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Median for Grouped Data

If the median...

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If the median of the following frequency distribution is 46, find the missing frequencies. Variable frequency 10-20. 12 20-30. 30 30-40. ? 40-50. 65 50-60. ? 60-70. 25 70-80. 18 Total. 229

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Q. An incomplete frequency distribution is given below Median value is

46

, the missing frequency is

Variate	Frequency
$10 - 20$	$12$
$20 - 30$	$30$
$30 - 40$	?
$40 - 50$	$65$
$50 - 60$	$45$
$60 - 70$	$25$
$70 - 80$	$18$
Total	$229$

Q. If the median of the following frequency distribution is

46

. find the absolute difference of missing frequencies

Variable	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	Total
Frequency	$12$	$30$	$f_{1}$	$65$	$f_{2}$	$25$	$18$	$229$

An Incomplete distribution is given below:

Variables	10−20	20−30	30−40	40−50	50−60	60−70	70−80	Total
Frequency	12	30	?	65	?	25	18	229

You are given that the median value is 46. Using the median formula, fill up the missing Frequency.

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

You are given the median value is

46

and the total number of items is

230

Find:
Missing frequency

An incomplete distribution is given below:

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

If median value is

46

and the total number of items is

230

.

Find the missing frequencies

f_{1}

f_{2}

.

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