Finding Median for Grouped Data When Class Intervals Are Given
The marks obt...
Question
The marks obtained by 7 students in a test are given below: 57, 77, 70, 52, 49, 47, 77. The median is equal to
A
43
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B
47
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C
53
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D
57
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Solution
The correct option is D 57 First we arrange the data set in ascending order:
47, 49, 52, 57, 70, 77, 77
Median is the middle most value of a given data set. Number of observations = 7 (an odd number). ∴ Median = (n+12)thterm. Here n = 7, ⇒82=4thterm 4th term of the series = 57. Thus, Median = 57.