Question

Calculate arithmetic mean and mode from the following data. No. of persons per house 2 ,3, 4, 5 ,6
No of houses 10 25 30 25 10​

Answer 1

Answer:

a.m. =20

mode= 4

Step-by-step explanation:

a.m=( 10+25+30+25+10)/5=20

mode is most repeated number Or number with high frequency here 30 is high frequency which I regarding to 4 thus mode is 4

Answer 2

Solution :-

Let,

→ Number of persons = Xi

→ Number of house = Fi

So,

Xi ------------ Fi ------------ FiXi

2 ------------- 10 ------------ 20

3 ------------- 25 ----------- 75

4 ------------- 30 ------------ 120

5 ------------- 25 ----------- 125

6 ------------- 10 ----------- 60

-----⅀Fi = 100----⅀FiXi = 400

then,

→ Arithmetic Mean = ⅀FiXi / ⅀Fi

→ Arithmetic Mean = 400/100

→ Arithmetic Mean = 4 (Ans.)

Now,

→ Mode = The most frequent observation in the data = Highest frequency = 30 .

So,

→ Mode = Number of person per house with highest frequency = 4 (Ans.)

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