Exploring Histograms in Unit 10, Lesson 4

This video tutorial covers the concept of histograms, explaining how they display data in intervals or ranges. It compares histograms to bar graphs and dot plots, emphasizing their use in representing data shape and spread. The tutorial includes examples using ACT exam scores, library patron ages, and runners' weekly distances to demonstrate how to analyze data using histograms. Key concepts such as frequency, score ranges, and percentages are discussed, providing a comprehensive understanding of how to interpret and create histograms.

What do histograms represent in their bars?

• Data in intervals or ranges

• Percentage of total data

• Individual data points

• Cumulative data over time

Which statement is true about histograms?

• They can represent data in intervals.

• They are used only for time series data.

• Bars do not touch each other.

• Bars represent individual data points.

What is the primary difference between bar graphs and histograms?

• Bar graphs represent categories, histograms represent intervals.

• Histograms have bars that do not touch.

• Histograms cannot show changes over time.

• Bar graphs can only show positive values.

How is the total number of scores in the ACT exam data set determined?

• By adding the frequency of all bars

• By multiplying the number of bars by the average frequency

• By finding the tallest bar

• By counting the bars

Which score range had 17 scores in the ACT exam histogram?

• 16 to 20

• 11 to 15

• 1 to 5

• 6 to 10

What percentage of scores fell into the 21 to 25 range in the ACT exam histogram?

• 17%

• 28%

• 34%

• 62%

How many library patrons were surveyed in the local library histogram?

• 23

• 40

• 50

• 100

Which two age ranges together account for exactly 40% of the library patrons?

• 40 to 49 and 50 to 59

• None of the above

• 20 to 29 and 30 to 39

• 10 to 19 and 60 to 69

In the runners' weekly distances histogram, how many runners ran between 3 and 4.9 miles?

• 28

• 12

• 20

• 32

How many runners ran less than 4 miles each week according to the histogram?

• 15

• 20

• 28

• 30