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

#### 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

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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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