Course 1 Unit 12

Statistical Displays

Name: ___________________

~ 1 ~

Lesson 12-1: Line Plotsline plot – ____________________________________________________________________________________________________________________________________

dot plot – _____________________________________________________________

Example 1Jasmine asked her class how many pets they had. The results are shown in the table. Make a line plot of the data. Then describe the data presented in the graph.Step 1: Draw a number line. Include a title.

Step 2: Place as many Xs above each number as there are responses.

Step 3: Describe the data. ______ studentsresponded to the question. No one has more than ______ pets. Four students have no pets. The mode is ______ pets.

Got it? 1. Javier asked the members of her 4-H club how many projects they were taking. The results are shown in the table. Make a line plot of the data. Then describe the data in the graph.

~ 2 ~

Example 2Find the median and the mode of the data. Then describe the data

using them. There are ______ hat prices.The median is $_______. This means that half of the hats cheaper than that, but half are more expensive.

The mode is ______, so most of the hats cost $_________.

Example 3Find the range and any outliers of the data. Then describe the data

using them.Range:

$_______ - $_______ = $________

$________

Looking at the line plot, you can see that ________ is an outlier.

Got it? 2. The line plot shows the number of magazines each member of the student council sold. Find the median, mode, range, and any outliers of the data. Then describe the data using them.

~ 3 ~

Example 4The line plot shows the amount Connor deposited in his savings account each month. Describe the data. Include measures of center.

The mean is $________. The median is $________. The mode is $_______. So the majority of the data is close to the measures of center.The range of the data is $______. The outlier is $_______.

Got it? 3. The line plot shows the prices of sweaters in a store. Describe the data. Include measures of center.

Guided Practice:1. Make a line plot for the set of data. Describe the data. Include the measures of center and variability.

~ 4 ~

Lesson 12-2 Histogramshistogram – ___________________________________________________________________________________________________________________________________

frequency distribution – ________________________________________________________________________________________________________________________

Example of a Histogram

Example 1Refer to the histogram. Describe the histogram. How many remote control airplanes cost at least $100?

~ 5 ~

Description:There are ________ total prices recorded.

Most airplanes had prices between $______ and $_________. There were no prices between $_______ and $__________.Total over $_________ dollars:

______ + _______ = _______ airplanes.

Got it? 1. Refer to the histogram. How many airplanes cost less than $75?

Example 2The table show the number of daily visitors to selected state parks. Draw a histogram to represent the data.

Step 1: Make a frequency table to organize the data. Use a scale from 100-399 with an interval of 50.

~ 6 ~

Step 2: Draw and label a horizontal and vertical axis. Include a title. Show the intervals from the frequency table on the horizontal axis. Label the vertical axis to show the frequencies.

Step 3: For each interval, draw a bar whose height is given by the frequencies.

Got it? 2. The list shows a set of test scores. Choose intervals, make a frequency table, and construct a histogram to represent the data.

Guided Practice:

~ 7 ~

1. The frequency table shows the number of books read on vacation by the students in class. a. Draw a histogram.b. Describe the data.

c. How many students read six or more books? ______Lesson 12-3: Box Plots

box plot – _____________________________________________________________________________________________________________________________________

Example of a Box Plot

How to Make a Box PlotStep 1: Order the data from least to greatest. Then draw a number

line that covers the range of the data.

Step 2: Find the median, the extremes (lowest and highest #), Q1, and Q3. Mark these points above the number line.

Step 3: Draw the box so that it includes the quartile values. Draw a line for the median. Extend the whiskers from each quartile to the extremes. Include a title.

~ 8 ~

Box plots separate data into four parts. Each part shows 25% of the data.

Example 1Draw a box plot of the car speed data.

25, 35, 27, 22, 34, 40, 20, 19, 23, 25, 30

Got it? 1. Draw a box plot of the data set below.

$20, $25, $22, $30, $15, $18, $20, $17, $30, $27, $15

~ 9 ~

Example 2Half of the drivers were driving faster than what speed?

_______ miles per hour (the ______________)

Example 3What does the box plot’s length tell about the data?

The length of the left half is short and the right half is long. This means that the speeds of the slowest half of the cars are all bunched up. The

other half is spread out.

Got it? 2. What percent were driving faster than 34 miles per hour?

Example 4The box plot below shows the daily attendance at a fitness club. Find the median and the measures of variability (Q1, Q3, IQR, range, outliers). Then describe the data.

~ 10 ~

The median is 72.5. Q1 is 65 and Q3 is 80. The IQR is 15. The range is 54. The outlier is 110. Without the outlier, the data is spread evenly.

Got it? 3. The number of games won in the American Football Conference in a recent year is displayed below. Find the median and the measures of variability. Then describe the data.

Guided Practice:1. Use the table.a. Make a box plot of the data.

b. What percent of the earthquakes were between 4 and 9 kilometers deep? ____________

c. Write a sentence describing the data.

2. Find the median and measures of variability of the box plot.

~ 11 ~

Lesson 11-4: Shape of Data Distributions distribution – ___________________________________________________________________________________________________________________________________

symmetric – ___________________________________________________________________________________________________________________________________

cluster – _______________________________________________________________________________________________________________________________________

gaps – _________________________________________________________________

peak – ________________________________________________________________

Example 1Describe the shape of the distribution. The line plot shows the temperature in degrees Fahrenheit in a city over several days.

The shape of the distribution is not symmetric. There is a gap from 19-21. There are clusters from 16-18 and 22-25. The peak is at 22.

~ 12 ~

There are no outliers.

Example 2Describe the shape of the distribution. The box plot shows the number of visitors to a gift shop in one month.

(You cannot identify gaps, peaks, or clusters.)

Each box and whisker has the same length, so the data is spread evenly. The distribution is symmetric. There are no outliers.

Got it? 1. Describe the shape of the distribution at the right. Use clusters, gaps, peaks, outliers, and symmetry. Underline each word in your answer.

~ 13 ~

Example 3Choose the appropriate measures to describe the center and spread of the distribution. Justify your response based on the shape of the distribution.

The data is not symmetric and there is an outlier. The median and IQR are the appropriate measures.

Got it?2. Choose the appropriate measure of center and spread of the distribution. Justify your response based on the shape of the distribution.

~ 14 ~

Guided Practice:1. The histogram shows the wait times in minutes for entering a concert. Describe the shape of the distribution.

2. The line plot shows the weights in pounds of several dogs. Describe the shape of the distribution.

Lesson 12-5 Interpret Line Graphsline graph – ___________________________________________________________________________________________________________________________________

Steps to Draw a Line GraphStep 1: Decide on the intervals for the axes.

Step 2: Draw and label the y and x-axes.

Step 3: Plot and connect the points for each label.

~ 15 ~

Step 4: Give your graph a title.

Example 1Make a line graph of the data of Earth’s population from 1750 to 2000.

Step 1: The data goes from 790 million to 6,080 million. So, a scale from 0 to 10,000 million and an interval of 1,000 is are reasonable.

Step 2: Let the horizontal axis represent the year. Let the vertical axis represent the population. Label the x and y axes.

Step 3: Plot and connect the points for each year.

Step 4: Label the graph with a title. Describe: Earth’s population has increased dramatically from 1750 to 2000.

Got it? 1. Make a line graph of the data. Describe the change in number of building permits filed from 2005 to 2010.

Example 2The line graph below shows the cost of tuition at a college during several years. Describe the trend. Then predict how much tuition will cost in 2020.

~ 16 ~

Notice that the increase from 2002 to 2012 is fairly steady. By extending the graph, you can predict that tuition in 2020 will cost a student about $11,500.

Got it? 2. The line graph shows the growth of a plant over several weeks. Describe the trend. Then predict how tall the plant will be at 7 weeks.

Example 3What does the graph tell you about the popularity of skateboarding?

The graph shows that skateboard sales have been increasing each year. You can assume that the popularity of the sport is increasing.

Guided Practice:1. Make a line graph of the data.

~ 17 ~

2. Describe the change in the world’s remaining rainforests from 1940 to 2010.

3. Describe the trend in the remaining tropical rainforests.

4. Predict how many millions of acres there will be left 2020.

5. What does the graph tell you about future changes in the remaining rainforests?

Lesson 12-6: Select an Appropriate DisplayType of Display

Best Used to…

Bar Graph

Box Plot

Histogram

Line Graph

~ 18 ~

Line Plot

Example 1Which display allows you to tell the mode of the data?

The line plot shows each night’s data. The number of orders that occurs most frequently is 27. The box plot shows the spread of the data, but does not show individual data so it does not show the mode.

Answer: __________________

Got it? 1. Which of the displays allows you to easily find the median of the data?

Example 2A survey compared different brands of hair shampoo. The table shows the number of first choice responses for each brand. Select an appropriate type of display to compare the number of responses. Justify your choice.

These data show the number of responses for each brand. A bar graph would be the best display to compare the responses.Example 3Make the appropriate display of data from Example 2.Step 1: Draw and label horizontal and vertical axes. Add a title.

Step 2: Draw a bar to represent the number of responses for each brand.

Got it?

~ 19 ~

2) Select an appropriate type of display to allow you to count the number of students with a score of 85. Explain your choice.

3) Make the appropriate display of the data.

Guided Practice:1. Which display makes is easier to determine the greatest number of calendars sold? Explain your reasoning.

~ 20 ~

Select an appropriate type of display for data gathered about each situation. 2. the favorite cafeteria lunch item of the sixth-grade students

3. the temperature from 6am to 12 pm

4. Select and make an appropriate display for the following data.

~ 21 ~