Median of Grouped Data
Median of Grouped Data: Overview
This topic talks about median, the middle value of any distribution of data given. Here, we will find the median for discrete and grouped data with the help of solved examples.
Important Questions on Median of Grouped Data
50 students enter for a school javelin throw competition. The distance (in metre) thrown are recorded below
| Distance (in m) | |||||
| Number of students |
Are the median distance calculated in (ii) by drawing ogive and (iii) by cumulative frequency same?
50 students enter for a school javelin throw competition. The distance (in metre) thrown are recorded below
| Distance (in m) | |||||
| Number of students |
Calculate the median distance by using the formula for median.
The table below shows the salaries of persons.
| Salary (inthousand) | Number of persons |
Calculate the median and mode of the data.
Draw the less than type and more than type ogives for the data and use them to find the median weight.
The weights of tea in packets shown in the following table
| Weight (in g) | Number of packets |
Size of agriculture holdings in a survey of families is given in the following table.
| Size of Agricultural Holdings (in hec) | Number of families |
Compute median and mode size of the holdings.
Draw the less than type ogive for this data and use it to find the median weight.
The weights of tea in packets:
| Weight (in g) | Number of packets |
The median of the following data is . Find the values of and , if the sum of all the frequencies is .
| Marks | Frequency |
The maximum bowling speeds, in per hour, of players at a cricket coaching centre are given as follows.
| Speed (in ) | ||||
| Number of players |
Calculate the median bowling speed.
Will the median class and modal class of grouped data always be different? Justify your answer.
Consider the following frequency distribution
| Class | 0-5 | 6-11 | 12-17 | 18-23 | 24-29 |
| Frequency | 13 | 10 | 15 | 8 | 11 |
The upper limit of the median class is
The sum of lower limits of the median class and modal class is
| Class | |||||
| Frequency |
