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The mean of the following data will be ____.

Score
No. of candidates
400-450
20
450-500
35
500-550
40
550-600
32
600-650
24
650-700
27
700-750
18
750-800
24

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Detailed Solution

The mean of the following data will be 588.18.

Score	No. of candidates
400-450	20
450-500	35
500-550	40
550-600	32
600-650	24
650-700	27
700-750	18
750-800	24

The given frequency distribution table is:

Score	No. of candidates
400-450	20
450-500	35
500-550	40
550-600	32
600-650	24
650-700	27
700-750	18
750-800	24

Formula:
Mean

= ∑ f i x i ∑ f i

where

f i

is the frequency and

x i

is the mid-value of the class.
The frequency distribution table will be:

Score	No. of candidates	Mid-value, $x_{i}$	$f_{i} x_{i}$
400-450	20	425	8500
450-500	35	475	16625
500-550	40	525	21000
550-600	32	575	18400
600-650	24	625	15000
650-700	27	675	18225
700-750	18	725	13050
750-800	24	775	18600
	Σ $f_{i}$ =220		$f_{i} x_{i}$ =129400

M e a n = 129400220 = 588.18

Thus, the mean of the given data is 588.18.

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