look at this set of 9 numbers: 95 96 95 76 37 74 76 17 10 by how much would the mean increase if the number…

look at this set of 9 numbers: 95 96 95 76 37 74 76 17 10 by how much would the mean increase if the number 26 replaced the number 17 in the set?
Answer
Explanation:
Step1: Calculate original sum
$95 + 96+95 + 76+37 + 74+76+17+10=586$
Step2: Calculate new sum
The change is replacing 17 with 26. So the new sum is $586 - 17+26=595$
Step3: Calculate original mean
The original mean is $\frac{586}{9}\approx65.11$
Step4: Calculate new mean
The new mean is $\frac{595}{9}\approx66.11$
Step5: Calculate increase in mean
$66.11 - 65.11 = 1$
Answer:
1