The heights of 10 girls were measured in cm and the results are as follows: 135, 150, 139, 128, 151, 132, 146, 149, 143, 141.
(i) What is the height of the tallest girl?
(ii) What is the height of the shortest girl?
(iii) What is the range of the data?
(iv) What is the mean height of the girls?
(v) How many girls have heights more than the mean height.

Solution:

We use the basic formulae of statistics such as mean and range to solve the given problems.

The given data about the heights of 10 girls measured in cm are as follows: 135, 150, 139, 128, 151, 132, 146, 149, 143, 141

(i) The height of the tallest girl = 151 cm

(ii)The height of the shortest girl = 128 cm

(iii) Range of the data = Height of tallest girl – Height of the shortest girl

= 151 – 128

= 23 cm

(iv) Mean height of the girls = Sum of all heights (in mm) / Number of girls

Total number of girls = 10

Measurement of the heights of 10 girls = 135, 150, 139, 128, 151, 132, 146, 149, 143, 141.

= (135 + 150 + 139 + 128 + 151 + 132 + 146 + 149 + 143 + 141) / 10

=1414 / 10

=141.4 cm

(v) Five girls have heights more than the mean height i.e.,150, 151, 146, 149, 143.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 3

Video Solution:

The heights of 10 girls were measured in cm and the results are as follows: 135, 150, 139, 128, 151, 132, 146, 149, 143, 141. (i) What is the height of the tallest girl? (ii) What is the height of the shortest girl? (iii) What is the range of the data? (iv) What is the mean height of the girls? (v) How many girls have heights more than the mean height

NCERT Solutions Class 7 Maths Chapter 3 Exercise 3.1 Question 9

Summary:

The heights of 10 girls were measured in cm and the results are as follows: 135, 150, 139, 128, 151, 132, 146, 149, 143, 141. (i)The height of the tallest girl is 151 cm, (ii) The height of the shortest girl is 128 cm, (iii) Range of the data is 23 cm. (iv) Mean height of the girls is 141.4 cm, (v) Five girls have heights more than the mean height i.e.,150, 151, 146, 149, 143

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