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The data of the heights of Abhilasha’s family is given in cms as H = {163, 165, 165, 173, 175, 181, 187}. What is the mean height (approx.) and mode of the data of heights of her family?

The data of the heights of Abhilasha’s family is given in cms as H = {163, 165, 165, 173, 175, 181, 187}. What is the mean height (approx.) and mode of the data of heights of her family? Correct Answer 172.71cm, 165 cm

Given:

H = {163, 165, 165, 173, 175, 181, 187}

Number of people = 7

Concept Used:

Mode is the value that is repeated maximum number of times.

Formula Used:

Mean = Sum of terms/Number of terms

Calculations:

Sum of heights = (163 + 165 + 165 + 173 + 175 + 181 + 187) cm

⇒ Sum of heights = 1209 cm

Mean = Sum of terms/Number of terms

⇒ Mean Height = 1209/7

⇒ Mean Height = 172.71 cm

Mode = Value repeated maximum number of times

∵ Height of 165 cm is repeated twice

⇒ Mode = 165 cm

∴ The mean height and mode of the data of heights of Abhilasha’s family is 172.71 cm and 165 cm respectively.

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