# Given below are heights of 15 boys of a class measured in cm: 128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154. Find

(a) The height of the tallest boy.

(b) The height of the shortest boy.

(c) The range of the given data.

(d) The median height of the boys.

**Solution:**

Given, the heights of 15 boys of a class are measured in cm

The heights are 128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154

Arranging the data in __ascending order__, we get

128, 129, 136, 138, 140, 140, 142, 142, 143, 144, 144, 146, 150, 152, 154

(a) we have to find the height of the tallest boy.

From the __data__ arranged in ascending order,

The height of the tallest boy is 154 cm

(b) we have to find the height of the shortest boy

From the data arranged in ascending order,

The height of the shortest boy is 128 cm

(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 = 154

Lowest observation = 128

Range = highest observation - lowest observation

= 154 - 128

= 26

Therefore, the range is 26 cm

(d) we have to find the __median__ of the height of the boys.

When the given data is arranged in ascending (or descending) order, then the middle most observation is the median of the data.

If n is odd, then median = (n + 1)/2 th term

Number of observation = 15

Median = (15 + 1)/2 th term

= 16/2 th term

= 8th term

Therefore, Median = 142 cm

**✦ Try This: **Given below are heights of 10 boys of a class measured in cm: 130, 164, 146, 148, 132, 122, 128, 127, 130, 150. Find the height of the tallest boy

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

**NCERT Exemplar Class 7 Maths Chapter 3 Problem 69**

## Given below are heights of 15 boys of a class measured in cm: 128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154. Find (a) The height of the tallest boy. (b) The height of the shortest boy. (c) The range of the given data. (d) The median height of the boys

**Summary:**

Given below are heights of 15 boys of a class measured in cm: 128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154. (a) The height of the tallest boy is 154 cm, (b) The height of the shortest boy 128 cm, (c) The range of the given data 26 cm, (d) The median height of the boys 142 cm

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