Question

2. Heights (in cm) of 25 children are given below:
168. 165, 163, 160, 163, 161, 162, 164, 163, 162, 164, 163, 160 162
165, 163, 162, 163, 164, 163, 160, 165, 163, 162
What is the mode of their heights? What do we understand by mode here?
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Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given,

Series = 168. 165, 163, 160, 163, 161, 162, 164, 163, 162, 164, 163, 160 162

165, 163, 162, 163, 164, 163, 160, 165, 163, 162

Total observation = 25

To Find,

Mode=?

Solution,

We know that mode is the number that appears maximum times in a series. So we will sort the series to find the mode.

Sorted series = (160, 160, 160, 161, 162, 162, 162, 162, 162, 163, 163, 163, 163, 163, 163, 163, 163, 164, 164, 164, 165, 165, 165, 168)

From the sorted series, we can clearly see the frequency of 160 is 3, the frequency of 162 is 5 and the frequency of 163 is 8. So, the frequency of 163 is maximum as it has appeared 8 times.

Therefore, Mode = 163

Hence, the Mode of given heights is 163. We understood that the maximum number of students has a height of 163 cm.