam 1993 so voi nam 1992 la 105%. nam 1994 so voi nam 1993 la 115%. tinh toc do phat trien binh quan hang nam ve san xuat cua xi nghiep.
110%


trong truong hop nao duoi day la phuong phap nghien cuu thong ke hoc:
nghien cuu mat luong trong moi quan he voi mat chat cua hien tuong


cho bang sau;

cac tham so do xu huong hoi tu
dac diem
1. trung binh cong
a. chiu tac dong boi gia tri cua moi quan sat
2. trung vi
b. khong chiu anh huong cua cac luong bien o 2 dau mut trong day so luong bien
3. mot
c. luong bien nam o giua day so
su tuong thich giua cot ben trai va cot ben phai nao duoi day la dung?
cap 1 va b


doi tuong nao duoi day la don vi tong the thong ke trong dieu tra suc khoe toan bo lao dong trong doanh nghiep:
nguoi lao dong


tieu thuc nao duoi day la tieu thuc so luong cua nguoi cong nhan:
bac tho


xac dinh chi tieu thong ke trong cac truong hop sau day:
doanh thu ban hang


chi tieu nao the hien quy mo cua doanh nghiep:
tong gia tri san xuat


truong hop nao thuoc loai dieu tra thong ke khong toan bo:
thu thap tai lieu cua mot so don vi duoc chon


can cu de xac dinh tieu thuc phan to thong ke:
muc dich nghien cuu va ban chat cua hien tuong


tri so chenh lech giua gioi han tren va gioi han duoi cua moi to, goi la:
khoang cach phan to


chi tieu the hien chat luong san xuat kinh doanh cua doanh nghiep:
hieu suat su dung von san xuat kinh doanh







do thi thong ke nay thuoc loai nao:
















do thi phat trien


do thi thong ke nay thuoc loai nao:








do thi ket cau


so trung binh cong phan anh:
dai dien cho ca tap hop lon so lieu


cong thuc :
                              =  dung de tinh chi tieu nao duoi day:
trung binh cong gian don


cong thuc:   =         dung de tinh chi tieu nao duoi day?
trung binh cong gia quyen


cong thuc:  =  dung de tinh tri so nao duoi day?
trung binh cong dieu hoa


trong mot day luong bien, truong hop nao sau day la trung vi:
luong bien dung o vi tri chinh giua


trong mot day so luong bien khong co khoang cach to, truong hop nao sau day la mot:
luong bien duoc gap nhieu nhat


day so thoi gian co cac gia tri y1, y2, … yn. cong thuc :
= dung de xac dinh chi tieu nao?
muc do trung binh theo thoi gian


day so thoi gian co tri so: y1, y2, … yn . cong thuc = yi – yi-1  xac dinh chi tieu nao duoi day?
luong tang hoac giam tuyet doi


trong mot day so luong bien co gia tri lon nhat xmax va gia tri nho nhat la xmin. cong thuc nao duoi day xac dinh do phan tan:
xmax - xmim


day so thoi gian co cac tri so: y1, y2, , … yn
cong thuc ti =  xac dinh chi tieu nao duoi day/
toc do phat trien lien hoan


day so thoi gian co cac tri so: y1, y2, … yn
cong thuc ti =

toc do phat trien dinh goc


ti la toc do phat trien lien hoan, cong thuc ai = ti -1 xac dinh chi tieu nao duoi day?
toc do tang (giam ) lien hoan


po – gia ky goc va pi – gia ky bao cao
      qo – luong hang hoa ky goc va qi – luong hang hoa ky bao cao
                   cong thuc: ip =  tinh

chi so tong hop ve gia


. po – gia ky goc va p1 – gia ky bao cao
    qo – luong hang hao ky goc va q1 – luong hang hoa ky bao cao
          cong thuc tinh: iq =  tinh chi so nao duoi day
chi so tong hop ve khoi luong hang hoa


po – gia ky goc va p1 – gia ky bao cao
      qo – lluong hang hoa sky goc va q1 – luong hang hao ky bao cao
                   cong thuc tinh: ipq =  tinh chi so:
chi so tong daonh thu


nghien cuu ket qua san xuat xa hoi theo he thong mps cong thuc  c1 + c2 + v + m tinh chi tieu gia duoi day?
 tong san pham xa hoi


cong thuc c1 + c2 + v tinh
tong chi phi san xuat


tong san pham xa hoi tru di tong chi phi san xuat la chi tieu gi duoi day;
tong loi nhuan


do luong ket qua san xuat xa hoi theo he thong sna
cong thuc c1 + c2 + v + m phan anh chi tieu;
tong gia tri san xuat


chi phi vat chat ( c2) cong voi chi phi dich vu phuc vu cho san xuat kinh doanh va cac khoan  chi phi khac la:
chi phi trung gian


tong gia tri san xuat tru chi phi trung gian cong voi thue nhap khau hang hoa va dich vu la:
tong san pham quoc noi


cong thuc:
tong gia tri san xuat
      cua cac nganh          _
chi phi trung gian
        tung nganh        +
thue nhap khau san pham vat
chat va dich vu de xac dinh
 gdp

theo phuong phap san xuat


cong thuc;
thu nhap cua              +
nguoi san xuat
thue san       +
xuat
khau hao        +
tscd
thang du
san xuat
de xac dinh gdp:
theo phuong phap phan phoi





cong thuc:

