Question

Look at this set of 8 numbers:
16 67 26 40 97 61 33 28
By how much would the mean decrease if the number 21 replaced the number 61 in the set?

Answer 1

Answer:

The mean would decrease by 5.

Step-by-step explanation:

The given set of numbers are:-

16, 67, 26, 40, 97, 61, 33, 28.

Let the mean be = x

Therefore, 16 +67 + 26 + 40 + 97 +  61 + 33 + 28/8 = x

Therefore, 16 +67 + 26 + 40 + 97 +  61 + 33 + 28 = 8x

Now, if we replace 61 with 21, we have to subtract 40.

Thus, (16 +67 + 26 + 40 + 97 +  61 + 33 + 28) - 40 = 8x - 40

Therefore, the mean will be whole by 8.

 {(16 +67 + 26 + 40 + 97 +  61 + 33 + 28) - 40}/8 = (8x - 40)/8

                                                                               = x  - 5.

Hence, the mean decreases by 5.

HOPE THIS HELPS YOU....

Answer 2

Answer:

5

Step-by-step explanation:

original mean:

16 +67 +26+ 40+ 97 +61+ 33 +28/8

=368/8

=46

new mean:

16 +67 +26+ 40+ 97 +21+ 33 +28/8

=328/8

=41

so = 46-41

= 5

if it helps please mark brainliest