The heights of 50 girls of Class X of a school are recorded as follows:

$\begin{matrix} H e i g h t (i n c m) & 135 - 140 & 140 - 145 & 145 - 150 & 150 - 155 & 155 - 160 & 160 - 165 N u m b e r o f g i l r s & 5 & 8 & 9 & 12 & 14 & 2 \end{matrix}$

Draw a 'more than type' ogive for the above data.

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Solution

The frequency distribution table of more than type is as follows:

Height (in cm) (lower class limits) Cumulative frequency (cf)

More than 135 45+5=50

More than 140 37+8=45

More than 145 28+9=37

More than 150 16+12=28

More than 155 14+2=16

More than 160 2

Taking the lower class limits on x-axis and their respective cumulative frequencies on y-axis, its ogive can be obtained as follows:

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Similar questions

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

35

Weight (in kg)	38-40	40-42	42-44	44-46	46-48	48-50	50-52
No. of students	3	2	4	5	14	4	3

62

Weight (in kg)	$\geq 45$	$\geq 50$	$\geq 55$	$\geq 60$	$\geq 65$	$\geq 70$	$\geq 75$	$\geq 80$
Number of teachers	$62$	$60$	$55$	$39$	$29$	$9$	$4$	$1$

50

(15.5, 20)

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Height (in cm) (lower class limits)	Cumulative frequency (cf)
More than 135	45+5=50
More than 140	37+8=45
More than 145	28+9=37
More than 150	16+12=28
More than 155	14+2=16
More than 160	2