59,56,47,59,59,97,30,73
By how much would the mean decrease if the number 33 were added to the set
To find the mean decrease, we first need to find the current mean of the given set of numbers:
Mean = (59 + 56 + 47 + 59 + 59 + 97 + 30 + 73) / 8
Mean = 480 / 8
Mean = 60
Now, if we add 33 to the set, the new sum of the numbers will be:
480 + 33 = 513
And the new number of elements will be 9.
So, the new mean will be:
Mean = 513 / 9
Mean = 57
The decrease in the mean can be calculated as:
Decrease = Current Mean - New Mean
Decrease = 60 - 57
Decrease = 3
Therefore, the mean would decrease by 3 if the number 33 were added to the set.