List of top Mathematics Questions on Mean of Grouped Data

Find the missing frequencies p and q in the following frequency distribution, when sum of frequencies is 40 and mean is 19 :
Find mean and mode of the following data :

The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.

Literacy rate (in %)45 - 5555 - 6565 - 75 75 - 85 85 - 95
Number of cities

11

10

7

4

4

A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.

Number of Days0 - 6 6 - 1010 - 1414 - 2020 - 2828 - 3838 - 40
Number of Students111074431

To find out the concentration of SO\(_2\) in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain city and is presented below:

Concentration of SO\(\bf{_2}\) (in ppm)Frequency

0.00 - 0.04 

0.04 - 0.08 

0.08 - 0.12 

0.12 - 0.16 

0.16 - 0.20 

0.20 - 0.24 

4

9

9

2

4

2

The table below shows the daily expenditure on food of 25 households in a locality

Daily expenditure  (in Rs)100 - 150150 - 200 200 - 250 250 - 300300 - 350
Number of households451222

Find the mean daily expenditure on food by a suitable method.

In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.

Number of heartbeats per minute50-5253-5556-5859-6162-64
Number of boxs1511013511525

Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

Thirty women were examined in a hospital by a doctor and the number of heartbeats per minute were recorded and summarised as follows. Find the mean heartbeats per minute for these women, choosing a suitable method.

Number of heartbeats per minute65 - 6868 - 7171 - 7474 - 7777 - 8080 - 8383 - 86
Number of boxs2438742

The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is Rs 18. Find the missing frequency f.

Daily pocket11 - 1313 - 1515 - 1717 - 1919 - 2121 - 2323 - 25
Number of workers76913f54

Consider the following distribution of daily wages of 50 workers of a factory

Daily wages (in Rs)500 - 520520 -540540 - 560560 - 580580 -600
Number of workers12148610

Find the mean daily wages of the workers of the factory by using an appropriate method.

A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house. 

Number of plants  0 − 22 − 4 4 − 66 − 8 8 − 1010 − 1212 − 14
Number of houses

1

2

1

5

6

2

3

Which method did you use for finding the mean, and why?