Question

the length in minutes of a sample of films was recorded, and this data is presented in the graph below. which one of the following statements is a correct interpretation of this graphical display? more than half of the films in the sample have lengths that are less than 100 minutes. at least one film in this sample might have been 135 minutes long. there are less than 40 films included in this sample. the distribution has a shape that is skewed to the left. none of the other answer options are correct.

Explanation:

Step1: Calculate total frequency

Add up the frequencies of all bars. Frequencies are 3 + 11+ 5+ 6+ 2+ 3+ 2 = 32.

Step2: Analyze option 1

Frequencies of films less than 100 minutes are 3 + 11= 14. Since 14<32/2, this option is incorrect.

Step3: Analyze option 2

The last bar ends at 130 minutes, so no film in this sample can be 135 minutes long, this option is incorrect.

Step4: Analyze option 3

We calculated total frequency as 32 which is less than 40, this option is correct.

Step5: Analyze option 4

The tail of the distribution extends to the right, so it is skewed right, not left, this option is incorrect.

Answer:

There are less than 40 films included in this sample.