Statistics: Frequency Tables and Histograms Worksheet

Question 1

The number of books read by 12 students last month was: 2, 4, 1, 3, 2, 5, 4, 2, 0, 3, 1, 2. Make a frequency table for the number of books read.

Accepted Answer

The frequency table is: 0 books: 1 student, 1 book: 2 students, 2 books: 4 students, 3 books: 2 students, 4 books: 2 students, and 5 books: 1 student.

Question 2

Use this frequency table for quiz scores: 6 points: 2 students, 7 points: 5 students, 8 points: 6 students, 9 points: 4 students, 10 points: 3 students. How many students took the quiz?

Accepted Answer

A total of 20 students took the quiz because 2 + 5 + 6 + 4 + 3 = 20.

Question 3

A histogram shows the following frequencies for minutes spent reading: 0-9 minutes: 3 students, 10-19 minutes: 7 students, 20-29 minutes: 5 students, 30-39 minutes: 4 students. Which interval has the greatest frequency?

Accepted Answer

The interval 10-19 minutes has the greatest frequency because it has 7 students, which is more than the other intervals.

Question 4

The heights of plants in centimeters are: 12, 15, 18, 21, 24, 26, 29, 31, 34, 36, 39, 40. Create a grouped frequency table using intervals 10-19, 20-29, 30-39, and 40-49.

Accepted Answer

The grouped frequency table is: 10-19: 3 plants, 20-29: 4 plants, 30-39: 4 plants, and 40-49: 1 plant.

Question 5

A histogram has bars for test score ranges. The frequencies are 50-59: 1, 60-69: 4, 70-79: 8, 80-89: 6, and 90-99: 3. How many scores are shown in the histogram?

Accepted Answer

The histogram shows 22 scores because 1 + 4 + 8 + 6 + 3 = 22.

Question 6

The number of pets owned by students in a class is shown in this frequency table: 0 pets: 4 students, 1 pet: 9 students, 2 pets: 6 students, 3 pets: 3 students, 4 pets: 1 student. How many students own at least 2 pets?

Accepted Answer

A total of 10 students own at least 2 pets because 6 + 3 + 1 = 10.

Question 7

A data set has these values: 5, 6, 6, 7, 8, 8, 8, 9, 10, 10. Explain why a frequency table can be more useful than a list for this data.

Accepted Answer

A frequency table can be more useful because it shows how often each value occurs, making it easier to see that 8 appears most often.

Question 8

A histogram groups ages into intervals of 10 years: 0-9, 10-19, 20-29, and 30-39. Explain why the bars in a histogram should touch.

Accepted Answer

The bars in a histogram should touch because the intervals represent continuous numerical ranges with no gaps between the groups.

Question 9

The number of minutes 15 students practiced an instrument is: 12, 18, 20, 22, 25, 27, 29, 31, 33, 35, 38, 40, 42, 44, 49. Make a grouped frequency table using intervals 10-19, 20-29, 30-39, and 40-49.

Accepted Answer

The grouped frequency table is: 10-19: 2 students, 20-29: 5 students, 30-39: 4 students, and 40-49: 4 students.

Question 10

A histogram shows the number of text messages sent in one day. The interval 0-19 has frequency 6, 20-39 has frequency 9, 40-59 has frequency 5, and 60-79 has frequency 2. How many people sent fewer than 40 messages?

Accepted Answer

A total of 15 people sent fewer than 40 messages because the intervals 0-19 and 20-39 have frequencies 6 and 9, and 6 + 9 = 15.

Question 11

A frequency table for shoe sizes shows: size 6: 2 students, size 7: 4 students, size 8: 7 students, size 9: 5 students, size 10: 2 students. Identify the mode and explain what it means.

Accepted Answer

The mode is size 8 because it has the greatest frequency. This means size 8 is the most common shoe size in the group.

Question 12

A student makes a histogram for the data values 1, 2, 3, 4, 5, 6, 7, 8 using intervals 1-2, 2-3, 3-4, and 4-5. Explain one problem with these intervals.

Accepted Answer

One problem is that the intervals overlap at values such as 2, 3, and 4. Each data value should fit into only one interval, so the intervals should be written without overlap.

Statistics: Frequency Tables and Histograms

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