A real estate company wants to analyze housing prices in a specific neighborhood. They collect the prices of 7 recently sold houses: $250,000, $275,000, $300,000, $320,000, $310,000, $280,000, and $950,000. Calculate the mean and median housing price. Which measure, mean or median, better represents the typical housing price in this neighborhood? Explain your reasoning.

Mean = $426,428.57, Median = $300,000. The median is a better representation because the mean is skewed by the outlier ($950,000).

A teacher records the scores of 10 students on a recent quiz: 65, 70, 75, 75, 80, 80, 80, 85, 90, 95. Determine the mean, median, and mode of this data set. Explain which of these measures the teacher should use to argue that the students did well on the quiz.

Mean = 79.5, Median = 80, Mode = 80. The teacher could use either the median or the mode to argue that the students did well, as both are 80, which is a reasonably high score.

A data set consists of the following values: 12, 15, 18, 21, 24, 15, 12, 27. Calculate the mean, median, mode, and range of this data set. Then, create a new data set by adding 5 to each value in the original data set. How does adding 5 to each value affect the mean, median, mode, and range? Explain why this happens.

Original: Mean = 18, Median = 16.5, Mode = 12 & 15, Range = 15. New: Mean = 23, Median = 21.5, Mode = 17 & 20, Range = 15. Adding a constant to each value increases the mean, median, and mode by that constant, but the range remains unchanged because the spread of the data stays the same.

Calculating Mean, Median, Mode, and Range

Grade 9th Grade · Math · 30 min

What's Included

Learning Objective

I can calculate the mean, median, mode, and range of a data set.

Warm-Up Video

mathantics · 11:04

Math Antics - Mean, Median and Mode

Guided Notes

3 key concepts

1
The mean of a data set is the same as the average, and it is found by adding all the values together and dividing by the number of values.
2
The median is the middle value in a data set, but you must first put the data set in numerical order. For data sets with an even number of values, find the mean of the middle two numbers to get the median.
3
The mode is the value that appears most frequently in a data set; a data set can have one mode, multiple modes, or no mode at all.

Practice Questions

3 questions · Short answer

Exit Ticket

Quick comprehension check

“Calculate the mean, median, mode, and range of the following data set: 2, 5, 8, 10, 10.”

Complete Lesson Package

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Related Lessons

Calculating Mean, Median, Mode, and Range

What's Included

Learning Objective

Warm-Up Video

Guided Notes

Practice Questions

Exit Ticket

Complete Lesson Package

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