AP Stats Ch 1 (2)

Heights, in inches, for the 200 graduating seniors from Washington High School are summarized in the frequency table below.
Which of the following statements about the median height is true?

• It is greater than or equal to 72 inches but less than 78 inches.
• It is greater than or equal to 66 inches but less than 72 inches.
• It is less than 60 inches.
• It is greater than or equal to 60 inches but less than 66 inches.

Tags

CCSS.6.SP.B.5C

A school is having a contest in which students guess the number of candies in a jar. The student whose guess is closest to the correct number of candies in the jar wins a prize. The number of candies guessed by male and female students is shown in the back-to-back stemplot below.
Which of the following statements is true about the distributions of guesses?

• The distribution of guesses for male students is skewed to the left, and the distribution of guesses for female students is skewed to the right.
• The distributions of guesses for male and female students are both skewed to the right.
• The distributions of guesses for male and female students are both skewed to the left.
• The distributions of guesses for male and female students are both symmetric.

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CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.1

Which of the following statements must be true about the data sets A and B displayed in the histograms above?

• The standard deviation of data set A is greater than the standard deviation of data set B.
• The mean of data set A is equal to the mean of data set B
• The median of data set A is equal to the median of data set B.
• The range of data set A is equal to the range of data set B.

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.1

essor James gave the same test to his three sections of statistics students. On the 35-question test, the highest score was 32 and the lowest was 15. Based on the information displayed in the boxplots above, which of the following statements is true?

•  At least 50% of the scores in section 3 are higher than all of the scores in section 1
• The top 25% of scores in section 2 are lower than the highest score in section 3.
• The lowest score in section 2 is higher than the highest score in either of the other sections.
• Section 2 has the smallest range of scores.

Tags

CCSS.7.SP.B.4

A sample of 942 homeowners are classified, in the two-way frequency table below, by the number of credit cards they have and the number of years they have owned their current homes. Of the homeowners in the sample who have four or more credit cards, what proportion have owned their current homes for at least one year?

• 78/212
• 78/258
• 78/942
• 212/942

Tags

CCSS.8.SP.A.4

Administrators at a state university computed the mean GPA (grade point average) for juniors and seniors majoring in either physics or chemistry. The results are displayed in the table below. When juniors and seniors are grouped together, could physics majors have a higher mean GPA than chemistry majors?

• No. The physics majors’ mean GPA for juniors and seniors must be 3.0, while the chemistry majors’ mean GPA for juniors and seniors must be 3.3.
• No. There is not enough information to determine the mean GPA for each major, but it must be higher for chemistry majors than for physics majors.
• Yes. It could happen. Whether it does happen depends on the number of juniors and seniors in each major.
• Yes. It could happen. Whether it does happen depends on the variability of the GPAs within each of the four groups of students.

Tags

CCSS.HSS.ID.A.2

CCSS.6.SP.B.5D

Each person in a random sample of adults was asked how many DVDs he or she owned. Summary statistics are given below.
Which of the following statements is true?

• Fifty percent of the adults in the sample own between 0 and 129.4 DVDs.
• The distribution of the number of DVDs owned appears to be approximately symmetric.
• The interquartile range of the number of DVDs owned is 65.
• The distribution of the number of DVDs owned contains outliers on both the low side and the high side.

Tags

CCSS.HSS.ID.A.3

CCSS.6.SP.B.5C

The number of hurricanes reaching the East Coast of the United States was recorded for each of the last ten decades by the National Hurricane Center. Summary measures are shown below.
Min = 12
Max = 24
Lower quartile = 15
Upper quartile = 18
Median = 16
n = 10
Which of the following statements is true?

• The smallest observation is 12 and it is an outlier. No other observations in the data set could be outliers.
• 24 is an outlier and it is possible that there are other outliers at the high end of the data set. There are no outliers at the low end of the data set.
• 12 is an outlier and it is possible that there are other outliers at the low end of the data set. There are no outliers at the high end of the data set.
• The largest observation is 24 and it is an outlier. No other observations in the data set could be outliers.

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

The figure above summarizes the heights, in centimeters, of approximately 400 pine seedlings six years after they were planted at a center for environmental study. Approximately half of the trees were fertilized yearly, and the remaining trees were never fertilized. Which of the following statements about the medians and interquartile ranges (IQRs) of the heights of the two groups of trees 6 years after being planted is true?

• The median for the unfertilized trees is less than the median for the fertilized trees, and the IQR is greater for the unfertilized trees.
• The median for the unfertilized trees is less than the median for the fertilized trees, and the IQR is less for the unfertilized trees.
• The median for the unfertilized trees is the same as the median for the fertilized trees, and the IQR is greater for the unfertilized trees.
• The median for the unfertilized trees is greater than the median for the fertilized trees, and the IQR is also greater for the unfertilized trees.

Tags

CCSS.7.SP.B.4

For the three histograms above, which of the following correctly orders the histograms from the one with the smallest proportion of data above its mean to the one with the largest proportion of data above its mean?

• J, K, L
• J, L, K
• K, L, J
• L, K, J

Tags

CCSS.6.SP.A.2