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Median

For a symmetr...

Question

For a symmetrical distribution $P_{25}$ and $P_{75}$ are and $30$ and $70$ respectively. The value of median is

50

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30

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40

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none of these

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Solution

The correct option is A $50$
Required median $= \frac{P_{25} + P_{75}}{2} = \frac{30 + 70}{2} = 50$

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Similar questions

Variable	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$
Frequency	$12$	$30$	$-$	$65$	$-$	$25$	$18$

46

230.

46

230

f_{1}

f_{2}

How to find missing frequency in median
For example:
If the median of the distribution given below is 46, find the value of the missing frequencies.

class interval	10-20	20-30	30-40	40-50	50-60	60-70	70-80
Frequency	12	30	$f_{1}$	65	$f_{2}$	25	18

Variable:	10−20	20−30	30−40	40−50	50−60	60−70	70−80
Frequency:	12	30	−	65	−	25	18

46

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