Making Inferences from Data

Litzy collects data from a random sample of 7th graders. Out of 40 respondents, 7 attend afterschool programs. Of the 200 7th graders attending Litzy's school, how many would be expected to attend afterschool programs?

• 14 7th graders

• 28 7th graders

• 35 7th graders

• 42 7th graders

A random survey was taken among a group of sports fans. They were asked to name their favorite sporting event to watch in person. Out of the 220 responses, 99 people chose NFL football. If the results were used to include 5,000 people, how many could be expected to also claim that NFL football is their favorite sport to watch in person?

• 450 people

• 2,273 people

• 2,250 people

• 495 people

Camira is comparing the growth of plants using two different fertilizers. Which statements about the box plots are true? Select all that apply.

• The median is group B is greater.

• According to the IQR, the variability in Group B is greater.

• Group B contained the plant with the least amount of growth.

• Group B contained the plant with the most amount of growth.

• Group A has the greater median.

In an effort to try to convince her mother that she is too old to join the intermediate swim​ class, Mira, who is 13 years​ old, gathers data on the ages of a random sample of members of the current intermediate swim class. The results of the data collected by Mira are displayed in the dot plot shown.

• It is likely that she will be able to convince her mother.​ Mira's age is within the area where the data are clustered.

• It is likely that she will be able to convince her mother.​ Mira's age is to the left of the area where the data are clustered.

• It is unlikely that she will be able to convince her mother.​ Mira's age is within the area where the data are clustered.

• It is unlikely that she will be able to convince her mother.​ Mira's age is to the left of the area where the data are clustered.

The dot plot below shows the points scored by players in a basketball game.

What is the difference between the MEDIAN and the MODE of this data?

• 6

• 1

• 5

• There is no difference.

What is the interquartile range?

• 4

• 6

• 2

• 8

What percentage of the data is between 90 and 140?

• 25 %

• 50%

• 75%

• 100%

A data set shows the number of minutes each of 153,477 students takes to complete a reading test. The median completion time is 110 minutes. The interquartile range is 34. Which statement about the completion times is MOST LIKELY to be true?

• Of these students, 25% complete the test in 110 minutes or less.

• Of these students, 50% complete the test in 110 minutes or less.

• Of these students, 75% complete the test in 127 minutes or less.

• Of these students, 75% complete the test in 144 minutes or less.

A group of 50 randomly chosen students were asked if they would be interested in attending this year's field trip to Philadelphia, PA. Thirty-eight of the 50 students replied yes. Based on this result, how many students out of the entire seventh grade could be expected to attend the trip, if there are 425 total students in the grade level?

Select the statement that is TRUE.

• Both have the same Upper Extreme

• Both have the same Median

• Both have the same Inter-Quartile Range

• Both have the same Lower Quartile