Question

rhonda counted the number of candy bars in 15 bags of choco - crunch candy bars. rhonda displayed the data with the dot plot shown below. each ● represents 1 candy bar. candy count
10 ●
11 ● ●
12 ● ●
13 ● ● ● ● ●
14 ● ● ●
15 ● ●
which two statements are best supported by the information in the dot plot?
a exactly ⅔ of the bags contained less than 13 candy bars.
b exactly 25% of the bags contained 13 candy bars.
c exactly 20% of the bags contained 10 or 11 candy bars.
d exactly 90% of the bags contained more than 10 candy bars.
e exactly ⅗ of the bags contained 11, 12, or 13 candy bars.
f exactly 50% of the bags contained 13, 14, or 15 candy bars.

Explanation:

Step1: Analyze total number of bags

There are 1 + 2+2 + 5+3 + 2=15 bags.

Step2: Analyze statement A

The number of bags with less than 13 candy - bars is 1 + 2+2 = 5. The fraction is $\frac{5}{15}=\frac{1}{3}
eq\frac{2}{3}$, so statement A is false.

Step3: Analyze statement B

The number of bags with 13 candy - bars is 5. The percentage is $\frac{5}{15}\times100\%\approx33.3\%
eq25\%$, so statement B is false.

Step4: Analyze statement C

The number of bags with 10 or 11 candy - bars is 1+2 = 3. The percentage is $\frac{3}{15}\times100\% = 20\%$, so statement C is true.

Step5: Analyze statement D

The number of bags with more than 10 candy - bars is 2+2 + 5+3 + 2=14. The percentage is $\frac{14}{15}\times100\%\approx93.3\%
eq90\%$, so statement D is false.

Step6: Analyze statement E

The number of bags with 11, 12, or 13 candy - bars is 2+2 + 5=9. The fraction is $\frac{9}{15}=\frac{3}{5}$, so statement E is true.

Step7: Analyze statement F

The number of bags with 13, 14, or 15 candy - bars is 5+3 + 2=10. The percentage is $\frac{10}{15}\times100\%\approx66.7\%
eq50\%$, so statement F is false.

Answer:

C. Exactly 20% of the bags contained 10 or 11 candy bars.
E. Exactly $\frac{3}{5}$ of the bags contained 11, 12, or 13 candy bars.