Previous Knowledge On Charts

Multiple Choice

• 25

• 30

• 45

• 50

Multiple Choice

What is the value of the upper quartile?

• 68

• 76

• 84

• 94

Multiple Choice

What is the median score?

• 62

• 71

• 92

• 81

Multiple Choice

• 40

• 45

• 60

• 100

Multiple Choice

What do the scores 65, 85 and 100 represent?

Multiple Choice

• The median is 7.

• The range is 12.

• The first quartile is 4.

• The third quartile is 11.

Multiple Choice

Which statistic can NOT be determined from a box plot representing the scores on a math test in Ms Fitz's algebra class?

• the lowest score

• the median score

• the highest score

• the score that occurs most frequently

Multiple Choice

Which conclusion can be made using this plot?

• The second quartile is 600.

• The mean of the attendance is 400.

• The range of the attendance is 300 to 600.

• Twenty-five percent of the attendance is between 300 and 400

Multiple Choice

What percent of the test scores are less than 72?

• 25

• 50

• 75

• 100

Multiple Choice

The accompanying diagram is an example of which type of graph?

• bar graph

• stem-and-leaf plot

• histogram

• box-and-whisker plot

Multiple Choice

Multiple Choice

Which box-and-whisker plot represents these data?

Multiple Choice

What is the interquartile range of the data?

• 45

• 20

• 30

• 25

Multiple Choice

What is the minimum of the data?

• 1

• 6

• 10

• 0

Multiple Choice

What is the maximum of the data?

• 0

• 6

• 10

• 12

Histogram & Stem & Leaf Review

Let's review these types of graphs to see if we are ready for the test!

Multiple Choice

How many people watched more than 6 hours of TV?

• 10

• 20

• 5

• 17

Multiple Choice

Which interval has 400 employees?

• 33-43

• 0-10

• 77-87

• 66-76

Multiple Choice

How many students are between 48 and 51 inches tall?

• 14

• 2

• 8

• 0

Fill in the Blank

How many people were at the bowling alley?

Fill in the Blank

How many students are there in all?

Multiple Choice

Mr. Semo is making a histogram to show the scores on the last science test. He first lists the scores in a stem-and-leaf plot. How many units tall should the bar be for the interval 70-79?

• 2

• 9

• 5

• 11

Multiple Choice

The following data shows prices of meal options at Bob’s Burgers.

Prices of Meal Options at Bob’s Burgers

$6 $7 $7 $8 $9 $14 $14 $14 $15 $15 $15 $15 $16 $16 $17

Which histogram correctly displays the information above?

Multiple Choice

The amount of items that each student sold for the class fundraiser was recorded.Which stem-and-leaf plot represents the same data represented in the histogram?

Multiple Choice

Which of the following dot plots can be used to create the histogram?

Multiple Choice

Which circle graph best represents the same set of data as the bar graph?

Multiple Choice

The line plot shows the number of points David scored in 30 games. Which histogram represents the same set of data?

Multiple Choice

Which interval has the greatest number of employees?

• 11-21

• 33-43

• 77-87

• 44-54

Multiple Choice

How many students scored between a 86 and a 90?

• 1

• 6

• 3

• 10

Multiple Choice

Which interval has the greatest number of students?

• 48-51

• 56-59

• 60-63

• 64-67

Multiple Choice

How many people watched between 6 and 10 hours of TV last week?

• 31

• 22

• 15

• 35

Multiple Choice

Which histogram represents this stem-and-leaf table?

Multiple Choice

What is the difference between the number of cities in the 90 - 99 interval and the 60 - 69 interval?

• 10

• 14

• 6

• 9

Multiple Choice

• 30%

• 21%

• 5%

• 70%

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

6.3 - Histograms

Unit 6 - Statistics

Math I Honors

Mr. Coleman

Learning Objectives

• Distinguish between histograms and bar charts 

• Interpret histograms and determine information from them

• Assess histograms for shape, center, and spread

• Develop a histogram using technology 

Histograms are NOT Bar Charts!

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

Interpreting Histograms

• ALWAYS look at the labels first!

• Frequencies

• "Bin" widths

• Frequency Density: multiply by bin width

Multiple Choice

• 63

• 56

• 53

• 43

Shape of Histograms

Skew is easy to see in a histogram!

Multiple Choice

How would you describe this distribution?

• Left skewed

• Uniform

• Right Skewed

• Symmetrical

Multiple Choice

Describe the histogram:

• Left Skewed

• Normal/Symmetrical

• Right Skewed

• Uniform/Flat

Center of Histograms

• Look for peak in your histogram!

• Symmetric: peak corresponds to median AND mean

• Skew: peak corresponds to median, less to mean

Multiple Choice

Which circle graph best represents the same set of data as the bar graph?

Multiple Choice

Which statement is true about the center of distribution?

• The center is best described using the mean, because the distribution is skewed.

• The center is best described using the median, because the distribution is skewed.

• The center is best described by the mean and median, because the distribution is symmetric.

• The center is best described by the outlier, because the distribution is symmetric.

Spread of Histograms

• Range = max - min

• Standard Deviation - COMPLEX formula, but technology can calculate it for us!

• The higher the SD, the greater the spread

Multiple Choice

What is the range of ages shown in this histogram?

• 10 years

• 30 years

• 20 years

• none of the above

Creating Histograms in Desmos

I will now demonstrate how to make histograms in Desmos. Afterward, we'll make a histogram from one of our class data sets and use it to answer questions.

Multiple Choice

Based on our class data histogram, what appears to be the approximate median hours of screen time?

• 0-2 hours

• 4-6 hours

• 6-8 hours

• 16-18 hours

Multiple Choice

Which best describes the shape of this histogram?

