Median

Author:J P Mohindru & Bharat Mohindru
10th CBSE
IMPORTANT

Important Questions on Median

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

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

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If the median of the following distribution given below is 28.5, find the values of x and y:

Class interval  0-10 10-20 20-30 30-40 40-50 50-60 Total
Frequency 5 x 20 15 y 5 6

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 28.5, find the values of x and y:

Class interval  0-10 10-20 20-30 30-40 40-50 50-60 Total
Frequency 5 x 20 15 y 5 60

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A survey regarding the heights (in cm) of 51 girls of class X of a school was conducted and the following data was obtained:

Height (in cm) Number of Girls
Less than 140 4
Less than 145 11
Less than 150 29
Less than 155 40
Less than 160 46
Less than 165 51

Find the median height.

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What is the value of x if the median of the data, 6, 7, x-2, x, 17, 20 in ascending order is 10?

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Median of first 12 prime numbers is

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Consider the data:

Class 65-85 85-105 105-125 125-145 145-165 165-185 185-205
Frequency 4 5 13 20 14 7 4

The difference of the upper limit of the median class and the lower limit of the modal class is

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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

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For the following distribution:

Class 0-5 5-10 10-15 15-20 20-25
Frequency 10 15 12 20 9

The sum of lower limits of the median class and modal class is

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Write the median class for the following frequency distribution.

Class interval Frequency
0-10 4
10-20 4
20-30 8
30-40 10
40-50 12
50-60 8
60-70 4

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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

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Consider the table:

Class interval 35-45 45-55 55-65 65-75
Frequency 8 12 20 10

Then, the median is

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If 35 is removed from the data 30, 34, 35, 36, 37, 38, 39, 40, then the median increases by

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

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The cumulative frequency table is useful in determining the

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Median of a frequency distribution is determined graphically from

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For a distribution with _____ number n of observations, median =n+12th observation. (odd / even)

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

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Median =l+N2-C×hf is a valid formula for calculating the median of grouped data with equal size.