Find the average age for which maximum cases occurred
What is average in statistics
Answers
Here class intervals are not inclusive form. So, we first convert them in inclusive from by subtracting h/2 from the lower limit and adding h/2 to the upper limit of each class, where h is the difference between the lower limit of a class and the upper limit of the preceding class. The given frequency distribution in inclusive form is as follows.
Age ( in years) 4.5-14.5 14.5-24.5 24.5-34.5 34.5-44.5 44.5-54.5 54.5-64.5
No. of cases: 6 11 21 23 14 5
We observe that the class 34.5−44.5 has the maximum frequency. So, it is the modal class such that,
l=34.5,h=10,f=23,f
1
=21,andf
2
=14
∴Mode=l+
2f−f
1
−f
2
f−f
1
×h
⇒Mode=34.5+
46−21−14
23−21
×10
⇒Mode=34.5+
11
1
×10
⇒Mode=36.31
Step-by-step explanation:
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