Question

The arithmetic mean of 110, 125, 140, 150 and 165 is​

Answer 1

Given,

An arithmetic Progression 110, 125, 140, 150, and 165.

To find,

Arithmetic mean of terms  110, 125, 140, 150,165.

Solution,

Arithmetic mean is defined as taking the sum of a group of all the numbers present in the set, then dividing that sum by the count of the numbers present in the set.

As there are 5 terms in the given problem then we will first add all the terms and then divide the sum of all terms by 5.

Therefore we get,

Arithmetic Mean = (110 + 125 + 140 + 150 + 165)/5

⇒ 690/5

⇒ 138.

Hence, The arithmetic mean of 110, 125, 140, 150 and 165 is​ 138.

Answer 2

Given,

110, 125, 140, 150 and 165.

To find,

The arithmetic mean of 110, 125, 140, 150 and 165.

Solution,

The arithmetic mean of 110, 125, 140, 150 and 165 will be 138.

We can easily solve this problem by following the given steps.

We know that the mean of given observations can be found by dividing the sum of all the observations by the number of observations.

Mean = Sum of all the observations/Number of the observations ( This is the simple and direct formula to find the arithmetic mean of observations. Some other methods are the step deviation method and the assumed mean method.)

Mean = 110 + 125 + 140 + 150 + 165/5

Mean = 690/5

Mean = 138

Hence, the mean of the given five numbers is 138.