Statistics (Mean Median Mode)

Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #21

If `\sum_{i=1}^5 x_i=4` and `\sum_{i=1}^5 x_i^2=12`, then find the value of `\sum_{i=1}^5 2x_i(x_i-3)`.
Ans: `0`
SEE SOLUTION

Question No: #22

If `u_i = \frac{x_i - 10}{5}, \sum f_iu_i=30` and `\sum f_i = 50`, then find the value of `\bar{x}`.

Question No: #23

If the mean of a frequency distribution is `8.1`, `\sum f_ix_i = 132+5k, \sum f_i = 20`, then find the value of `k`.

Question No: #24

The numbers 6, 8, 10, 12, 13 and `x` are arranged in an ascending order. If the mean of the observations is equal to the median, find the value of `x`.

Question No: #25

If the numbers `11, 12, 14, x-2, x+4, x+9, 32, 38, 47` are arranged in ascending order and their median is `24`, what is the value of `x`?

Question No: #26

If the mode of the data `p+1, p+2, p-3, p+4, p+2` is 15, find the value of `p`.

Question No: #27

If the mean and median of a frequency distribution table are 32.5 and 30 respectively, then find the mode of this distribution.

Question No: #28

If the mean of the following data is 8, then find the value of `p`.
`x_i``f_i`
36
58
85
9`p`
118
 13 14

Question No: #29

Find the mean for the following frequency distribution table.
ClassFrequency
25`-`29`10`
30`-`34`12`
35`-`39`15`
40`-`44`5`
45`-`49`3`
 50`-`54 `5`
Ans: 36.4
SEE SOLUTION

Question No: #30

If the mean of scores in the following frequency distribution is `24`, then compute the missing frequency `p`.
Class (scores)No. of students
0`-`10`15`
10`-`20`20`
20`-`30`35`
30`-`40`p`
 40`-`50 `10`