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Solution - Median of Grouped Data

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Question

The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a
locality. Find the median, mean and mode of the data and compare them.

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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Find the following table gives the distribution of the life time of 400 neon lamps

Life time (in hours) Number of lamps
1500 − 2000 14
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2500 − 3000 60
3000 − 3500 86
3500 − 4000 74
4000 − 4500 62
4500 − 5000 48

Find the median life time of a lamp.

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The distribution below gives the weights of 30 students of a class. Find the median weight of the students.

Weight (in kg) 40 − 45 45 − 50 50 − 55 55 − 60 60 − 65 65 − 70 70 − 75
Number of students 2 3 8 6 6 3 2
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100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows:

 

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7 - 10 40
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Below is the given frequency distribution of words in an essay

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600 – 8008
800 – 100022
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1200 – 140018
1400 - 160012

Find the mean number of words written.

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

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0 - 10 5
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