Statistics (Mean Median Mode)

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

Click on each question to see answer & solution.

Question No: #31

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: #32

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: #33

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: #34

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: #35

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`

Question No: #36

The daily expenditure of 100 students are given below. Calculate `f_3` and `f_4` if the mean daily expenditure is ₹88.
Expenditure (in ₹)No. of students
40`-`60`5`
60`-`80`25`
80`-`100`f_3`
100`-`120`f_4`
 120`-`140 `5`
Ans: `f_3 = 50, f_4 = 15`
SEE SOLUTION

Question No: #37

If the mean of the following frequency distribution is `62.8` and the sum of all the frequencies is `50`, then compute the missing frequency `x` and `y`.
ClassFrequency
0`-`20`5`
20`-`40`x+y`
40`-`60`10`
60`-`80`y-x`
80`-`100`7`
 100`-`120 `8`
Ans: `x=-2, y=10`
SEE SOLUTION

Question No: #38

Find the median of the following frequency distribution.
ClassFrequency
1`-`5`2`
6`-`10`3`
11`-`15`6`
16`-`20`7`
21`-`25`5`
26`-`30`4`
 31`-`35 `3`
Ans: 18.36 (approx)
SEE SOLUTION

Question No: #39

Find the median of the following frequency distribution.
ClassFrequency
51`-`60`4`
61`-`70`10`
71`-`80`15`
81`-`90`20`
91`-`100`15`
 101`-`110 `4`

Question No: #40

Find the mean for the following frequency distribution table.
ScoresNo. of students
less than 10`8`
less than 20`15`
less than 30`29`
less than 40`42`
less than 50`60`
 less than 60 `70`
Ans: 34.61
SEE SOLUTION