Understanding Averages: Mean, Median, Mode, Range & Frequency Distribution for 15-Year-Olds

Free worksheet covering multiple subjects for age 15 students. Created with Learning Corner's AI-powered tools.

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Instructions

In this worksheet, you will practice finding the mean, median, mode, range, and frequency distribution of two different sets of data. Follow the steps below and fill in the answers in the provided spaces.

Data Set 1

1. 12, 15, 12, 19, 22, 15, 15, 21, 18

Data Set 2

2. 8, 12, 15, 10, 14, 16, 15, 20, 18, 10

Part A: Calculate the Mean

Calculate the mean (average) of both data sets:

Mean of Data Set 1:

Mean of Data Set 2:

Part B: Calculate the Median

Calculate the median of both data sets:

Median of Data Set 1:

Median of Data Set 2:

Part C: Calculate the Mode

Identify the mode of both data sets:

Mode of Data Set 1:

Mode of Data Set 2:

Part D: Calculate the Range

Calculate the range of both data sets:

Range of Data Set 1:

Range of Data Set 2:

Part E: Frequency Distribution

Create a frequency distribution table for both data sets. List the values and their frequencies below:

Frequency Distribution for Data Set 1
Value:      12  15  18  19  21  22
Frequency:  ____ ____ ____ ____ ____ ____
Frequency Distribution for Data Set 2
Value:      8   10  12  14  15  16  18  20
Frequency:  ____ ____ ____ ____ ____ ____ ____

Part F: Compare the Data Sets

Based on your calculations, how do the two data sets compare? Write a few sentences comparing the means, medians, modes, ranges, and overall patterns you observe:

Reflection

What did you find most interesting about working with these data sets? List one insight you've gained:

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