Question

find the mode of the following data class. 20-29. 30-39. 40-49. 50-59. 60-69 frequency. 15. 20. 50. 30. 10​

Answer 1

Step-by-step explanation:

Class 20-29 30-39 40-49 50-59 60-69

Frequency 15 20 50 30 10

Here the maximum class frequency is 50 and the class corresponding to this frequency is 40−49

So, the modal class is 40−49

The lower limit of modal class 40−49 is l=40

Class size c=10

Frequency of the modal class f1 =50

Frequency of the class preceding the modal class f0=20

Frequency of the class succeeding the modal class f2=30

z=l+( f1_f0/2f1_f0_f2)*c

=40+(50−20/2*50_20_30) *10

=40+30/50*10

=40+6

=46

∴ The mode for the given data is 46