Question

a group of first - grade students were asked to name their favorite color. the responses are shown in the following frequency table.

color	red	blue	green	yellow	purple

which of the following statements is supported by the frequency table?
a more students chose purple than any other color.
b twice as many students chose blue as chose red.
c yellow was chosen by the least number of students.
d the total number of student responses is 80.
e the combined number of students who chose green and yellow is greater than the number of students who chose purple.

Explanation:

Step1: Analyze Option A

Check if purple has the highest frequency. Blue has 30, purple has 25. So 30 > 25, A is false.

Step2: Analyze Option B

Check if blue (30) is twice red (15). \( 15\times2 = 30 \), so 30 = 30. B is true.

Step3: Analyze Option C

Green has frequency 8, which is less than yellow (12), red (15), etc. So yellow is not least, C is false.

Step4: Analyze Option D

Sum frequencies: \( 15 + 30 + 8 + 12 + 25 = 90
eq 80 \), D is false.

Step5: Analyze Option E

Green + yellow = \( 8 + 12 = 20 \), purple is 25. 20 < 25, E is false.

Answer:

B. Twice as many students chose blue as chose red.