Worksheet: Histograms

In this worksheet, we will practice using histograms to analyze data, communicate information, and get insights from data.

Q1:

The frequency diagram shows the age at which several people started their first job. Using this information, determine how many people started their first job between the ages of 15 and 25.

  • A1
  • B2
  • C10
  • D19
  • E9

Q2:

Use the histogram to find the number of students who are between 60 and 70 inches tall.

Q3:

The histogram shows the highest wind speeds in 30 different cities. How many cities recorded wind speeds of 75 mph or more?

Q4:

What type of data is appropriate for a frequency diagram?

  • Aqualitative
  • Bquantitative–discrete
  • Cquantitative–continuous

Q5:

The histogram shows the number of movies watched by a class of students during a month. How many students watched less than 14 movies?

Q6:

This histogram shows the time that students spend doing homework every night. How many students spend seventy-five minutes or less doing homework?

Q7:

Use the histogram to find the percentage of cities that have an area between 200 and 600 square kilometers.

Q8:

This histogram shows the time that students spend doing homework every night. How many students spend 15 minutes or more doing homework?

Q9:

The frequency diagram shows the times taken for a group of students to read a short article.

How many students took between 60 and 70 seconds to read the article?

  • A17 students
  • B16 students
  • C19 students
  • D15 students
  • E18 students

How many more students took between 80 and 90 seconds to read the article than those who took between 50 and 60 seconds?

  • A17 students
  • B19 students
  • C18 students
  • D16 students
  • E15 students

How many students took more than 80 seconds to read the article?

  • A31 students
  • B23 students
  • C32 students
  • D29 students
  • E30 students

How many students took less than 70 seconds to read the article?

  • A23 students
  • B22 students
  • C21 students
  • D32 students
  • E19 students

How many students were asked to read the article?

  • A73 students
  • B75 students
  • C70 students
  • D72 students
  • E71 students

What is the longest possible range of times taken by the students?

  • A 40 seconds
  • B 20 seconds
  • C 30 seconds
  • D 50 seconds
  • E 10 seconds

What is the shortest possible range of times taken by the students?

  • A 20 seconds
  • B 30 seconds
  • C 50 seconds
  • D 10 seconds
  • E 40 seconds

Q10:

The histogram demonstrates the wind speeds in 30 cities. What is the most common interval for the wind speed?

  • A 7 0 8 0 mph
  • B 5 0 6 0 mph
  • C 8 0 9 0 mph
  • D 6 0 7 0 mph

Q11:

The histogram shows the time it took for several runners to finish a 400-meter dash. Determine the percentage of runners who finished in less than 70 seconds.

Q12:

What do the heights of the bars on a frequency diagram represent?

  • Athe overall range of values
  • Bdata values
  • Cthe frequency in each group

Q13:

Fady recorded how long he takes to get dressed in the morning. The results are shown on the diagram. Which time interval has the highest frequency?

  • A
  • B
  • C
  • D
  • E

Q14:

What should be plotted on the vertical axis of a frequency diagram?

  • Athe overall range of values
  • Bdata values
  • Cfrequency

Q15:

Does this histogram show that the most common amount of sugar ( 𝑠 ) per serving of cereal satisfies 9 𝑠 < 1 2 ?

  • Ano
  • Byes

Q16:

The histogram shows the distribution of the hours that Nader spent studying during the last 14 weeks.

What is the total number of hours that Nader spent studying?

Q17:

Which of the statements is correct for the distribution represented by the diagram?

  • AThe distribution has an outlier and is not symmetric.
  • BThe data is clustered around a peak of 8.
  • CThe mean is 14.
  • DThe data has a gap and is not symmetric.
  • EThe data is symmertic.

Q18:

The histogram represents the ages of people on a recent airplane flight. In what age range would you find the median of the data?

  • A ages 20–29
  • B ages 10–19
  • C ages 40–49
  • D ages 30–39

Q19:

A sports club is organizing a competition for under 15 s. They collected the data on the heights of the 13-to-15-year-old competitors and displayed it in the shown histogram.