Question

describe what is misleading in the visual display of data below.
marijuana use among college students in the last 30 days
never used 29.3%
not in last 30 days 10%
used 1 - 9 days 5.5%
used 10 - 29 days 3.5%
used all 30 days 17%
choose the correct answer below.
a. the title does not explain what is being displayed.
b. the chart is too small.
c. colors on the chart are too light and distort the data.
d. the percentages do not add up to 100%.

Explanation:

Step1: Calculate the sum of percentages

$$29.3\%+10\% + 5.5\%+3.5\%+17\%$$
$$=(29.3 + 10+5.5 + 3.5+17)\%$$
$$=(39.3+5.5 + 3.5+17)\%$$
$$=(44.8+3.5 + 17)\%$$
$$=(48.3+17)\%$$
$$=65.3\%$$

Step2: Analyze each option

• Option A: The title "Marijuana Use Among College Students in the Last 30 Days" clearly explains what is being displayed.
• Option B: Chart size has no relation to data mis - representation.
• Option C: There is no indication that colors distort data.
• Option D: Since \(65.3\%

eq100\%\), the percentages do not add up to \(100\%\) which is a problem for a pie - chart (where all categories should sum to \(100\%\)).

Answer:

D. The percentages do not add up to 100%.