## Envision Math 5th Grade Textbook Answer Key Topic 19.2 Histograms

**Histograms**

How do you make and interpret a histogram?

Answer:

A radio station recorded the ages of 25 callers in a phone survey.

This data can be shown by a histogram, a bar graph that groups data into equal intervals shown on the horizontal axis. There is no space between the bars.

Question.

Make a histogram to show the frequency of data in each age interval.

Answer:

**Guided Practice**

**Do you know HOW?**

Question 1.

The table shows the number of minutes 25 students spent on homework each night. How would the lengths of the bars compare if you made a histogram to show the data?

Answer:

**Do you UNDERSTAND?**

Question 2.

According to the histogram in Exercise 1, what fraction of the students surveyed spent 30-59 minutes on homework each night?

Answer:

Question 3.

In the example above, how can you tell that \(\frac{1}{5}\) of the people surveyed were in the 40-59 age group?

Answer:

**Independent Practice**

Question 4.

The table shows the results of a class survey about the amount of time students spend on their cell phones each day. Copy and complete the histogram shown at the right.

Answer:

Step 1: List the age intervals along the horizontal axis.

Step 2: Along the vertical axis mark the scale. List the greatest and least numbers in the survey results Choose an interval. Label the axes.

Step 3: Graph the data by drawing bars of the correct height. Title the graph.

Step 4: Interpret the graph. Twice as many people were in the 20-39 age group as in the 0-19 age group. Most people were in the 20-39 age group.

The group with the least number was the 60-79 age group.

**Problem Solving**

One class took a survey of the amount of money they spent on CDs over 3 months and made a histogram of the results. The histogram is shown at the right.

Question 5.

a. How many students were surveyed?

Answer:

b. What fraction of students spent between 0 and $9.99 on CDs?

Answer:

c. In which range of money spent did twice as many students buy CDs than in the $20-$29.99 range?

Answer:

Question 6.

Reasoning Selma says that a histogram shows that 4 times as many people in the 21-25 age group answered the survey than in the 36-40 age group. How does she know this from looking at the histogram?

Answer:

Question 7.

On a coordinate grid, Sue drew a path starting at (6, 2). She moved 2 spaces to the right and 3 units up. What is the ordered pair for the point where she stopped?

Answer:

Question 8.

On a class trip, Harry spent $28. Nate spent $6 less than Harry. Which expression could you use to find how much both boys spent?

A. 28 + 28 + 6

B. 28 + (28 – 6)

C. 28 – (28 + 6)

D. 28 – 28 – 6

Answer:

Question 9.

At 6 A.M., the temperature was -5°F. By noon, the temperature had increased by 12°F. What was the temperature at noon?

A. 17°F

B. 7°F

C. -7°F

D. -12°F

Answer: