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Unit eleven Lesson 4

Welcome to Statistics!

6.SP.B.4

Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

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Vocabulary

Variability: The tendency of data to have ______________________ values.

Distribution: A representation that shows the variability of data in _____________.

Range: The interval between the _____________ and _______________ numbers.

Frequency: The _____________ or ____________ of data points that have a specific value.

Dot Plot: A diagram that shows the frequencies of data points over multiple ____________ on a number line.

Histogram: A diagram that shows the frequencies of data points over multiple ____________ on a number line.

multiple possible

detail

smallest

largest

number

percent

values

intervals

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Task #1 - Creating a dot plot

Fifteen customers in a pizza shop were asked, “How many toppings did you add to your cheese pizza?” Their responses are shown in the table.

Number of toppings

Customer

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

number of toppings

Create a dot plot

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Task #1- Answer

number of toppings

Create a dot plot

number of toppings

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This dot plot shows the ages of students in a swimming class. How many students are in the class?

Based on the dot plot, do you agree with each of the following statements? Explain your reasoning.

The class is an adult swimming class.
Half of the students are between 2 and 3 years old.

Task #2 - Answering Questions from Data

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A group of students was asked, “How many children are in your family?” The responses are displayed in the dot plot.

How many students responded to the questions?

What percentage of the students have more than one child in the family?

Write a sentence that describes the distribution of the data shown on the dot plot.

Task #3 - Answering Questions from Data

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Answers:

There are 20 dots and each corresponds to one student in the group.
75%. 15 out of 20 students answered that there are 2 or more children in the family.
Answers vary. Sample response: A typical number of children for this group of families is around 2, but some families had many more children than others. There are no students with more than 5 children in the family.

Task #3 - Answers

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An earthworm farmer set up several containers of a certain species of earthworms so that he could learn about their lengths. The lengths of the earthworms provide information about their ages. The farmer measured the lengths of 25 earthworms in one of the containers. Each length was measured in millimeters.

Task #4- Earth Worms

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Task #4 - EarthWorms

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Task #4 - EarthWorms

Use the grid and the information in the table to draw a histogram for the worm length data. Be sure to label the axes of your histogram.

What do you notice about the spread or distribution of the data??

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#breakfromnotetaking

The dot plot below shows the vertical jump of some NBA players. A vertical jump is how high a player can jump from a standstill.

What was the highest vertical jump by a player?

What was the lowest vertical jump by a player?

What is the most common vertical jump?

How many players jumped higher than 40 inches?

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Now we will explore histograms, another way to represent numerical data.

Students will have 3–4 minutes of quiet work time, and then 2–3 minutes to share their responses with a partner.

Task #5 - Histograms

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Here is a histogram that shows some dog weights in pounds. Each bar includes the left-end value but not the right-end value. For example, the first bar includes dogs that weigh 60 pounds and 68 pounds but not 80 pounds.

Use the histogram to answer the following questions.

How many dogs weigh at least 100 pounds?
How many dogs weigh exactly 70 pounds?
How many dogs weigh at least 120 and less than 160 pounds?
How much does the heaviest dog at the show weigh?`

Task #5 - Histograms

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The Two histograms show the points scored per game by a college basketball player in 2008 and 2016.

How many points did the player score in 2008 compared to 2016?

Task #6 - Comparing Histograms

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Now that we went over the basics…

Let’s step it up!!!

Work on the Independent Practice Section

Please use your notes & Resources to help solve today’s Worksheet

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A teacher drew a line segment that was 20 inches long on the blackboard. She asked each of her students to estimate the length of the segment and used their estimates to draw this dot plot.

How many students were in the class?

Practice Problems

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Answer = 18

Practice Problems- answer

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This dot plot shows the number of items individual customers bought at a convenience store one day.

What is the total number of customers who bought more than 4 items?

Independent Work

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2) The line plot shows the number of books each student in Mary’s class read over the summer.

How many students read at most 2 books?

a. 1 b. 2 c. 6 d. 8

Independent Work

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The line plot below shows how students scored on last week’s vocabulary test.

How many students scored an 80 or lower? _____________

How many students scored 95 or higher on the test?

5 students
7 students
12 students
16 students

Independent Work

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Mr. Nunez drives a bus. The line plot below shows the number of passengers that were on his bus for each of the last 10 trips he made.

How many trips had 6 or more passengers on the bus? _______________

For what fraction of the trips did Mr. Nunez have

fewer than 4 passengers on the bus?

3/10
4/10
6/10
7/10

Independent Work

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Practice Problems

Mr. Bern asked the sixth-grade students in his school to choose their favorite winter sport. His data are shown in the bar graph below.

According to the data in the graph, which statement is true?

Approximately 35 students chose skiing.
All of the sports were chosen by more than 20 students
The number of students who chose snowboarding approximately twice as many as the number who chose skating
The total number of students who chose skating and skiing is equal to the number of students who chose sledding.

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Practice Problems

The following histogram shows ages of the actresses whose performances have won in the Best Leading Actress category at the annual Academy Awards (Oscars).		Which age interval contains the most actresses? How many actresses are represented in that interval? What is the age range of actresses who have won this award? � Which interval describes the center of the ages of the actresses? An age of 72 would be included in which interval?

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Practice Problems

	How many people who are 30 or older went to the reunion? ____________ How many people who are under the age of 20 went to the reunion?__________

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Practice Problems

Tom went to his family reunion. The histogram shows the ages of Tom’s family members who were at the family reunion.

Which cannot be determined from these data?

Number of family members at the reunion
Age of the oldest family member at the reunion
Number of family member older than 39 at the reunion
Number of family members younger than 20 at the reunion.

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Practice Problems

A swim instructor had a contest to see how many seconds her students could hold their breath underwater. The results from the contest are shown in the list below.

17 34 40 41 50 50 53 56 57 58 64 70

Which histogram represents the results from the contest?