Question

Find the range, mean, median, and mode of the following data set.
20, 3, 1, 21, 16, 22
a.
Range 26
Mean 13.8
Median 18
Mode 22
c.
Range 21
Mean 12.8
Median 18
Mode none

b.
Range 21
Mean 13.8
Median 1
Mode none
d.
Range 21
Mean 13.8
Median 18
Mode none

Answer 1

To find range you take the highest number in your data set and subtract your lowest value. So, your highest value is 22 and the lowest is 1. This gives you the rage of 21.
To find mean you add up all the values and then divide by how many values you have. 20 + 3 + 1 +21 +16 + 22 = 83 and then you divide by 6. This gets you the answer of 13.8
To find median you place the numbers from least to greatest. 1, 3, 16, 20, 21, 22. There is not a value that is directly in the middle. So, you add 16 and 20 together and then take the average. This gets you 18 for the median.
Mode is the number that is repeated the most often in a data set. You do not have any values reoccurring. This means there is no mode.

This means the answer is d.