21). For a series the value of mean deviation is 15, the most likely value of its quartile deviation is
| A). 12.5 |
| B). 11.6 |
| C). 13 |
| D). 9.7 |
|
22). If \( \Large \overline{x} \) is the arithmetic mean of n independent variates \( \Large x_{1},\ x_{2},\ x_{3}.....,\ x_{n} \) each of the standard deviation \( \Large \sigma \), the variance \( \Large \overline{x} \) is
| A). \( \Large \frac{\sigma^{2}}{n} \) |
| B). \( \Large \frac{n\sigma^{2}}{2} \) |
| C). \( \Large \frac{\left(n+1\right)\sigma^{2}}{3} \) |
| D). None of these |
|
23). Coefficient of skewness for the values median \( \Large = 18.8,\ Q_{1} = 14.6,\ Q_{3} = 25.2 \) is
| A). 0.2 |
| B). 0.5 |
| C). 0.7 |
| D). None of these |
|
24). The 7th percentile is equal to
| A). 7th decile |
| B). \( \Large Q_{3} \) |
| C). 6th decile |
| D). None of these |
|
25). Consider the following statements:
1. The values of median and mods can be determined graphically.
2. Mean, median and mode have the same unit.
3. Range is the best measure of dispersion
which of these is/are correct?
| A). (1) alone |
| B). (2) alone |
| C). Both (2) and (3) |
| D). None of these |
|
26). In a factory daily wages of 7 employees are Rs.50, Rs.60, Rs.70, Rs.80, Rs.90, Rs.100 and Rs.110. Calculate the arithmetic mean (AM)
| A). 80 |
| B). 70 |
| C). 90 |
| D). 60 |
|
27). Calculate the mean of the following marks secured by 40 students
| Marks: | 35 | 40 | 45 | 50 | 65 | 70 | | Number of students: | 4 | 3 | 2 | 16 | 8 | 7 |
| A). 74 |
| B). 54 |
| C). 84 |
| D). 64 |
|
28). Calculate the mean for the following frequency distribution.
| x: | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 | | f: | 6 | 8 | 9 | 10 | 7 | 5 | 15 |
| A). 54.32 |
| B). 62.24 |
| C). 48.16 |
| D). 42.14 |
|
29). Find the median for the following data 15, 24, 18, 9, 23, 6, 19
| A). 24 |
| B). 6 |
| C). 19 |
| D). 18 |
|
30). Find the median for the following data 42, 24, 51, 33, 15, 60
| A). 37.5 |
| B). 38.5 |
| C). 40 |
| D). 40.5 |
|
