List of top Mathematics Questions on Mode of Grouped Data

If the maximum number of students has obtained 52 marks out of 80, then

The modal class of the following table will be: 
\[ \begin{array}{|c|c|} \hline \text{Class Interval} & \text{Frequency} \\ \hline 0-5 & 5 \\ \hline 5-10 & 8 \\ \hline 10-15 & 12 \\ \hline 15-20 & 10 \\ \hline 20-25 & 7 \\ \hline \end{array} \]

The modal class of the following table will be: 
\[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Class Interval} & 0\text{--}5 & 5\text{--}10 & 10\text{--}15 & 15\text{--}20 & 20\text{--}25 \\ \hline \text{Frequency} & 2 & 7 & 11 & 8 & 6 \\ \hline \end{array} \]

A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the data :

Number of cars0 - 1010 - 2020 - 3030 - 4040 - 50 50 - 60 60 -7070 - 80
Frequency71413122011158

The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.

Runs scoredNumber of batsmen

3000 - 4000

4

4000 - 5000

18

5000 - 6000

9

6000 - 7000

7

7000 - 8000

6

8000 - 9000

3

9000 - 10000

1

10000 - 11000

1

Find the mode of the data.

The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures.

Number of students per teacherNumber of states / U.T
15 - 203
20 - 258
25 -309
30 - 3510
35 - 403
40 - 450
45 - 500
50 - 552

The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure :

Expenditure (in Rs)

Number of families

1000 - 1500

24

1500 - 2000

40

2000 - 2500

33

2500 - 3000

28

3000 - 3500

30

3500 - 4000

22

4000 - 4500

16

4500 - 5000

7

The following data gives the information on the observed lifetimes (in hours) of 225 electrical components :

Lifetimes (in hours)

0 - 20

20 - 40

40 - 60

60 - 80

80 - 100 

100 - 120

Frequency

10

35

52

61

28

29

Determine the modal lifetimes of the components.

The following table shows the ages of tha year:  

Age (in years) 

5 - 15

15 - 25

25 - 35

35 - 45

45 - 55

55 - 65

Number of patients

6

11

21

23

14

5

Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.