Data Sets and Distributions

Multiple Choice

What is the shape of the distribution of body lengths of 143 wild bears as shown in the histogram?

• Bimodal distribution
• Exponential distribution
• Approximately normal distribution
• Uniform distribution

Open Ended

Which data set is more likely to produce a histogram with a symmetric distribution? Explain your reasoning. * Data on the number of seconds on a track of music in a pop album. * Data on the number of seconds spent talking on the phone yesterday by everyone in the school.

Multiple Choice

Decide if the data set of the ages of students in a sixth-grade class might produce one or more gaps when represented by a histogram. If you think it might produce gaps, briefly describe or give an example of how the values in the data set might do so.

• No, the data set will always produce a continuous histogram.
• Yes, but only if all ages are the same.
• Yes, the data set might produce gaps in the histogram.
• No, gaps are not possible in any histogram.

Multiple Choice

Decide if the data set of the ages of people in an elementary school might produce one or more gaps when represented by a histogram. If you think it might produce gaps, briefly describe or give an example of how the values in the data set might do so.

• No, the data set will always produce a continuous histogram.
• Yes, the data set might produce gaps in the histogram.
• Yes, but only if the ages are all the same.
• No, gaps are not possible in any histogram.

Multiple Choice

Decide if the data set of the ages of people eating in a family restaurant might produce one or more gaps when represented by a histogram. If you think it might produce gaps, briefly describe or give an example of how the values in the data set might do so.

• Yes, but gaps are not possible in age data.
• Yes, the data set might produce gaps in the histogram.
• No, gaps can only occur in numerical data sets.
• No, the data set will always produce a continuous histogram.

Multiple Choice

Decide if the data set of the ages of people who watch football might produce one or more gaps when represented by a histogram. If you think it might produce gaps, briefly describe or give an example of how the values in the data set might do so.

• No, the data set will have a uniform distribution.
• Yes, but the ages will be evenly spaced.
• No, gaps are not possible in this data set.
• Yes, the data set might produce gaps in the histogram.

Multiple Choice

Decide if the data set of the ages of runners in a marathon might produce one or more gaps when represented by a histogram. If you think it might produce gaps, briefly describe or give an example of how the values in the data set might do so.

• No, the data set will have a uniform distribution.
• Yes, but only if all ages are the same.
• No, gaps are not possible in age data.
• Yes, the data set might produce gaps.

Multiple Choice

In one study of wild bears, researchers measured the weights, in pounds, of 143 wild bears that ranged in age from newborn to 15 years old. The data were used to make this histogram. What can you say about the heaviest bear in this group?

• The heaviest bear is exactly 350 pounds.
• The heaviest bear is likely over 400 pounds.
• The heaviest bear is under 200 pounds.
• The heaviest bear is likely over 600 pounds.

Multiple Choice

In one study of wild bears, researchers measured the weights, in pounds, of 143 wild bears that ranged in age from newborn to 15 years old. The data were used to make this histogram. What is a typical weight for the bears in this group?

• 150 pounds
• 250 pounds
• 100 pounds
• 200 pounds

Multiple Choice

In one study of wild bears, researchers measured the weights, in pounds, of 143 wild bears that ranged in age from newborn to 15 years old. The data were used to make this histogram. Do more than half of the bears in this group weigh less than 250 pounds?

• Yes

• No