Measures of Center Quick Check

Answer 1

1. What is the mean of the following set of numbers: 12, 16, 20, 24, 28?

To find the mean, add all the numbers together and then divide by the total number of numbers.
12 + 16 + 20 + 24 + 28 = 100
Mean = 100 / 5 = 20

2. What is the median of the following set of numbers: 10, 15, 20, 25, 30?

To find the median, arrange the numbers in numerical order and then find the middle number.
10, 15, 20, 25, 30
Median = 20

3. What is the mode of the following set of numbers: 5, 7, 8, 7, 10, 9, 7?

The mode is the number that appears most frequently in the set.
Mode = 7

4. What is the range of the following set of numbers: 4, 6, 9, 12, 15?

To find the range, subtract the smallest number from the largest number in the set.
Largest number: 15
Smallest number: 4
Range = 15 - 4 = 11

5. Which measure of center is most affected by outliers in a data set?

The mean is most affected by outliers in a data set. Outliers can greatly skew the mean, making it an unreliable measure of center in the presence of extreme values.