Question

Q29. Find the average of all the even numbers between 27 and 37.​

Answer 1

Topic : Arithmetic Mean

To Find : Average of all even numbers between 27 and 37.

Solution :

List even numbers between 27 and 37,

28, 30, 32, 34 and 36.

Count obtained numbers,

There are 5 even numbers between 27 and 37.

Calculate sum of obtained numbers,

28 + 30 + 32 + 34 + 36

58 + 66 + 36

124 + 36

160

Now, use formula of Arithmetic Mean,

Formula of Arithmetic Mean

Arithmetic Mean =

Sum of terms / Number of terms

Arithmetic Mean = 160 / 5

Arithmetic Mean = 32

Answer :

So, average of all even numbers between 27 and 37 is 32.

Note :

• Arithmetic Mean is another name of Average.

• Whenever word 'between' is used then we exclude extreme values. For example, we have excluded 27 and 37 here.

• From above mentioned note, we may say that the answer would remain same if question was asked for numbers between 26 and 38, as 26 and 38 will be excluded here.