Question

What are the values of the mean, median, and spread for the number set:

10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13?

Please get step by step bot to explain.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the mean, median, and spread of the number set:

Mean:
Step 1: Add up all the numbers in the set:
10 + 10 + 11 + 11 + 11 + 11 + 12 + 12 + 12 + 12 + 13 + 13 = 128

Step 2: Divide the sum by the total number of values in the set (in this case, 12 values):
128 / 12 = 10.67

Therefore, the mean of the number set is 10.67.

Median:
Step 1: To find the median, first, arrange the numbers in the set in numerical order:
10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13

Step 2: Since there are 12 values in the set, the median is the average of the middle two numbers:
The middle two numbers are 11 and 12.
(11 + 12) / 2 = 11.5

Therefore, the median of the number set is 11.5.

Spread:
Step 1: To find the spread, subtract the smallest value in the set from the largest value in the set:
13 - 10 = 3

Therefore, the spread of the number set is 3.