Question

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Answer 1

Answer:

Q1) The scores in mathematics test (out of 25) of 15 students is as follows:

19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20

Find the mode and median of this data. Are they same?

Solution:

Given data:

19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20

Let us arrange the given data in increasing order

NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2 1

Since 20 occurs 4 times (highest)

∴ Mode = 20

n = 15 (odd)

∴ Median = n+12 th term =15+12

= 8th term = 20

Thus, median = 20 and mode = 20

∴ Mode and median are same.

In this case, median and mode are same.

Q2)