The number of students absent in a class were recorded every day for 120 days and the information is given in the following frequency table :
No. of students absent (x): 0 1 2 3 4 5 6 7
No. of days (f) : 1 4 10 50 34 15 4 2
Find the mean number of students absent per day.

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Solution

Mean = $fraction numerator begin display style stack sum f subscript i x subscript i with i equals 1 below end style over denominator N end fraction$ = $fraction numerator 1 cross times 0 plus 4 cross times 1 plus 10 cross times 2 plus 50 cross times 3 plus 34 cross times 4 plus 15 cross times 5 plus 4 cross times 6 plus 2 cross times 7 over denominator 1 plus 4 plus 10 plus 50 plus 34 plus 15 plus 4 plus 2 end fraction$

Mean =

Therefore the mean number of students absent per day is 3.525

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Similar questions

No. of students absent (x):	0	1	2	3	4	5	6	7
No. of days (f):	1	4	10	50	34	15	4	2

120

No. of students absent ( $x$ )	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$
No. of days ( $f$ )	$1$	$4$	$10$	$50$	$34$	$15$	$4$	$2$

147

No. of students absent:	5	6	7	8	9	10	11	12	13	15	18	20
No. of days:	1	5	11	14	16	13	10	70	4	1	1	1

40

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