The heights (in cm) of 50 students of a class are given below:

Height (in cm) 156 154 155 151 157 152 153

Number of students 8 4 10 6 7 3 12

Find the median height.

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Solution

Arranging the terms in ascending order:

Cumulative frequency table:

Number of terms, N = 50

$Median = \frac{1}{2} \{(\frac{N}{2}) th observation + (\frac{N}{2} + 1) th observation\} = \frac{1}{2} \{25 th observation + 26 th observation\} = \frac{1}{2} \{154 + 155\}$

Median =154.5

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Similar questions

Height (in cm)	156	154	155	151	157	152	153
No. of students	8	4	10	6	7	3	12

Height (cm)	150	151	152	153	154	155	156	157	158
No. of students	15	20	32	35	33	22	20	12	10

50

Height (in cm)	$156$	$155$	$154$	$153$	$152$	$151$	$150$
Number of students	$8$	$4$	$6$	$10$	$12$	$3$	$7$

\begin{matrix} H i g h t (i n c m) & 160 & 150 & 152 & 161 & 156 & 154 & 155 N u m b e r o f s t u d e n t s & 12 & 8 & 4 & 4 & 3 & 3 & 7 \end{matrix}

Height (in cm)	130−136	136−142	142−148	148−154	154−160	160−166
Number of students	9	12	18	23	10	3

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