Samples and Populations Statistics

A group of randomly selected Limestone Middle School students were asked their favorite color.  6 of the 25 students said their favorite color is orange.  Based on the survey, what is the most reasonable estimate for the number of the 525 Limestone Middle School students whose favorite color is orange? (Do not include a label on your answer.)

Ken took a survey to find the time it takes students to travel to school.  A sample of the data is shown below.  What is the sample median for this data?

Greg recorded the number of books read by students.  A sample of the data is below.   What is the sample mean of this data?

The population describes:

• The group of people, objects or events being surveyed

• a part of the group being surveyed

• the whole world

• the school

True or False: all samples lead to a good prediction about an entire population.

• True

• False

Data was collected about the height of men and women college basketball players. Ten random players were selected from each team. The mean height for the men is 77 inches and the mean for the women is 71 inches. The MAD for these two samples is 2.5. Is the difference in means of the two data sets meaningful? Why?

• Yes, the difference in means divided by MAD is less than 1.5.

• Yes, the difference in means divided by MAD is greater than 1.5.

• No, the difference in means divided by MAD is less than 1.5.

• No, the difference in means divided by MAD is greater than 1.5.

Kerron gathers the heights of a random sample of 6th graders and 7th graders and displays the data in box plots. Which statement below is true?

• The median of the 7th grade sample is greater than the 6th grade sample.

• The 7th grade sample has greater variability.

• The ranges of both data samples are equivalent.

• The median of the 6th grade sample is greater than the 7th grade sample.

Group A and Group B were randomly sampled from the same population. Which statements below are true? Select all that apply.

• Group A has a greater median than Group B

• Group A has a greater range than Group B

• Group A has greater variability than Group B

• Group B has a greater median than Group A

• You cannot tell which group has the greater median based on the picture.

Keyli gathers the heights of a random sample of six graders and seventh graders and displays the data in box plots. What can she say about the data sets?

• The 6th grade sample has greater variability.

• The 7th grade sample has greater variability.

• The 6th grade sample has the greater median.

• The ranges are equal for both samples.

Which data set shows students who tend to spend more time on homework per week?

• Finn's Data Set

• Jonah's Data Set