Mean, Median, Mode, and Range using Frequency Tables

Standard: 6-SP: Develop understanding of statistical variability. Understand that a set of data collected to answer a statistical question has a distribution that can be described by its center, spread, and overall shape.

Objective: Students will develop an understanding of statistical variability and calculate the mean, median, mode, and range from a frequency chart by problem solving when matching bar charts with statistical tablesand scoring 80% proficiency on an exit slip.

Essential Questions:

• What are statistics? What do people do with statistics?

• What forms of central tendency do we use for data analysis?

Mean, Median, Mode, and Range

Concept What is it? What are the steps?

Mean

Median The middle number of a set of data, arranged in numerical order

Mode The number that occurs the most in a data set.

Range The difference between the largest and the smallest number in the set.

The mean is the average of a data set

Mean, Median, Mode, and Range

Concept What is it? What are the steps?

Mean

Median The middle number of a set of data, arranged in

numerical order

Mode The number that occurs the most in a data set.

Range The difference between the largest and the smallest

number in the set.

The mean is the average of a data set

1.Find the sum of the data items2.Divide by the number of data items.

First, arrange the data in numerical order from least to greatest.

Sometimes a set of data will have more than one mode. Those are Bimodal

Take the largest number, and subtract the smallest number,

Computer Game: Rating

P-5

Imagine rating a popular computer game such as “FlappyBird.”

You can give the game a score of between 1 and 6 where 1= poor and 6 = great.

How would you rate the game?

• On your whiteboard, show me your score for the game. It must be a whole number!

• What are some efficient ways of recording the data? Why?

• Since each one of you has a score, how can we record the scores for the class on the board? Explain.

What about a frequency table?

In math, what does the word “frequency” mean?

• How often something happens

Bar Chart from a Frequency Table

Mean score

Median score

Mode score

Range of scores

Guided Practice

• Example: Sam played football on Saturday morning, Saturday afternoon and Thursday afternoon

What is the frequency of games played?Day Played Games Played FrequencySaturday

Thursday

l l 2

l 1

Frequency for the whole week is 3

• A group of students were asked how many movies they had seen in one week. The results are graphed on the table below. Find the mean, median, mode, of the data by using the frequency bar chart.

Mean: 2 +9 + 4 +1 +5 + 0 +6 7

Mean = 3.857

= 27 7

Median: 0, 1,2,4.5,6, 9

Median= 4

Mode: 9

Range: 9-0 = 9

Exit Slip Rubric• Complete the exit slip with 80% accuracy!

Criteria 480-100%

360-79%

240-59%

10-39%

Questions answered

All questions have been answered with complete sentences and supported with evidence.

All questions are answered with some complete sentences and partial supported with evidence.

Part of each question is answered with partial sentences and supported with little evidence.

Only one of the questions have been answered with unclear sentences and little or no supported evidence.

Accuracy Answers and calculations are correct and have clear sentences.

Most Answers and calculations are correct

Half of the answers and calculations are correct.

None of the answers are relevant and incorrect calculations.

Instructions:1. Take turns to match a bar chart with a statistics table. Place the cards side by

side on your desk, rather than on top of one another, so that both partners can see them.

2. Each time you match a pair of cards explain your thinking clearly and carefully. You may want to use your mini-whiteboards on the ipad for any calculations and/or when explaining to each other what you have done.

3. Partners should either agree with the explanation, or challenge it if it is unclear or incomplete, by saying “I agree with…” or “I disagree with…”

4. Once you both agree, stick the cards onto the poster paper and write any relevant calculations and explanations next to the cards.

5. You will notice that some of the statistics tables have blank spaces in them and one of the bar charts cards is blank. Try to work out what these blanks should be and complete the cards before finalizing your matches.

P-12