SAT Data Analysis

A survey was taken of the value of homes in a county, and it was found that the mean home value was $165,000 and the median home value was $125,000. Which of the following situations could explain the difference between the mean and median home values in the county?

• The homes have values that are close to each other.
• There are a few homes that are valued much less than the rest.
• There are a few homes that are valued much more than the rest.
• Many of the homes have values between $125,000 and $165,000

Tags

CCSS.6.SP.B.5

CCSS.6.SP.A.2

CCSS.6.SP.A.3

Nick surveyed a random sample of the freshman class of his high school to determine whether the Fall Festival should be held in October or November. Of the 90 students surveyed, 25.6% preferred October. Based on this information, about how many students in the entire 225-person class would be expected to prefer having the Fall Festival in October?

• 50
• 60
• 75
• 80

Tags

CCSS.7.SP.A.2

For the finale of a TV show, viewers could use either social media or a text message to vote for their favorite of two contestants. The contestant receiving more than 50% of the vote won. An estimated 10% of the viewers voted, and 30% of the votes were cast on social media. Contestant 2 earned 70% of the votes cast using social media and 40% of the votes cast using a text message. Based on this information, which of the following is an accurate conclusion?

• If all viewers had voted, Contestant 2 would have won.

• Viewers voting by social media were likely to be younger than viewers voting by text message.

• If all viewers who voted had voted by social media instead of by text message, Contestant 2 would have won.

• Viewers voting by social media were more likely to prefer Contestant 2 than were viewers voting by text message.

Tags

CCSS.7.SP.A.2

To determine the mean number of children per household in a community, Tabitha surveyed 20 families at a playground. For the 20 families surveyed, the mean number of children per household was 2.4. Which of the following statements must be true?

• The mean number of children per household in the community is 2.4.
• A determination about the mean number of children per household in the community should not be made because the sample size is too small.
• The sampling method is flawed and may produce a biased estimate of the mean number of children per household in the community.
• The sampling method is not flawed and is likely to produce an unbiased estimate of the mean number of children per household in the community.

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

The table above lists the ages of the first 12 United States presidents when they began their terms in office. According to the table, what was the mean age, in years, of these presidents at the beginning of their terms?

• 47.9

• 54.6

• 56.7

• 58.6

Tags

CCSS.6.SP.B.5C

The tables below give the distribution of high temperatures in degrees Fahrenheit (°F) for City A and City B over the same 21 days in March.

• The standard deviation of temperatures in City A is larger.

• The standard deviation of temperatures in City B is larger.

• The standard deviation of temperatures in City A is the same as that of City B.

• The standard deviation of temperatures in these cities cannot be calculated with the data provided.

Tags

CCSS.7.SP.B.4

The table above shows the distribution of ages of the 20 students enrolled in a college class. Which of the following gives the correct order of the mean, median, and mode of the ages?

• mode < median < mean

• mode < mean < median

• median < mode < mean

• mean < mode < median

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

The 22 students in a health class conducted an experiment in which they each recorded their pulse rates, in beats per minute, before and after completing a light exercise routine. The dot plots below display the results. Let s1 and r1 be the standard deviation and range, respectively, of the data before exercise, and let s2 and r2 be the standard deviation and range, respectively, of the data after exercise. Which of the following is true?

• s1 = s2 and r1 = r2

• s1 < s2 and r1 < r2

• s1 > s2 and r1 > r2

• s1 ≠ s2 and r1 = r2

Tags

CCSS.7.SP.B.4

An online store receives customer satisfaction ratings between 0 and 100, inclusive. In the first 10 ratings the store received, the average (arithmetic mean) of the ratings was 75. What is the least value the store can receive for the 11th rating and still be able to have an average of at least 85 for the first 20 ratings?

• 50
• 60
• 75
• 90

Tags

CCSS.7.EE.B.3

CCSS.7.EE.B.4

What is the median of the modes in the dataset {−5, 4, 3, 7, 2, 1, 3, 4, 5, −1, 7, 8, −4, 2, 6}?

• 2

• 3

• 4

• 5

Tags

CCSS.6.SP.B.5C