Median

IMPORTANT

Median: Overview

This topic covers concepts, such as, Median of Grouped Data, Median, Understanding Applications of Measures of Central Tendency and Finding Median of Data Using Cumulative Frequency Tables etc.

Important Questions on Median

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In ascending order, the correct sequence of mean, mode and median for 3,7,9,11,5,2,11,7,4,6,7,5,3,11,3,7 is—

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The data of different natural numbers 4, 7, 10, 14, 2x+3, 2x+5, 22, 23, 30, 50 are in ascending order. How many possible values are there for the median of the data for various values of x?

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What is the median of all possible factors of 120?

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Frequency distribution of the scores of a class of 25 students in a test are given below.

 Scores  Frequency 45-49150-54155-59260-64165-69170-74275-79380-84385-89390-94595-993

Find the median class.

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Find the median:

Length (in mm) Number of leaves fi
118 126 3
127  135 5
136  144 9
145153 12
154  162 5
163-171 4
172-180 2

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Find the median :

Age (in years) Number of account holders
Below 20 2
Below 25 6
Below 30 24
Below 35 45
Below 40 78
Below 45 89
Below 50 92
Below 55 98
Below 60 100

Note: Accounts were given only to persons having age 18 years onwards but less than 60 years.

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Find the median, using the empirical relation between mean, median, and mode:

Monthly consumption (in units) Number of consumers
65 - 85 4
85 - 105 5
105 - 125 13
125 - 145 20
145 - 165 14
165 - 185 8
185 - 205 4

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Calculate the median:

Marks 11-15 16-20 21-25 26-30 31-35 36-40 41-45 46-50
Number of students 2 3 6 7 14 12 4 2

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If mean age for a village with 200 persons is 28.75 and the modal age is 40.00, find the median age :

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Find the median of the following given data;

40,43,41,43,42,40,45,43,40,42,41,44,45

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If we have mean=3.5, Mode=6.7, then find the median of this distribution.

 

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Calculate the median value of the given data:

Marks ObtainedBelow 15Below 25Below 35Below 45No. of students 35610

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Find the median wages of each day from the given frequency distribution:

Daily wages (in Rs.)60-7070-8080-9090-100No. of labourers36510

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Find the median of the following data:

200,201,205,203,200,201,205,204,202,203,200,202,201,200,205,201,203,206,202

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Find out the median of the following given data:

21,25,23,21,25,22,23,24,23,23,21,24,25,24,21,22

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Find the median of the following data:

11,13,14,11,13,12,13,14,15,14,11,13,14,13,11,12,15,13

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Find the median of the following data.

50,51,50,52,50,53,54,54,55,54,54,55,54

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Find the median of the following data.

60,62,61,60,63,64,63,64,65,60,63

 

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Find the Median of the following series

-6,-2,-7,-3,3,7,-10,-12,12 and 14.

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Rahul scored runs in 5 matches such that the mean and median of the runs is 60. Also the only mode of runs us 85 runs. He scored 50 runs in his second match. Find the difference between his highest score and lowest score?