from a handpicked tutor in LIVE 1-to-1 classes

# The following are weights (in kg) of 12 people. 70, 62, 54, 57, 62, 84, 75, 59, 62, 65, 78, 60

(a) Find the mean of the weights of the people.

(b) How many people weigh above the mean weight?

(c) Find the range of the given data

**Solution:**

Given, the __data__ is 70, 62, 54, 57, 62, 84, 75, 59, 62, 65, 78, 60

Arranging the data in __ascending order__, we get

54, 57, 59, 60, 62, 62, 62, 65, 70, 75, 78, 84

(a) We have to find the mean of the given data

We know, __mean__ = sum of observations / number of observations

Sum of observations = 54 +57 + 59 + 60 + 62 + 62 + 62 + 65 + 70 + 75 + 78 + 84

= 788

Number of observations = 12

Mean = 788/12

= 394/6

= 197/3

= 65.6 kg

Therefore, the mean is 65.6 kg

(b) We have to find the number of people who weigh above the mean weight.

Mean weight = 65.6 kg

Now, weight above mean weight = 70, 75, 78, 84

Therefore, the number of people whose weight is above mean weight = 4

(c) We have to find the __range__ of the given data.

We know that the difference between the highest and lowest observations in a given data is called its Range.

Highest observation = 84

Lowest observation = 54

Range = highest observation - lowest observation

= 84 - 54

= 30

Therefore, the range is 30 kg.

**✦ Try This: **The following are weights (in kg) of 13 people. 71, 60, 53, 47, 63, 85, 65, 79, 52, 653 77, 50, 71

(a) Find the mean of the weights of the people.

(b) How many people weigh above the mean weight?

(c) Find the range of the given data

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 3

**NCERT Exemplar Class 7 Maths Chapter 3 Problem 55**

## The following are weights (in kg) of 12 people. 70, 62, 54, 57, 62, 84, 75, 59, 62, 65, 78, 60 (a) Find the mean of the weights of the people. (b) How many people weigh above the mean weight? (c) Find the range of the given data

**Summary:**

The following are weights (in kg) of 12 people. 70, 62, 54, 57, 62, 84, 75, 59, 62, 65, 78, 60 (a) The mean of the weights of the people is 65.6 kg, (b) Number of people whose weight is above the mean weight is 4, (c) The range of the given data is 30 kg

**☛ Related Questions:**

visual curriculum