Question

The height of 3 children in the class are 150 cm , 138 cm and 162 cm respectively. Find the average height and range of height.​

Answer 1

Answer:

• Average = 150cm
• Range = 24cm

Explanation:

Given heights of 3 children in a class are 150cm, 138cm and 162cm respectively.

Find the average and the range of the height.

Average height of the class is given by,

$\rm = \dfrac{sum \: of \: the \: heights}{number \: of \: the \: children}$

$= \dfrac{150 + 138 + 162}{3}$

$= \dfrac{450}{3}$

$\rm = 150cm$

∴ Average height in the class is 150cm.

Now,

We know that,

Range of a data is the difference between the highest and the lowest values.

Here, Highest and the lowest values are 162 and 138cm respectively.

∴ Range = 162 - 138

= 24cm

∴ Range of the data is 24cm

Answer 2

Information provided with us:

• The height of 3 children in the class are 150 cm , 138 cm and 162 cm respectively

What we have to find :

• ➡ The required average height

• ➡ The required range of height.

Formula used :

$\rm \: \bigstar \: Mean \: height$

$\rm \: \implies \: \dfrac{Sum \: of \: heights \: of \: the \: children}{Total \: \: numbers \: of \: children}$

Here :

$\rm \bigstar \: {Sum \: of \: heights \: of \: the \: children}$

$\rm \implies \: 150 + 138 + 162$

$\bf \implies \: 450$

$\rm \bigstar{ \: Total \: \: numbers \: of \: children}$

$\bf \implies \: 3$

Now:

• ➡ Place the obtained or given values in the formula of mean height and solve

$\rm \implies \: \dfrac{450}{3}$

$\bf \implies \: 150$

Henceforth:

➡ The mean height is 150 cm

Note:

• ➡ The difference between the smallest and highest numbers or value is known as Range

Formula used:

$\rm \implies R = H - L$

Where :

• ➡ R = range
• ➡H = highest value
• ➡L = lowest value

Now:

• ➡ To Calculate the range, first put all the numbers in order from low to High

$\rm \implies \: 138, 150,162$

• ➡ Now Identify the lowest value (L) and the highest value (H).

$\rm \implies \: H = highest \: value = 162$

$\rm \implies \: L = lowest \: value = 138$

• ➡ Then subtract (take away) the lowest number from the highest

$\rm \implies R = H - L$

$\rm \implies R = 162 - 138$

$\bf\implies R = 24$

Therefore:

➡The range of height is 24cm