PARUL – MBA – Business statistics
Business Statistics – Describe the importance and scope of Statistics.
Q.1(a). Describe the importance and scope of Statistics.
(b). Explain the characteristics of a frequency distribution.
(c). 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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