CBSE Class 10 Math Question Paper 2018 | Q22

This statistics question is a three mark question that appeared in CBSE class 10 Math board paper in 2018. A relatively easy question.

Question 22: The table below shows the salaries of 280 persons. Calculate the median salary of the data.

Video Explanation

Explanatory Answer | CBSE Class 10 2018 Board Paper Q22

Step 1: Compute Cumulative Frequency

Step 2: Compute the Median Class

The number of employees, n = 280
∴ \\frac{n}{2}) = 140
140 falls under the 10 - 15 class
∴ The median class is 10 - 15

Step 3: Compute Median

Value of median = l + \\frac{(n/2) - cf}{f}) × h
l = lower limit of median class = 10
\\frac{n}{2}) = 140
cf - cumulative frequency of class before the median class = 49
f - frequency of median class = 133
h - class size = 5

Median = 10 + \\frac{140 - 49}{133}) × 5 = 10 + \\frac{91}{133}) × 5
Median = 10 + \\frac{13}{19}) × 5 = 10 + \\frac{65}{19})
Median = 10 + 3.42 = 13.42