tong gia tri san pham vat chat
va dich vu tieu dung cho dan cu  +
va xa hoi
tong gia tri tich luy
(tscd, tsld..         +
cho san xuat
chenh lech gia tri
xuat khau san pham vat chat va
san pham dich vu

de xac dinh gdp:
cac phuong phap dua ra deu dung


gdp –ci de xac dinh:
tong san pham trong nuoc thuan


pham tru kinh te bieu hien quan he so sanh ket qua kinh te dat duoc voi chi phi bo ra de dat duoc ket qua do la;
hieu qua kinh te


tang go va gdp la co so de xac dinh hieu qua kinh te theo quan diem:
loi ich toan xa hoi



tang loi nhuan la co so de xac dinh hieu qua kinh te theo quan diem:
loi ich doanh nghiep


chi tieu h = gdp: von co dinh, goi la:
hieu qua su dung tai san co dinh (von co dinh)


chi tieu h = von dau tu co ban:

hieu qua kinh te von dau tu  co ban








cong thuc:

                                                h = ( trong do: kq – ket qua san xuat kinh doanh; v – von san xuat;
                                                                   w  - nang suat lao dong ) de xac dinh chi tieu:
a.     hieu qua kinh te von dau tu co ban
b.     hieu qua su dung tai san co dinh
c.      hieu qua kinh te chung nguon luc san xuat
d.     hieu qua su dung von luu dong
e.      cac y neu ra khong dung







                             cong thuc
                   trong do: pa, pb la gia ca o 2 dia phuong a va b
                             qa, qb la luong hang hoa tieu thu tai 2 dia phuong a va b
cong thuc tren de tinh:
chi so gia ca khong gian


ky hieu(x) trong biey thong ke noi len:
bieu hien hien tuong khong co lien quan den dieu do, neu viet so lieu vao o do se vo nghia


ky hieu (-) trong cac bieu thong ke noi len:
hien tuong khong co so lieu do




cong thuc: y =
          trong do: yi (i = 1, 2, 3, …n) la muc do cua day so thoidiem co khoang cach thoi gian bang nhau:
          cong thuc tren de xac dinh;
muc do trung binh theo thoi gian tu mot day so thoi diem co khoang cach thoi gian bang nhau:


cong thuc ;
biet pm  la gai so sanh cac mat hang , qa, , qb , la luong hang hoa o dia phuong a va b. cong thuc :
                  
                                        de tinh chi so nao duoi day:
chi so khong gian ve so luong


biet ti la toc do phat trien lien hoan cua thoi gian i so voi thoi gian i – 1.
                   cong thuc: ai(5) = ti(%) – 100 de tinh chi tieu nao duoi day.
toc do tang (hoac) giam lien hoan


co tai lieu ve san luong cua mot xi nghiep nhu sau:
           nam            1985         1986       1987       1988       1989
           san luong   40             50           70           80           100
           (1000t)
tinh trung binh ???
68


co tai lieu ve gia tri hang hoa ton kho cua mot xi nghiep vao cac ngay dau thang nhu sau:
           ngay           1-1            1-2          1-3          1-4          1-5                   1-6
gia tri hang ton kho
(trieu dong)           100           120         140         150         160        180
gia thiet rang su bien dong ve gia tri hang hoa ton kho cua cac ngay trong thang tuong doi deu dan. hay tinh gia tri hang hoa ton kho trung binh trong thang:
142


biet yi( i = 1, 2, 3, ,…n) la cac muc do cua day so thoi diem cso khaong cach khong bang nhau:
           ti ( i = 1, 2, 3, … n) la do dai thoi gian co muc do yi
                             
                                              
cong thuc:

                   = de tinh
muc do trung binh theo thoi gian doi voi day so thoi diem co khoang cach thoi gian khong bang nhau.


diem thi ket thuc hoc phan cua cac mon kinh te coluong ket qua nhu sau;
       so diem      10        9           8         7           6           5           4           3         2
so sinh vien dat    1       2           4         8           12         30         16         7         2
5,2


san luong cua mot xi nghiep qua 5 nam nhu sau:          
       nam                       1995     1996   1997     1998     1999
san luong(1000)            200       220     260       300       320
tinh san luong trung binh nam
260


gia tri hang hoa ton kho cua mot cong ty vao cac diem dau thang 1, 2, 3, 4, 5 nam 2000 nhu sau:
       ngay                      1-1        1-2      1-3        1-4        1-5
gia tri hang ton kho      300       280     320       360       400
(trieu dong)                               
xac dinh hang hoa ton kho trung binh thang cua 4 thang dau nam.
327,5


co so lieu ve hang hoa ton kho cua mot cua hang nhu sau:
       ngay, thang            1-1        1-2      1-3        1-4
gia tri hang ton kho      700       900     600       800
(trieu dong)
       hay tinh gia tri hang hoa ton kho trung binh cua quyi.
750


san luong cua xi nghiep qua 4 nam nhu sau:
       nam                       1997     1998   1999     2000
san luong
(1000t)                          200       240     280       300

hay tinh luong tang tuyet doi nam 2000 so voi nam 1997
100


san luong cua xi nghiep a qua 4 nam nhu sau:
       nam                       1996     1997   1998     1999
san luong
(1000t)                          4000     5000   4600     4900

hay tinh luong tang hac giam tuyet doi trung binh
300


bao cao thong ke dinh ky la hinh thuc dieu tra:
dieu tra thuong xuyen


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