Question

Consider the data set 85, 95, 91, 82, 93, 87, 83. The mean is 88 and the median is 87 with a difference of 1. If 56 is added to the data set, what is the new difference between the mean and median? (Use the digits 0-9 to enter the difference.)

Answer 1

2

Finding the mean is simple.

Find the sum of the values by adding them all up.

Divide the sum by the number of values in the data set.

Finding the mode is also simple.

Place all numbers in a given set in order; this can be from lowest to highest or highest to lowest, and then count how many times each number appears in the set. The one that appears the most is the mode.

Answer 2

2.

Explanation:

Primarily, try to list the given set of numbers in ascending order (increasing order).

and then include 56 in the ascending order as the least number there.

which is like : 56, 82 ,83 ,85 ,87 ,91 ,93 ,95.

We now have 8 subsets.

To find the mean...Find the "average" by adding the above arranged values and then divide them by the number of subsets.

like this Mean = 56+82+83+85+87+91+93+95 ÷ 8 = 84.

and now look for the median...which is simply the sum of the two middle numbers in the arranged set which are 85 & 87 divided by 2 because that's their average.

Median = 85 + 87 ÷ 2 = 86.

and now we are supposed to find the difference of the mean & median. so let's subtract them from each other 86 - 84 = 2.

Peace to you.