Calculate Mean 44,45,30,36,44
Answers
The mean, or average, is calculated by adding up the scores and dividing the total by the number of scores. Consider the following number set: 3, 4, 6, 6, 8, 9, 11.
Step-by-step explanation:
Students of Class XI secured following marks in their Statistics paper.
Calculate arithmetic mean using Direct Method and Short-cut Method.
20, 44, 65, 28, 45, 67, 30, 50, 68, 39, 53, 70, 40, 60, 75
ANSWER:
Sr. No. Marks
(X) Deviation from the Assumed mean
d = X − A where A = 50
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15. 20
44
65
28
45
67
30
50 (A)
68
39
53
70
40
60
75 -30
-06
15
-22
-05
17
-20
0
18
-11
3
20
-10
10
25
N = 15 ΣX = 754 Σd = -104 + 108 = 4
where,
N= Number of items
ΣX= Total of monthly income of all the families
Σd= net sum of deviations
Calculation of Mean by direct method
X=ΣXNor, X¯¯¯=75415or, X¯¯¯=50.27⇒X¯¯¯ =50.27
Calculation of mean by short cut method
X=A+ΣdNor, X=50+415or, X=50+0.27=50.27⇒X=50.27
So, mean marks in statistics is 50.27