The mean of the following frequency distribution is 350 - find the missing frequency-Clsaa - 100-200 - 200-300 - 300-400 - 400-500 - 500-600 - 600-700lilhline Frequeny - 5 - 3 - 3 - f - 2 - 1 INhline lend array

[ Class interual amp; frequency amp; Mean interual amp; Fixi; 100 200 amp; 5 amp; 100+200/2=150 amp; 750; ...

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Standard IX

Mathematics

Ungrouped Frequency Table

The mean of t...

Question

The mean of the following frequency distribution is 350, find the missing frequency:
$\begin{matrix} C l s a a & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 & 500 - 600 & 600 - 700 F r e q u e n y & 5 & 3 & 3 & f & 2 & 1 \end{matrix}$

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Solution

$\begin{matrix} C l a s s i n t e r u a l & f r e q u e n c y & M e a n i n t e r u a l & F i x i 100 - 200 & 5 & \frac{100 + 200}{2} = 150 & 750 200 - 300 & 3 & 250 & 750 300 - 400 & 3 & 350 & 1050 400 - 500 & f & 450 & 450 f 500 - 600 & 2 & 550 & 1100 600 - 700 & 1 & 650 & 650 \end{matrix}$
$S o, M e a m = \frac{\sum f i x i}{\sum f i} = \frac{4300 + 450 f}{14 + f}$
$350 = \frac{4300 + 450 f}{14 + f}$
4900 + 350f = 4300 + 450f
600 = 100f
f = 6

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Similar questions

Q. The mean of the following frequency distribution is

350

, find the missing frequency

Class	$100 - 200$	$200 - 300$	$300 - 400$	$400 - 500$	$500 - 600$	$600 - 700$
Frequency	$5$	$3$	$3$	-	$2$	$1$

Q. The median of the following data in

525

. Find the missing frequency, if it is given that there are

100

observations in the data:

Class interval	Frequency	Class interval	Frequency
0-100	$2$	500-600	$20$
100-200	$5$	600-700	$f_{2}$
200-300	$f_{1}$	700-800	$9$
300-400	$12$	800-900	$7$
400-500	$17$	900-1000	$4$

Find the median for the distribution given below.

$\begin{matrix} C l a s s & 200 - 300 & 300 - 400 & 400 - 500 & 500 - 600 & 600 - 700 N u m b e r o f s t u d e n t s & 3 & 5 & 20 & 10 & 6 \end{matrix}$

Q. Find the mode for the following frequency distribution.

Class	$0 - 100$	$100 - 200$	$200 - 300$	$300 - 400$	$400 - 500$	$500 - 600$
Frequency	$64$	$62$	$77$	$62$	$66$	$54$

Q. Find the modal class of the following distribution.

\begin{matrix} C l a s s & F r e q u e n c y 0 - 100 & 3 100 - 200 & 13 200 - 300 & 24 300 - 400 & 8 400 - 500 & 16 500 - 600 & 22 600 - 700 & 18 700 - 800 & 9 \end{matrix}

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The mean of the following frequency distribution is 350, find the missing frequency: Clsaa100−200200−300300−400400−500500−600600−700Frequeny533f21

Class interualfrequencyMean interualFixi100−2005100+2002=150750200−3003250750300−40033501050400−500f450450f500−60025501100600−7001650650 So, Meam=∑fixi∑fi=4300+450 f14+f 350=4300+450f14+f 4900 + 350f = 4300 + 450f 600 = 100f f = 6

The mean of the following frequency distribution is 350, find the missing frequency:
$\begin{matrix} C l s a a & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 & 500 - 600 & 600 - 700 F r e q u e n y & 5 & 3 & 3 & f & 2 & 1 \end{matrix}$