rhonda counted the number of candy bars in 15 bags of choco - crunch candy bars. rhonda displayed the data…

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\n10 ●\n11 ● ●\n12 ● ●\n13 ● ● ● ● ●\n14 ● ● ●\n15 ● ●\nwhich two statements are best supported by the information in the dot plot?\na exactly ⅔ of the bags contained less than 13 candy bars.\nb exactly 25% of the bags contained 13 candy bars.\nc exactly 20% of the bags contained 10 or 11 candy bars.\nd exactly 90% of the bags contained more than 10 candy bars.\ne exactly ⅗ of the bags contained 11, 12, or 13 candy bars.\nf exactly 50% of the bags contained 13, 14, or 15 candy bars.
Answer
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 $\frac{5}{15}=\frac{1}{3}\neq\frac{2}{3}$, so statement A is false.
Step3: Analyze statement B
The number of bags with 13 candy - bars is 5. The percentage is $\frac{5}{15}\times100%\approx33.3%\neq25%$, 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 $\frac{14}{15}\times100%\approx93.3%\neq90%$, 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 $\frac{10}{15}\times100%\approx66.7%\neq50%$, 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.