Find the mode, median and mean for the following data:
Marks obtained
25 − 35
35 − 45
45 − 55
55 − 65
65 − 75
75 − 85
Number of students
7
31
33
17
11
1
Answers
Mode = 46.1 , Median = 48.6 & Mean = 49.7
Step-by-step explanation:
Marks obtained Number of students CF
25 − 35 7 7
35 − 45 31 38
45 − 55 33 71
55 − 65 17 88
65 − 75 11 99
75 − 85 1 100
Total = 100
Median lies between 45 - 55
Median = 45 + 10 *(100/2 - 38)/33
= 45 + 10 * 12/33
= 45 + 3.6
= 48.6
33 is maximum frequency of any Group
Mode lies in 45 - 55
Mode = 45 + 10 * (33- 31)/(33 - 17 + 33 - 31)
= 45 + 10 * 2 / 18
= 45 + 1.1
= 46.1
Marks obtained Mean Number of students Mean * frequency
25 − 35 30 7 210
35 − 45 40 31 1240
45 − 55 50 33 1650
55 − 65 60 17 1020
65 − 75 70 11 770
75 − 85 80 1 80
100 4970
Mean = 4970/100 = 49.7
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