Mean of 8 numbers is 27 if one more number is included then the mean is 26 find the the included number
Answers
Answer:
Total sum of 8 numbers = 27*8 = 216.
Total sum of 9 number = 26*9 = 234.
So, Included number = 234-216 = 18.
The included number is 18.
Given,
The mean/Average of 8 numbers is 27.
If one more number is included, then the mean is 26.
To Find,
The included number.
Solution,
In this question, we will use the formula of average.
Before solving the question, let's understand the concept of average.
Average:- As the mean of a given set of values, the average represents the ratio between the sum of the values in the set and the total number of values present.
The formula for average:
Average = Sum of Values/Number of Values
Now, let's solve the question,
In the First condition,
Mean = 27
number of values = 8
Sum of values =?
We will use the above formula.
27 =
Sum of values = 27 × 8.
On multiplying, we get the value,
Sum of values = 216.
In Second Condition,
Let the number included be x.
Mean = 26.
Number of values = 8+1 = 9.
Sum of values =?
We will use the above formula.
26 =
Sum of values = 26 × 9.
On multiplying, we get the value,
Sum of values = 234.
To find the value of x,
We have to subtract both the mean values,
x = 234 - 216
On subtracting, we get the value of x,
x = 18.
The included number is 18.
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