Find the missing frequency 'f' if the mode of the data is 39 Class interval 5-15 - Maths - Statistics

Question

Find the missing frequency 'f' if the mode of the data is 39

Class interval
5-15
15-25
25-35
35-45
45-55
55-65
65-75

Frequency
2
3
f
7
4
2
2

Shruti Tyagi · Accepted Answer

Dear student,

Considering the given mode is 39 ans solving further

Class Interval
Frequency

5-15
2

15-25
3

25-35
f

35-45
7

45-55
4

55-65
2

65-75
2

20+f

As, mode=39So, the modal class=40−55l=35, h=10, f0=f, f1=7, f2=4As, mode=l+ f1- f02f1-f0-f2×h39=35+7- f2×7-f-4×10⇒39-35=7- f14-f-4×10⇒4=7- f10-f×10⇒410=7- f10-f⇒40-4f=70-10f⇒10f-4f=70-40⇒6f=30⇒f=306⇒f=5

Regards

Class interval	5-15	15-25	25-35	35-45	45-55	55-65	65-75
Frequency	2	3	f	7	4	2	2

Find the missing frequency 'f' if the mode of the data is 39. Class interval 5-15 15-25 25-35 35-45 45-55 55-65 65-75 Frequency 2 3 f 7 4 2 2

Find the missing frequency 'f' if the mode of the data is 39.

Class interval 5-15 15-25 25-35 35-45 45-55 55-65 65-75

Frequency 2 3 f 7 4 2 2