Arithmetic Mean

An arithmetic mean is the sum of a series of numbers divided by the total number of values in the series.

Finding the Arithmetic Mean

To find the arithmetic mean between two numbers, we add the numbers together and divide by the number of values in the series. In this case, we are looking for the four arithmetic means between -2 and 23.

Solution

First, we need to find the difference between -2 and 23:

23 - (-2) = 25

To find the arithmetic mean between -2 and 23, we divide 25 by 5 (because there are 5 values in the series):

25 ÷ 5 = 5

So, the first arithmetic mean is 5. To find the second arithmetic mean, we add 5 to 5 and divide by 2:

(5 + 5) ÷ 2 = 5

The second arithmetic mean is also 5. To find the third arithmetic mean, we add 5 to 5 and divide by 2:

(5 + 5) ÷ 2 = 5

The third arithmetic mean is also 5. To find the fourth arithmetic mean, we add 5 to 5 and divide by 2:

(5 + 5) ÷ 2 = 5

The fourth arithmetic mean is also 5.

Conclusion

Therefore, the 4 arithmetic means between -2 and 23 are 5, 5, 5, and 5.

Let, The Four Arithmetic Mean a1,a2,a3,a4 .Total No.Of Series Is 6.

a+(n-1)d=23

a+(6-1)d=23

-2+5d=23

5d=23+2
d=25/5

d=5
So The Four Arithmetic Means Are
-2+5=3
-2+10=8
-2+15=13
-2+20=18