Find the unknown entries a, b, c, d, e, f in the following distribution of heights of students in a class :

Height (in cm) Frequency Cumulative frequency
150-155
155-160
160-165
165-170
170-175
175-180
12
b
10
d
e
2
a
25
c
43
48
f
Total 50  

 

Answers (1)

Solution.  Frequency distribution: It tells how frequencies are distributed overvalues in a frequency distribution. However mostly we use frequency distribution to
summarize categorical variables.
a= 12    ( because first term of frequency and cumulative frequency is same ) 
12 + b = 25
b = 25 – 12
b = 13

25 + 10 = c
35= c
c + d = 43
35 + d = 43
d = 43 – 35
d=8

43 + e = 48
e = 48 – 43
e =5
48+2 = f
50 = f

Ans. a = 12, b = 13, c = 35, d = 8, e = 5, f = 50

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