the length in minutes of a sample of films was recorded, and this data is presented in the graph below…
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.
Answer
Explanation:
Step1: Calculate total number of films
Sum the frequencies: $3 + 11+5 + 6+5 + 2+3+2=37$.
Step2: Analyze first option
The number of films with length less than 100 minutes is $3 + 11=14$, which is less than half of $37$ (half of $37$ is $18.5$). So this option is incorrect.
Step3: Analyze second option
The last - interval is $130 - 140$ (assuming continuous intervals). We only know the interval, not the exact values within it. So we cannot say for sure that at least one film is 135 minutes long. This option is incorrect.
Step4: Analyze third option
As calculated in Step 1, the total number of films is $37$, which is less than $40$. This option is correct.
Step5: Analyze fourth option
The distribution has a tail on the right - hand side, so it is skewed to the right, not left. This option is incorrect.
Answer:
There are less than 40 films included in this sample.