Histograms and Box and Whisker Plots

​ANALYZING DATA WITH:

Dot Plots, Histograms, Box Plots, and Stem & Leaf Plots

By LORA LYONS

Dot Plots

• uses a number line and dots or (x)s to represent numerical data (sometimes called line plot)

• individual data points are represented​

Reading a Dot Plot graph...

• Identify the title

• Identify the scaled interval

• Label the value of the data

​Answer the questions in the slides to test your understanding of reading data from a dot plot graph...

Multiple Choice

What was the least number of goals scored?

• 1

• 0

• 12

• 2

Fill in the Blank

What number of goals was scored the most? Type the number only.

What is a Histogram?

• A Histogram is a graph that represents a large data set

• The data has a wide range (it is very spread out)

• There is not much repetition in the data

• The bars in a histogram are called bins.

• Each bin represents a range of data like 0-4, 5-9, 10-14 etc.

• No individual data points can be determined from a histogram

Histograms are NOT Bar Charts!

Histograms can only be used to represent QUANTITATIVE data. Bar charts are only good for representing QUALITATIVE data.

Multiple Select

Which of the following are examples of intervals? (Choose ALL that apply)

• 10

• 0-15

• 22

• 25-50

What is represented on the x-axis?

What is represented on the y-axis?

Multiple Choice

Which age group had the most students visit the zoo?

• 5-6

• 7-8

• 9-10

• 11-12

Multiple Choice

How many children between 7 and 10 years old visited the zoo?

• 63

• 44

• 107

• 19

Multiple Choice

How many more children from the 5-6 age group visited than the 9-10 age group?

• 71

• 115

• 27

• 44

Multiple Choice

Which interval has 5 flowers?

• 1-12

• 13-24

• 25-36

• 37-48

Multiple Choice

How many flowers are at least 37 inches tall?

• 3

• 11

• 2

• 8

Multiple Choice

Which interval represents the least number of flowers?

• 1-12

• 13-24

• 25-36

• 37-48

Five Number Summary of Data

Prep for Box-And-Whisker Plots

Multiple Choice

What do points A and E represent on the box plot?

• Mean and Mode

• Mean and Median

• Least and Greatest Value

• First and Third Quartiles

Multiple Choice

What do points B and D represent on the box plot?

• Mean and Mode

• Mean and Median

• Least and Greatest Value

• First and Third Quartiles

Multiple Choice

What does point C on the box plot represent?

• First Quartile

• Median

• Third Quartile

• Mean

Multiple Choice

What value is the lower quartile?

• 66

• 58

• 60

• 64

Multiple Choice

What is the median of the data?

• 200

• 100

• 90

• 140

Multiple Choice

What is the minimum value?

• 64

• 58

• 66

• 60

Multiple Choice

What is the maximum value?

• 64

• 58

• 66

• 60

Multiple Choice

The median is the _______________number (after you put them in order).

• first

• middle

• last

• one you see most

Multiple Choice

A data set can have more than one median?

• True

• False

Stem and Leaf Plot

• Used when data is spread out and there is not much repetition in the data

• The Leaf only shows the ones place

• The Stem can show the tens and hundreds place values

• Every data point can be seen on a Stem and Leaf Plot

Multiple Choice

How many scored 25 or less free throws?

• 2

• 7

• 5

Multiple Choice

During how many games did Nick’s team score BETWEEN 55 and 75 points?

• 3

• 15

• 10

• 13

Multiple Choice

How many students used their device for MORE THAN 20 minutes?

• 10

• 9

• 5

• 13

Multiple Choice

What is the highest ticket price?

• $35

• $12

• $49

• $40

Multiple Choice

During HOW MANY MORE games did Nick’s team score less than 68 points THAN they scored more than 68 points?

• 11

• 8

• 3

• 19