Find the mean of the following data .
Class Interval Frequency
$0 - 100$ $2$
$100 - 200$ $5$
$200 - 300$ $4$
$300 - 400$ $12$
$400 - 500$ $17$
$500 - 600$ $20$
$600 - 700$ $20$
$700 - 800$ $9$
$800 - 900$ $7$
$900 - 1000$ $4$

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Solution

The class marks are $x_{i} = 50, 150, 250, 350, 450, 550, 650, 750, 850, 950$
The frequencies are $f_{i} = 2, 5, 4, 12, 17, 20, 20, 9, 7, 4$
$\sum f_{i} = 100$
$\sum x_{i} f_{i} = 100 + 750 + 1000 + 4200 + 7650 + 11000 + 13000 + 6750 + 5950 + 3800 = 54200 ¯ x = \frac{\sum x_{i} f_{i}}{\sim x_{i}} = \frac{54200}{100} = 542$

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Similar questions

Q. The median of the following data is

525

. Find the values of

x

and

y

, if the total frequency is

100

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

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	$4$

Q. The median of the following data is 525. Find the missing frequency, if it is given that there are 100 observation in the data:

Class interval	Frequency	Class interval	Frequency
0−100 100−200 200−300 300−400 400−500	2 5 f₁ 12 17	500−600 600−700 700−800 800−900 900−1000	20 f₂ 9 7 4

The median of the following data is 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

The median of the following data is 525. Find the values of x and y, if the total frequency is 100.

$\begin{matrix} C l a s s I n t e r v a l & F r e q u e n c y 0 - 100 & 2 100 - 200 & 5 200 - 300 & x 300 - 400 & 12 400 - 500 & 17 500 - 600 & 20 600 - 700 & y 700 - 800 & 9 800 - 900 & 7 900 - 1000 & 4 \end{matrix}$ [4 MARKS]

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Find the mean of the following data .Class IntervalFrequency0−1002100−2005200−3004300−40012400−50017500−60020600−70020700−8009800−9007900−10004

The class marks are xi=50,150,250,350,450,550,650,750,850,950The frequencies are fi=2,5,4,12,17,20,20,9,7,4∑fi=100∑xifi=100+750+1000+4200+7650+11000+13000+6750+5950+3800=54200¯x=∑xifi∼xi=54200100=542

Find the mean of the following data .
Class Interval Frequency
$0 - 100$ $2$
$100 - 200$ $5$
$200 - 300$ $4$
$300 - 400$ $12$
$400 - 500$ $17$
$500 - 600$ $20$
$600 - 700$ $20$
$700 - 800$ $9$
$800 - 900$ $7$
$900 - 1000$ $4$