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

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: #32

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: #33

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: #34

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: #35

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

Question No: #36

If the median of the given data is `32`, then find the value of `x` and `y` when total frequency is `100`.
Class limitFrequency
0`-`10`10`
10`-`20`x`
20`-`30`25`
30`-`40`30`
40`-`50`y`
 50`-`60 `10`
Ans: `x=9, y=16`
SEE SOLUTION

Question No: #37

If the median of the given data is `28.5` , then find the value of `x` and `y` when total frequency is 60 .
শ্রেণিপরিসংখ্যা
0`-`10`5`
10`-`20`x`
20`-`30`20`
30`-`40`15`
40`-`50`y`
 50`-`60 `5`
Ans: `x=8, y=7`
SEE SOLUTION

Question No: #38

Find the median for the given data by drawing the two types of ogives.
ClassFrequency
0`-`10`7`
10`-`20`10`
20`-`30`23`
30`-`40`50`
40`-`50`6`
 50`-`60 `4`
Ans: `32`
SEE SOLUTION

Question No: #39

The table given below shows the frequency distribution of the scores obtained by 200 candidates in an entrance examination. Find the median of the given data by drawing ogive.
ScoreNo. of students
400`-`450`20`
450`-`500`30`
500`-`550`28`
550`-`600`26`
600`-`650`24`
650`-`700`22`
700`-`750`18`
 750`-`800 `32`
Ans: 580
SEE SOLUTION

Question No: #40

Find the mode for the following frequency distribution table.
ClassFrequency
45`-`54`8`
55`-`64`13`
65`-`74`19`
75`-`84`32`
85`-`94`12`
 95`-`104 `6`
Ans: 78.44 (approx)
SEE SOLUTION