Question

Find the mean, median, and mode of the dataset {5,3,8,4,3,6,17,3,5,3} . Show all your work.

Answer 1

To find the mean, we need to add up all the numbers in the dataset and then divide by the total number of numbers:

Mean = (5 + 3 + 8 + 4 + 3 + 6 + 17 + 3 + 5 + 3) / 10
Mean = 57 / 10
Mean = 5.7

To find the median, we first need to arrange the numbers in the dataset in ascending order:

3, 3, 3, 3, 4, 5, 5, 6, 8, 17

Since there are 10 numbers in the dataset, the median will be the average of the middle two numbers:

Median = (5 + 5) / 2
Median = 5

To find the mode, we need to identify the number that appears most frequently in the dataset. In this case, the number 3 appears most frequently (four times), so the mode is 3.