Question

Margaret wants to determine how consistent the grades have been in history class. Margaret's quiz scores are 85, 86, 84, 88, 99, and 96.

Step 1: Find the mean. Round to the nearest whole number.

The mean is
.

Step 2: Find the distance each piece of data is from the mean.

Step 3: Find the average of the distance from Step 2. Round to the nearest whole number.

The MAD is
.

Answer 1

Answer: Mean = 89.67

Explanation:

Step 1:

Calculate the sum of integers, then divide by the number (N) of scores:

Sum of scores = 538

538 ÷ 6 = 89.67

Step 2:

89.67 - 85 = 4.67

89.67 - 86 = 3.67

89.67 - 84 = 5.67

89.67 - 88 = 1.67

99 - 89.67 = 9.33

96 - 89.67 = 6.33

Step 3:

Avg = Sum / N

4.67 + 3.67 + 5.67 + 1.67 + 9.33 + 6.33 = 31.34

Avg = 31.34 / 6 = 5.223

Step 3; 2: 5