# Central Tendency Worksheets

What Are the Measures of Central Tendency? A measure of central tendency is the single value that represent that how a data set groups around the central value. In simpler terms, measure of central tendency defines the center of the data set. Typically, there are three measures of central tendency, namely, mean, median, and mode. Each of these measurements provides us with valuable information about the data set. We can use this information to how data points are related to each other in the data set. Mean - Mean or more commonly known as the average value is calculated by adding all the given data points and dividing them by the numbers of given data points. For example, we have values 2, 4, 6, 8, and 10. To find the mean of these values, we will first add all the values. 2 + 4 + 6+ 8 + 10, we will get 30. Then we will divide 30 with the number of given addends, which is 5 in this case. The mean we will get is 30/5 = 6. Median - Median is the number present in the middle of a given data set. That means it has an equal number of data points below and above it. For example, if few take the same data points, 2, 4, 6, 8, and 10. In this case, the median is 6, as it has an equal number of data points both above and below it. Mode - The mode tells us the number with the highest frequency that is it occurred the most in a data set. In our example, 2, 4, 6, 8, and 10, each number is present one time only; hence there is no mode in this data set.

• ### Basic Lesson

Introduces the application of mean and median in real life problems. For what value of x will 9, 16, and x have the same mean (average) as that of 26 and 12? The mean of 26 & 12 = (26 + 12)/2 = 19

• ### Intermediate Lesson

This lesson focuses on the use of mode in everyday problems. Data below shows some prices students paid for chocolates. \$2.50, \$3, \$2.20, \$4.50, \$3.20, \$4.10, \$5, \$3.30, \$2.50, \$4.40. What is the mode price for chocolate? \$2.5 appears maximum number of times (2 times), so mode price is \$2.5.

• ### Independent Practice 1

Students practice with 20 mean, median, and mode problems. The answers can be found below. Videos R Us keeps a record of how many movies are rented on each day of the week.

• ### Independent Practice 2

Another 20 mean, median, and mode problems. The answers can be found below.

• ### Homework Worksheet

Reviews all skills in the unit. A great take home sheet. Also provides a practice problem.

• ### Skill Quiz

10 problems that test mean, median, and mode skills. John consumes 1.5, 2.3, 2.2, 1.3, 1.4, 2.1 and 2 g of mint respectively in a week. How much sugar did he consume on an average in the week?

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.