Median
Important Questions on Median
Two ogives, 'less than' type and 'more than' type of the same data intersect at the point . The _____ of this point represents half of total frequency.

Which measure of central tendency is given by the co-ordinate of the point of intersection of 'more than' ogive and 'less than' ogive. (mean/mode/median)

If the median of the following distribution given below is , find the values of and :
Class interval | Total | ||||||
Frequency |
Note: This question given in the book seems to have errors and the modified question should be as given below:
If the median of the following distribution given below is , find the values of and :
Class interval | Total | ||||||
Frequency |

A survey regarding the heights (in ) of girls of class X of a school was conducted and the following data was obtained:
Height (in ) | Number of Girls |
Less than | |
Less than | |
Less than | |
Less than | |
Less than | |
Less than |
Find the median height.

What is the value of if the median of the data, in ascending order is ?

Median of first prime numbers is

Consider the data:
Class | |||||||
Frequency |
The difference of the upper limit of the median class and the lower limit of the modal class is

Consider the following frequency distribution
Class | |||||
Frequency |
The upper limit of the median class is

For the following distribution:
Class | |||||
Frequency |
The sum of lower limits of the median class and modal class is

Write the median class for the following frequency distribution.
Class interval | Frequency |

The abscissa of the point of intersection of the less than type and of the more than type cumulative frequency curves of a grouped data gives its

Consider the table:
Class interval | ||||
Frequency |
Then, the median is

If is removed from the data , then the median increases by


The abscissa of the point of intersection of 'Less than' and 'More than' type cumulative frequency curves of a grouped data gives its

The cumulative frequency table is useful in determining the

Median of a frequency distribution is determined graphically from

For a distribution with _____ number of observations, median th observation. (odd / even)

We cannot find the median of data graphically without drawing both 'less than' and 'more than' ogives on the same graph paper.

Median is a valid formula for calculating the median of grouped data with equal size.

