Median of Grouped Data

IMPORTANT

Median of Grouped Data: Overview

This topic covers concepts such as Median, Median as the Middle Most Observation in the Data, Median for Even Number of Data, Median for Odd Number of Data, Finding Median of Data Using Cumulative Frequency Tables, Median of Grouped Data, etc.

Important Questions on Median of Grouped Data

EASY
IMPORTANT

Arjun rolled a die a number of times and recorded her results in a bar graph, as follows:
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What was the median score?

EASY
IMPORTANT

In his end of year exams, Joe scored the following:
Science 34%
English 90%
History 87%
Math 34%
Geography 55%
What was the mode?

EASY
IMPORTANT

In his end of year exams, Joe scored the following:
Science 34%
English 90%
History 87%
Math 34%
Geography 55%
What was the median?

HARD
IMPORTANT

Find the median of the scores 7, 10, 5, 8, 9.

MEDIUM
IMPORTANT

Calculate the median of the following frequency distribution table :

Class-interval Frequency fi
1-4 6
4-7 30
7-10 40
10-13 16
13-16 4
16-19 4
  fi=100

MEDIUM
IMPORTANT

Find the median of 23, 45, 12, 34, 65.

MEDIUM
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Find the the median of first seven composite numbers.

MEDIUM
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Find the median of the following data:

 Class-Interval  Frequency 20-40740-601560-802080-1008

EASY
IMPORTANT

Find the median of the scores 7, 10, 5, 8, 9.

MEDIUM
IMPORTANT

The weights of 60 boys are given in the following distribution table:

Question Image

Find the upper quartile.

MEDIUM
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The weights of 60 boys are given in the following distribution table:

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Find the lower quartile.

 

MEDIUM
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The weights of 60 boys are given in the following distribution table:

Question Image

Find the median.

 

HARD
IMPORTANT

Mode and mean of a data are12 k and15 k, respectively. Find the median of the data.

HARD
IMPORTANT

In a certain distribution, mean and median are 9.5 and 10, respectively. Find the mode of the distribution, using an empirical relation?

MEDIUM
IMPORTANT

The marks obtained by100 students in a Mathematics test are given below.

 Marks 0-1010-2020-3030-4040-5050-6060-7070-8080-9090-100 No. of Students 37121723149654

Draw an ogive for the given distribution on a graph sheet. Use a scale of 2 cm=10 units on both axis. Use the ogive to estimate the number of students who did not pass in the test if the pass percentage was 35.

MEDIUM
IMPORTANT

Find the median of the following distribution:

Measure of shoes 4.5 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0
No of shoes 1 2 4 5 15 30 60 95 82 75

MEDIUM
IMPORTANT

Find the median of the following distribution:

x 0.1 0.2 0.3 0.4 0.5 0.6 0.7
f 30 60 20 40 10 50 35

EASY
IMPORTANT

Give main uses of median.

MEDIUM
IMPORTANT

Find the median from the following frequency distribution

Class Interval 0-8 8-16 16-24 24-32 32-40 40-48
fi 42 30 50 22 8 5

HARD
IMPORTANT

Find the median form following frequency distribution

Class 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80
Frequency 2 6 10 17 30 15 10 10