# Center of a data set: mean, median, mode

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##### Intros

##### Examples

###### Lessons

- Determine the mean of each set of data:

a) {8, 5, 2, 12, 3}

b) {7, 5, 3, 8, 3, 4}

- Determine the median of each set of data:

a) {8, 5, 2, 12, 3}

b) {7, 5, 3, 8, 3, 4}

**Investigating the Impact of Outliers on the Mean and Median**

The heights (in cm) of students in a class are: {156, 152, 148, 159, 150}

a) Determine the mean and the median.

b) A new student with a height of 255 cm joins the class. How does the new data value (outlier)affect the mean and the median?

- Determine the mode of each set of data:

a) {8, 5, 2, 12, 5}

b) {6, 6, 6, 7, 7, 8, 8, 8, 9}

c) {1, 2, 3, 4}

**Determining the Mean of a Frequency Distribution**

Determine the mean for the population of scores in the following frequency table.

**score****frequency**4

6

5

3

7

8

9

2

**Determining the Weighted Mean**

Sarah has earned the following averages in her statistics course: homework-98, quizzes-92, tests-84. The overall course grade is comprised of: homework (10%), quizzes (20%), unit tests (40%), and final exam (30%).

a) What is Sarah's grade going into the final exam?

b) What score must Sarah earn on the final exam in order to earn a final grade of 90% for the course?