which of the following statements is not supported by the bar chart?\na more than 60% of both tenth - grade…

Explanation:

Step1: Analyze bar - chart values

The relative frequencies for ninth, tenth, eleventh, and twelfth grades are all around 0.5 (since the bars are close to 0.5 on the relative - frequency axis).

Step2: Evaluate option A

The bars for tenth and eleventh grades are close to 0.5, which means less than 60% responded yes. This option is not supported.

Step3: Evaluate option B

The bar for twelfth - grade is the shortest among them, so it has the least percentage of students who responded yes. This option is supported.

Step4: Evaluate option C

Since the relative frequency of tenth - grade students is close to 0.5, the percentage of those who responded no is less than 40% (because 1 - 0.5 = 0.5 and 1 - 0.6=0.4). This option is supported.

Step5: Evaluate option D

We cannot determine the actual number of students from relative frequencies without knowing the sample size. But if we assume the sample size is the same for all grades, the bar for tenth - grade is higher than that for ninth - grade, so more tenth - grade students responded yes. This option may be supported depending on the sample - size assumption.

Step6: Evaluate option E

The bar for eleventh - grade is higher than that for ninth - grade, so the percentage of eleventh - grade students who responded no is less than that of ninth - grade students. This option is supported.

Answer:

A. More than 60% of both tenth - grade and eleventh - grade students responded yes.