Question

which two tables represent data sets that could be fit to a normal distribution curve? a value 1 2 3 4 5 6 7 8 9 10 11 percentage 1.5% 2.1% 2.2% 3.3% 3.9% 10.5% 14.1% 14.7% 15.3% 15.9% 16.5% b value 1 2 3 4 5 6 7 8 9 10 11 percentage 2.3% 4.4% 6.8% 11.4% 20.2% 27.8% 14.1% 7.6% 3.2% 1.5% 0.7% c value 1 2 3 4 5 6 7 8 9 10 11 percentage 19.2% 17.3% 6.9% 5.4% 2.9% 0.8% 2.8% 4.6% 7.3% 15.7% 17.1% d value 1 2 3 4 5 6 7 8 9 10 11 percentage 21.3% 15.1% 14.8% 12.3% 8.1% 7.9% 6.3% 5.5% 4.8% 2.3% 1.6% e value 1 2 3 4 5 6 7 8 9 10 11 percentage 1.2% 2.9% 3.3% 7.9% 17.1% 35.2% 16.7% 8.4% 4.1% 2.3% 0.9%

Explanation:

Step1: Recall normal - distribution property

A normal - distribution curve is symmetric about the mean, with the highest frequency in the middle and tapering off on both sides.

Step2: Analyze Option A

The percentages in Option A do not show a symmetric pattern around a central value. The values keep increasing steadily without a peak in the middle and symmetric decay on either side.

Step3: Analyze Option B

The percentages in Option B first increase from 2.3% to 27.8% at value 6 and then decrease symmetrically to 0.7% at value 11. This shows a bell - shaped, symmetric pattern characteristic of a normal distribution.

Step4: Analyze Option C

The percentages in Option C do not show a symmetric pattern. There is no clear central peak and symmetric decrease on both sides.

Step5: Analyze Option D

The percentages in Option D do not show a symmetric pattern around a central value. The decrease is not symmetric.

Step6: Analyze Option E

The percentages in Option E first increase from 1.2% to 35.2% at value 6 and then decrease symmetrically to 0.9% at value 11. This shows a bell - shaped, symmetric pattern characteristic of a normal distribution.

Answer:

B.
E.