AP STAT UNIT 1 PROGRESS CHECK:
MCQ PART B CORRECT 100%
The following table shows the number of miles a hiker walked on a trail each day for 6
days.
What was the mean number of miles the hiker walked for the 6 days? - ANSWER6.5
The following list shows the number of goals scored by a soccer team in each of 9
games.
How does the median number of goals scored compare with the mean number of goals
scored? - ANSWERThe median is less than the mean by 1.
To gather data for a statistics project, a student asked 10 friends how many hours of
sleep they got on the previous night. The data are shown in the following list.
What is the interquartile range (IQR) of the number of hours of sleep shown in the list? -
ANSWER3 hours
The time, in minutes, it took each of 11 students to complete a puzzle was recorded and
is shown in the following list.
9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58
One of the students who completed the puzzle claimed that there were two outliers in
the data set. Based on the 1.5×IQR rule for outliers, is there evidence to support the
student's claim? - ANSWERNo, there is only one outlier at 58 minutes.
A reporter collected data on the purchase prices, in thousands of dollars, of 72 cars sold
in a region. The following histogram summarizes the reporter's data.
For a presentation on the data collected, the reporter used the median of the distribution
to describe the typical purchase price. Which of the following might explain the use of
median to describe the typical purchase price? - ANSWERThere is an outlier between
$80,000 and $85,000. Medians are resistant to outliers, while means are not.
The distribution of 27 salaries at a small company has mean $35,000 and standard
deviation $2,000. Suppose the company hires a 28th employee at a salary of $120,000.
Which of the following claims about the new salary distribution is supported?
I. The median is not likely to change.
II. The range is not likely to change.
III. The mean is likely to increase. - ANSWERI and III only
A sociologist studying marriage customs collected data on the length of time, in months,
between the proposal and wedding. The following boxplot and table give the five-
number summary for couples in which at least one person was getting married for the
first time and for couples in which both people had been previously married.
MCQ PART B CORRECT 100%
The following table shows the number of miles a hiker walked on a trail each day for 6
days.
What was the mean number of miles the hiker walked for the 6 days? - ANSWER6.5
The following list shows the number of goals scored by a soccer team in each of 9
games.
How does the median number of goals scored compare with the mean number of goals
scored? - ANSWERThe median is less than the mean by 1.
To gather data for a statistics project, a student asked 10 friends how many hours of
sleep they got on the previous night. The data are shown in the following list.
What is the interquartile range (IQR) of the number of hours of sleep shown in the list? -
ANSWER3 hours
The time, in minutes, it took each of 11 students to complete a puzzle was recorded and
is shown in the following list.
9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58
One of the students who completed the puzzle claimed that there were two outliers in
the data set. Based on the 1.5×IQR rule for outliers, is there evidence to support the
student's claim? - ANSWERNo, there is only one outlier at 58 minutes.
A reporter collected data on the purchase prices, in thousands of dollars, of 72 cars sold
in a region. The following histogram summarizes the reporter's data.
For a presentation on the data collected, the reporter used the median of the distribution
to describe the typical purchase price. Which of the following might explain the use of
median to describe the typical purchase price? - ANSWERThere is an outlier between
$80,000 and $85,000. Medians are resistant to outliers, while means are not.
The distribution of 27 salaries at a small company has mean $35,000 and standard
deviation $2,000. Suppose the company hires a 28th employee at a salary of $120,000.
Which of the following claims about the new salary distribution is supported?
I. The median is not likely to change.
II. The range is not likely to change.
III. The mean is likely to increase. - ANSWERI and III only
A sociologist studying marriage customs collected data on the length of time, in months,
between the proposal and wedding. The following boxplot and table give the five-
number summary for couples in which at least one person was getting married for the
first time and for couples in which both people had been previously married.
