NMIMS

PARUL – MBA – Business statistics – Describe the importance and scope of Statistics

Business statistics

 

Q.1(a). Describe the importance and scope of Statistics

(b). Explain the characteristics of a frequency distribution.

©. Explain how statistics plays an important role in management planning and decision making?

(d). With the help of few examples explain the role of statistics as a managerial tool.

Q.2 The take-home salary (in Rs.) of 40 unskilled workers from a company for a particular month was.

Construct a frequency distribution having a suitable number of classes.

Q3. The following data give the points scored in a tennis match by two players X and Y at the end of twenty games:

(10, 12) (7, 11) (7, 9) (15, 19) (17, 21) (12, 8) (16, 10) (14, 14) (22, 18) (16, 7) (15, 16) (22, 20) (19,15) (7, 18) (11, 11) (12, 18) (10, 10) (5, 13) (11, 7) (10, 10)

Taking class intervals as: 5–9, 10–14, 15–19 . . ., for both X and Y, construct

(i) Bivariate frequency table.

(ii) Conditional frequency distribution for Y given X > 15.

 

Q4. The following distribution gives the pattern of overtime work per week done by 100 employees of a company.

 

Overtime hours

10-15

15-20

20-25

25-30

30-35

35-40

 

11

20

35

20

8

6

 

Calculate Q1, D7 and P60.

Q5. Find the missing frequency for the following incomplete distribution by using appropriate formula when mode is 36.

 

Marks

No. of Students

0-10

5

0-20

7

20-30

?

30-40

?

40-50

10

50-60

6

 

50

 

Q6. Mean and S.D. of 100 items are found by a student as 50 and 0.1. If at the time of calculation, two items are wrongly taken as 40 and 50 instead of 60 and 30. find correct mean and S.D.

 

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