Make More Comparative Inferences About Populations

The following shows the number of calls two radio shows get each day for a ten day period. The two shows are on at the same time. Make a comparative inference based on the median values.

• Show 1 usually receives more calls.

• Show 2 usually receives more calls.

• The shows usually receive equal numbers of calls.

• There is not enough data to draw an inference.

There are two types of plants in a greenhouse. The following dot plots show the heights of 20​ plants, 10 of Type 1 and 10 of Type 2. The plants are given the same amount of food and water and grow at the same rate. What is an inference that can be made from the means?

• Type 2 is typically taller.

• Type 1 is typically taller.

• The types are typically the same height.

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 education board is analyzing the amount of time students spend on homework each night. They take a random sample of 10 students from each school. What can you infer using the measure of​ center?

• You can infer from the means that the students of School X spend the same amount of time on homework than the students of School Y.

• You can infer from the IQRs that the amount of time students spend on homework is fairly consistent within each school.

• You can infer from the IQRs that the amount of time students spend on homework varies significantly within each school.

• You can infer from the medians that the students of School X spend less time on homework than the students of School Y.

The following dot plots show the ages of two groups of tourists. Make a comparative inference based on the mean values. What is the first step for calculating the mean?

• The first step should be to count the ages that have dots and just average those numbers.

• The first step should be to find the middle number of all the dots.

• The first step should be to count the number of dots for each age.

• The first step should be to average the minimum and maximum values that have dots.

The following dot plots show the ages of two groups of tourists. Make a comparative inference based on the mean values. The mean for group 1 is?

• 41

• 41.5

• 42

• 42.5

The following dot plots show the ages of two groups of tourists. Make a comparative inference based on the mean values. The mean for group 2 is?

• 46.5

• 47

• 47.5

• 48

There are two types of plants in a greenhouse. The following dot plots show the heights of 20​ plants, 10 of Type 1 and 10 of Type 2. The plants are given the same amount of food and water and grow at the same rate. Why you would want to use a dot plot to find the mean instead of a box plot.

• Box plots give you the mean.

• Box plots contain all the data in the data set.

• Dot plots contain all the data in the data set.

• Dot plots give you the mean.

Waldo and Freddy caught fish one weekend. The dot plots show the lengths of the fish they caught. Which statement about the lengths of the fish caught by Waldo and Freddy appears to be true?

• The range of the length of the fish caught by Freddy is greater than the range of the length of the fish caught by Waldo.

• The median length of the fish caught by Waldo is greater than the median length of the fish caught by Freddy.

The dot plots show the number of children's books purchased by customers at two differenct bookstores on one day. Which statement is supported by the information in the dot plots?

• The range of the data for Store 1 is greater than the range of the data for Store 2.

• The mean of the data for Store 1 is greater than the mean of the data for Store 2.