Calculate the mean of the given data:

Size of item 2 4 6 8 10 12 14 16

Frequency 5 7 10 13 17 9 6 3

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Solution

X f fX

2
4
6
8
10
12
14
16 5
7
10
13
17
9
6
3 10
28
60
104
170
108
84
48

$Σ f$ =70 $Σ f X$ =612

Calculating the mean of the above data by using the direct method:

$X = \frac{Σ f X}{Σ f} or, X = \frac{612}{70} \Rightarrow X = 8.74$

Hence, the mean of the above series is 8.74

Suggest Corrections

C.I	5-6	8-10	11-13	14-16	17-19
Frequency	10	8	7	3	2

Size of Items	3−4	4−5	5−6	6−7	7−8	8−9	9−10
Frequency	3	7	22	60	85	32	9

Daily wages (in ₹)	2−4	4−6	6−8	8−10	10−12	12−14	14−16	16−18
No. of Workers	11	14	20	32	25	7	5	2

Class Interval	4−8	8−12	12−16	16−20	20−24	24−28	28−32	32−36	36−40
Frequency	10	12	16	14	10	8	17	5	4