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The Table Below Shows the Salaries of 280 Persons : Calculate the Median Salary of the Data. - CBSE Class 10 - Mathematics

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Question

The table below shows the salaries of 280 persons :

Salary (In thousand Rs) No. of Persons
5 – 10 49
10 – 15 133
15 – 20 63
20 – 25 15
25 – 30 6
30 – 35 7
35 – 40 4
40 – 45 2
45 – 50 1

Calculate the median salary of the data.

Solution

Salary (In thousand Rs) Frequency CF
5 – 10 49 49
10 – 15 133 182
15 – 20 63 245
20 – 25 15 260
25 – 30 6 266
30 – 35 7 273
35 – 40 4 277
40 – 45 2 279
45 – 50 1 280

`N/2 = 280/2 = 140`

The cumulative frequency which is greater than and nearest to 140 is 182.

Median class = 10-15

We also have,

l (lower limit of median class) = 10

h (class size) = 5

n (number of observations) = 280

cf = (cumulative frequency of the class preceding the median class) = 49

f (frequency of median class) = 133

Median for grouped data is given by the formula :

Median  = `l  + ((n/2 - cf)/f) xx h`

where is the frequency of median class and cf is the cumulative frequency of previous class.

Median = `10 + (140 - 49)/133 xx 5 = 13.42`

  Is there an error in this question or solution?
Solution The Table Below Shows the Salaries of 280 Persons : Calculate the Median Salary of the Data. Concept: Median of Grouped Data.
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