• Left skewed

• Symmetric

• Right Skewed

Multiple Choice

If Raul measured another tree in the orchard, which is most likely the height of the tree?

• 12 feet
• 21 feet
• 3 feet
• 19 feet

Multiple Choice

What is the difference between the number of cities in the 90 - 99 interval and the 60 - 69 interval?

• 10

• 14

• 6

• 9

Multiple Choice

How many students have more than 1,000 songs on their MP3 player?

• 5
• 16
• 10
• 4

Multiple Choice

Which interval has 400 employees?

• 33-43

• 0-10

• 77-87

• 66-76

Calculating Cumulative Frequency

Lesson Objectives;

• ​explain the meaning of cumulative frequency

• ​calculate cumulative frequency from a frequency table

• ​draw a cumulative frequency curve from a cumulative frequency table.

​Meaning and how to calculate cumulative frequency

​Watch the video on the next slide, make some notes and respond to the proceeding quiz.

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Multiple Choice

How many scores were 26 or below?

• 10

• 20

• 5

• 25

Multiple Choice

What is the first number in the cumulative frequency column?

• 12

• 30

• 8

• 20

Multiple Choice

What is the missing number in the cumulative frequency column?

• 19

• 9

• 15

• 22

Multiple Choice

What is the missing number?

• 4

• 5

• 20

• 36

Multiple Choice

Find the cumulative frequencies.

• 28, 56, 84, 100

• 28, 58, 70, 72, 74, 76

• 33%, 37%, 20%, 7%, 7%, 7%

• 28, 30, 12, 2, 2, 2

Multiple Choice

A clumsy teacher spilled coffee over this table of his students' test results. How many students scored below 17?

• 4

• 23

• 18

• 19

​Drawing a cumulative frequency Curve

​Watch the video on the next slide, make some notes and respond to the proceeding quiz.

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Multiple Choice

Which of these could be a cumulative frequency graph?

Multiple Choice

How many students scored 40% or below on the test?

• 21

• 22

• 20

• 15

Multiple Choice

The graph shows the masses of some pumpkins grown on an allotment. How many pumpkins were grown altogether?

• 30

• 27

• 28

Multiple Choice

Find the number of passengers who waited for the bus for 15 min or less.

• 6

• 10

• 20

• 24

Multiple Choice

Find the number of patients who waited for more than 80 min for a doctor.

• 12

• 16

• 62

• 64

Multiple Choice

What percent of the college students surveyed have less than $5000 in debt?

• 25%

• 50%

• 70%

• 100%

Multiple Choice

When drawing a cumulative frequency graph, we should join the points with...

• ... a curve

• ... straight lines

Multiple Choice

Cumulative frequency always goes on the...

• y axis

• x axis

Multiple Choice

"Cumulative frequency" means...

• Jogging sum

• Walking difference

• Running total of the frequency

• Sprinting maximum

Multiple Choice

32 people went to a ice hockey match. The pie chart shows the colours of their shirts. How many people wore black?

• 45

• $$\frac{1}{8}$$

• 1

• 4

Multiple Choice

A darts player hits his target 40% of the time. Which pie chart represents his hits and misses?

Multiple Choice

This pie chart shows the colour of hats that Tim owns. What fraction of Tim's hats are blue?

• $$\frac{1}{4}$$

• 25

• $$\frac{1}{3}$$

• 75

Multiple Choice

The pie chart shows colours of motorbikes in a shop. There are 20 more blue bikes than white. How many bikes are there altogether?

• 54

• 160

• 40

• 80

Multiple Choice

Which calculation is correct to find the number of degrees representing comedy in a pie chart showing the following info?

• 
  

  $$360\div9$$
  

• $$360\div13\times9$$

• $$360\div9+4+7\times4$$

• $$\frac{9}{9+7+4}\times360$$

Multiple Choice

A diver wants to make a pie chart of his trip. Which one of these is a correct method for finding F?

• $$360-180+45$$  

• $$\frac{12}{20}\times360$$  

• $$360-180-45$$  

• $$\frac{360}{32}$$  

Multiple Choice

90 yellow sheep are tested for a disease. How many sheep have the disease?

• 140

• 30

• 70

• 35

Multiple Choice

These pie charts show how people travel to work in 2 towns. In which town do more people travel to work by bike?

• town A

• town B

• both the same

• impossible to say

Multiple Choice

What angle would you use to represent 40 red cars out of 90 cars in total on a pie chart?

• 40 degrees

• 160 degrees

• 4 degrees

• 90 degrees

Multiple Choice

The pie chart shows the colours of 32 beads. How many green beads are there?

• 90

• 8

• 11

• 9

Multiple Choice

The under 13's played 28 matches.

The under 15's played 18 matches.

Which team won more matches?

• Under 13's

• Under 15's

Multiple Choice

Which pie chart represents the same data as the table?

Multiple Choice

Another way of saying 50%

• Half
• a quarter
• 3 quarters
• Just under

Multiple Choice

All 25 students in our class were surveyed about what their favorite food is.  11 students chose pizza. What percentage of the class chose pizza?

• 20%
• 44%
• 15%
• 60%

Multiple Choice

Students were surveyed about their favorite sports to play in phys.ed. The results are represented in this circle graph. If 48 students were surveyed, how many chose soccer?

• 10
• 12
• 15
• 14

Multiple Choice

What percent of people chose gummy bears as their favorite candy? 

• 25%
• 15%
• 30%
• None of these

Multiple Choice

If there are 300 seventh graders, how many students prefer choir?

• 96

• 24

• 75

• 42

Multiple Choice

The team scored 50 points. How many points did Kendrick score?

• 12 points
• 20 points
• 10 points
• 72 points

Multiple Choice

There are 200 peaches. How many oranges are there?

• 230

• 260

• 130

• 360