In a mathematics test given to 15 students,the following marks(out of 100) are recorded:
41,39,48,52,46,62,54,40,96,52,98,40,42,52,60
Find the mean and mode of this data.
Answers
mean of data= sum of all observation/ number of observation
= 41+39+48+52+46+62+54+40+96+52+98+40+42+52+60/15
= 822/15 = 54.8
median= arranging data in assending order
= 39,40,40,41,42,46,48,52,52,52,54,60,62,96,98
number of observation=n= 15 (odd number)
median= (n+1/2)th observation
(15+1/2)th observation
8th observation
= 52
here,
39occurs = 1 time
40 occurs= 2 time
41 occurs = 1 time
42 occurs= 1 time
46 occurs = 1 time
48 occurs = 1 time
52 occurs= 3 time
54 occurs= 1 time
60 occurs = 1 time
62 occurs = 1 time
96 occurs = 1 time
98 occurs= 1 time
since 52 occurs maximum time
so mode= 52
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mean of data= sum of all observation/ number of observation
= 41+39+48+52+46+62+54+40+96+52+98+40+42+52+60/15
= 822/15 = 54.8
median= arranging data in assending order
= 39,40,40,41,42,46,48,52,52,52,54,60,62,96,98
number of observation=n= 15 (odd number)
median= (n+1/2)th observation
(15+1/2)th observation
8th observation
= 52
here,
39occurs = 1 time
40 occurs= 2 time
41 occurs = 1 time
42 occurs= 1 time
46 occurs = 1 time
48 occurs = 1 time
52 occurs= 3 time
54 occurs= 1 time
60 occurs = 1 time
62 occurs = 1 time
96 occurs = 1 time
98 occurs= 1 time
since 52 occurs maximum time
so mode= 52