Calculate median and mode of the following data
C.i 10-19, 20-29, 30-39, 40-49, 50-59, 60-69, 70-79
fi 10,12,18,30,16,6,8
Answers
Answer:
Step-by-step explanation:
Sorry for some cuttings.......
Median = 42.83 Mode =44.1
Step-by-step explanation:
Class frequency cf
9.5 - 19.5 10 10
19.5 - 29.5 12 22
29.5 - 39.5 18 40
39.5 - 49.5 30 70
49.5 - 59.5 16 86
59.5 - 69.5 6 92
69.5 - 79.5 8 100
Median will lie between 39.5 - 49.5 as 50 comes between 40-70
Median = 39.5 + 10 * ( 50 - 40)/30
= 39.5 + 3.33
= 42.83
Mode will lie in 39.5 - 49.5 as maximum frequency = 30
Mode = 39.5 + 10 * (30 - 18)/(30 -18 + 30 - 16)
= 39.5 + 4.6
= 44.1
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