LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
30 views
in Statistics by (54.3k points)
closed by

A random sample of 24 people is classified in the following table according to their ages:

Age

Frequency

10 – 20

4

20 – 30

6

30 – 40

8

40 – 50

2

50 - 60

4


What is the mean age of this group of people?


1. 25
2. 33.3
3. 16.67
4. 54.54

1 Answer

0 votes
by (30.0k points)
selected by
 
Best answer
Correct Answer - Option 2 : 33.3

Concept:

  • \({\rm{Mean}} = \frac{{\sum {\rm{xf}}}}{{\sum {\rm{f}}}}\)


Calculation:

Age

Frequency (f)

x

xf

10 – 20

4

15

60

20 – 30

6

25

150

30 – 40

8

35

280

40 – 50

2

45

90

50 - 60

4

55

220

 

\(\sum {\rm{f}} = 24\)

 

\(\sum {\rm{xf}} = 800\)

 

We know that, \({\rm{Mean}} = \frac{{\sum {\rm{xf}}}}{{\sum {\rm{f}}}}\)

\(\therefore {\rm{Mean}} = \frac{{800}}{{24}} = 33.3\)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...