AnswersConcepts in Probability and Statistics APlotting Data on a Dot Plot

Representing Data Sets with Histograms Answers

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Maria kept a log of the number of miles she jogged each time she went for a run as she trained for an upcoming marathon. She displayed the logged runs in the histogram below.What is the range of the number of miles Maria jogged?

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A
0 to 7
B
0 to 7.99
C
1 to 7.99
D
1 to 8
2
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Which statement about a histogram is true?

A
A cluster means the frequency is zero.
B
If the graph has a cluster, the data is evenly distributed.
C
A mirror image of the left and right side of a histogram means there is a peak in the middle.
D
A peak is a bar that is higher than the other bars around it.
3

To pass science, a student must earn at least a grade of 70. How many students failed this science class?

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Answer not available
4

The histogram shows how many jogging runs Maria made for each interval of miles. Which statement about the histogram is true?

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A
The majority of Maria’s runs were short, two-mile runs.
B
More than half Maria’s runs were less than five miles each.
C
The majority of Maria’s runs were between five and six miles.
D
At least 15 of Maria’s runs were more than four miles each.
5

What is the best description of the data in the histogram?

Question illustration
A
The data set is symmetrical.
B
The data interval is 4.
C
The data set has a peak.
D
The data set has a cluster.
6

Liliana noted that the temperature was 45 degrees when she woke up. At noon she started recording the increase in degrees from the morning temperature. Which statement most reasonably explains the hours after the peak increase in temperature?

Question illustration
A
The temperature always rises after a peak.
B
The temperature increase went down because the thermometer’s battery was losing power.
C
The temperature increase went down because it became cooler as the sun went down for the night.
D
The temperature rose after the peak when the sun came out from behind a cloud bank.
7

Which statements about the histogram are true? Check all that apply.

Question illustration
A
The histogram shows that nine students had grades of 80 or higher.
B
The histogram shows there were 22 students in the class.
C
The histogram shows there were 25 students in the class.
D
The histogram is symmetrical.
E
The histogram has a peak.
F
The histogram shows the data is evenly distributed.
G
The histogram shows a gap in the data.
8

The histogram shows the number of cell phone calls received by Medera, a middle school student, one Saturday from 10 a.m. to 10 p.m. Which statement most reasonably explains the hours when zero calls were received?

Question illustration
A
Medera turned the phone off while playing in a soccer game.
B
Medera’s phone can only receive 22 calls a day.
C
Medera only receives calls in clusters.
D
Medera lost her phone for two hours.
9

Kona’s mother wanted to find out how many minutes her family spends on the phone for each call made. She put her data in a table after a week of observation as shown below. She asked Kona to make a histogram from the data.MinutesNumber of Calls1 - 526 - 10511 - 15616 - 201021 - 25726 - 30231 - 35136 - 40041 - 45246 - 501Which chart has the correct setup for Kona’s histogram?

A
A 2-column table with 4 rows tilted Time on Phone. Column 1 has entries interval use, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 10, 0 to 12, minutes on phone, number of calls.
Option A
B
A 2-column table with 4 rows tilted Time on Phone. Column 1 has entries interval use, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 10, 1 to 12, number of calls, minutes on phone.
Option B
C
A 2-column table with 4 rows tilted Time on Phone. Column 1 has entries interval use, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 5, 1 to 12, minutes on phone, number of calls.
Option C
D
A 2-column table with 4 rows tilted Time on Phone. Column 1 has entries interval use, appropriate scale, vertical axis represents, horizontal axis represents. Column 2 has entries 5, 0 to 12, number of calls, minutes on phone.
Option D
10

Julia had nine months to earn money for a school trip. The histogram shows Julia’s monthly deposits into her savings account.Which best describes the data for June, July, and August?

Question illustration
A
a cluster
B
a gap
C
low frequency
D
symmetric

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