a class of 10 students was given a test in mathematics marks out of 50 secured by the students Where are as follows 38 31 41 36,29,27,32,38,39,45 find the mean score
Answers
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A class of 10 students was given a test in mathematics marks out of 50 secured by the students Where are as follows 38 31 41 36,29,27,32,38,39,45 find the mean score
:-
Given ,
The observation in data of 10 students is
38 ,31 ,41 36,29,27,32,38,39,45
As we know ,
Mean = Sum of no.of observations in the data/Total number of observations
Mean = 38+31+41+36+29+27+32+38+39+45
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10
Mean =
356/10
Mean = 35.6
So,The mean marks scored is
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In Statistics, we have ,
Mean ,Mode ,Median
Mean is the sum of observation by number of observations
Mode is the frequently occuring value in the data. Mode may or may not exist too .
Ex :-
6,9,5,7,6,3,2,6,8
Mode :- 6
1,2,3,4,5,6,7,8,9
MODE :- Doesn’t exist
Median is the middle most value after arranging all the observations either in ascending or descending order.
It is the value of a+b/2 if observations are even.
Concept
Mean = (sum of all the items)/(total number of items)
Given
marks of 10 students in a test out of 50 are- 38, 31, 41, 36, 29, 27, 32, 38, 39 and 45
Find
we need to find the mean score of the class
Solution
We have
38, 31, 41, 36, 29, 27, 32, 38, 39 and 45
The sum of all these numbers will be-
38 + 31 + 41 + 36 + 29 + 27 + 32 + 38 + 39 + 45 = 356
Thus the total marks are 356
and the total number of students are 10
Thus, the mean will be
356/10
= 35.6
Thus, the mean score of the class is 35.6
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