# CBSE 10th Math Sample Paper 2019 | Q28B

#### Median, Less Than Type Ogive

This 2019 CBSE class 10 Maths 4 mark question is from Statistics. A important question in statistics - drawing less than type ogive and computing median.

Question 28B: The following data indicates the marks of 53 students in Mathematics. Draw less than type ogive for the data and hence find the median.

Marks No.of.students Marks No.of.students
0 - 10 5 50 - 60 4
10 - 20 3 60 - 70 7
20 - 30 4 70 - 80 9
30 - 40 3 80 - 90 7
40 - 50 4 90 - 100 8

## NCERT Solution to Class 10 Maths

#### With Videos

Marks No.of.students Cumulative Frequency
Less than 10 5 5
Less than 20 3 8
Less than 30 4 12
Less than 40 3 15
Less than 50 3 18
Less than 60 4 22
Less than 70 7 29
Less than 80 9 38
Less than 90 7 45
Less than 100 8 53

Let us create a table with the data required to draw the less than ogive by taking the Marks data and Cumulative frequency. The less than ogive is drawn with the x-axis as the less than values at each class interval plotted against the Cumulative frequency on the y-axis.

Marks Cumulative Frequency
Less than 10 5
Less than 20 8
Less than 30 12
Less than 40 15
Less than 50 18
Less than 60 22
Less than 70 29
Less than 80 38
Less than 90 45
Less than 100 53

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