The heights of boys and girls of IX class of a school are given below.
Height (cm) $135$ $140$ $147$ $152$ $155$ $160$
Boys $2$ $5$ $12$ $10$ $7$ $1$
Girls $1$ $2$ $10$ $5$ $6$ $5$
Compare the average heights of the boys and girls.

Open in App

Solution

Height (cm) 135 140 147 152 155 160
Boys 2 5 12 10 7 1
Girls 1 2 10 5 6 5
Total number of Boys $= 2 + 5 + 12 + 10 + 7 + 1 = 37$
Sum of heights of all boys $= 135 \times 2 + 140 \times 5 + 147 \times 12 + 152 \times 10 + 155 \times 7 + 160 \times 1 = 5499$
Average height of boys $= \frac{5499}{37} = 148.62 c m$

Total number of Girls $= 1 + 2 + 10 + 5 + 6 + 5 = 29$
Sum of heights of all girls $= 135 \times 1 + 140 \times 2 + 147 \times 10 + 152 \times 5 + 155 \times 6 + 160 \times 5 = 4375$
Average height of girls $= \frac{4375}{29} = 150.86 c m$
Hence,
The average height of Girls is $2 c m$ greater than the average height of Boys.

Suggest Corrections

Similar questions

Q. If there are 10 boys and 12 girls in the class, the ratio of number of boys to girls is 6:5.

Q. In a class

\frac{1}{6}

of the children are girls and the rest are boys. If

\frac{3}{5}

of the girls and

\frac{1}{5}

boys are absent ; what fraction of the class is present?

A survey of heights (in cm) of 51 girls of class X of a school was conducted and the following data was obtained. Find the median height.

$\begin{matrix} H E I G H T (I N C M) & N U M B E R O F G I R L S B E L O W 140 & 4 140 - 145 & 7 145 - 150 & 18 150 - 155 & 11 155 - 160 & 6 160 - 165 & 5 \end{matrix}$

Q. The height of 50 girls of class X of a school are recorded as follows:

Height (in cm)	135−140	140−145	145−150	150−155	155−160	160−165
Number of girls	5	8	9	12	14	2

Draw a 'more than type' ogive for the above data. [CBSE 2014]

Q. In a class

3 / 5

of the children are girls and the rest boys. If

2 / 9

of the girls and

1 / 4

of the boys are absent, what fraction of the class is present?

Join BYJU'S Learning Program

Height (cm)	$135$	$140$	$147$	$152$	$155$	$160$
Boys	$2$	$5$	$12$	$10$	$7$	$1$
Girls	$1$	$2$	$10$	$5$	$6$	$5$

The heights of boys and girls of IX class of a school are given below.Height (cm)135140147152155160Boys25121071Girls1210565Compare the average heights of the boys and girls.

The heights of boys and girls of IX class of a school are given below.
Height (cm) $135$ $140$ $147$ $152$ $155$ $160$
Boys $2$ $5$ $12$ $10$ $7$ $1$
Girls $1$ $2$ $10$ $5$ $6$ $5$
Compare the average heights of the boys and girls.