# Lesson: Mode

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### Lesson Objective

SWBAT identify the mode of a data set

### Lesson Plan

Standard

6DASP.1 – Describe and compare data sets using the concepts of median, mean, mode , maximum, and range.

Aim/Objective:

Key Points

SWBAT find the mode of a data set

(SWBAT review creating a line plot)

·         The mode is the number that occurs most often in a  data set

·         There is not always a mode in a data set – and some data sets have more than one mode

·         The mode is only one way to describe a data set – however it usually is not the most descriptive statistic for describing a data set as a whole

Assessment:

Marcus loved to watch the Olympics! The number of minutes he watched the Olympics each day is in the chart below:

 Day Time (Minutes) Sunday 55 Monday 20 Tuesday 25 Wednesday 45 Thursday 50 Friday 20 Saturday 30

What is the mode of this data set?

A.       55

B.       20

C.       35

D.       45

Ms. Anderson is training for a marathon.  Below is a chart of her last 8 runs.

 X X X X X X X X X 0 1 2 3 4 5 6 7 8 9

Distance (in kilometers)

What is the mode?

Look at the data set below.

11, 14, 18, 21, 21

Which of these data sets has the same mode as the given set?

A.       14, 16, 17, 18, 20

B.       11, 13, 19, 20, 21

C.       13, 16, 18, 20, 25

D.       13, 16, 20, 21, 21

Warm Up: (5 mins)

·         Write your name on a post and place it on the line plot on the board to show how many letters are in your first name

On the board:

________________________

3  4  5  6  7  8  9  10  11 12  13

·         Find the mean of the following data set:   45, 53, 30, 40

Materials:

·         Post it Notes

Opening: (5 mins)

·         Discuss the results of the line plot on the board

·         What is the most common number of letters in our classes’ names?

·         What is the least common?

·         How many people have fewer than 5 letters in their name?

·         How many students have more than 7 letters in their name?

Intro/Direct Instruction: (10 mins)

·         Yesterday we learned that one way to describe a data set is to calculate the mean.  The mean tells us the average of the numbers and we find it by adding and dividing the sum.

·         Today we are going to learn about another way to describe a data set called the mode.

·         The mode is the most common number in a data set/

·         One way to find the mode is to use a number line. When you look at a number line it is easy to see the mode because it is the number with the highest bar

·         Ask students what the mode is to our graph on the board?

·         Share chant with students – review yesterday (mean), add new verse today (mode)

·         Tell students – sometimes a data set will not have mode – this will mean that no number comes up the most

·         Also, some data sets are bi-modal or tri-modal because they have 2 or 3 numbers that come up the most often.  In this case we will write down all of the modes.

·         Model for students finding the mode of a data set – one making a line plot – one without making a line plot

Guided Practice: (10mins)

·         Students will work through guided practice problems on notes sheet

·         Problem number one is straight forward

·         Problem two – has no mode

·         Problem three – has two modes

·         Problem four – straight forward

Independent Practice: (15 mins)

·         Students complete worksheet – teacher circulates to monitor understanding/practice

Closing: (8 mins)

·         Review the chant

·         Ask students for the steps of finding the mode

·         Give students exit ticket

·         Journal:  Suppose your test scores are 100, 95, 95, 90 and 50.  Would you prefer the mean or the mode score on your report card?  Explain.

### Lesson Resources

 CW Finding Mode   Classwork 580 HW Finding Mode   Homework 437 CW Finding Mode modified   Classwork 407 HW Finding Mode modified   Homework 383 Notes Find Mode   Notes 513