1
Select the correct answer.
The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and standard deviation is 4 beads. Which sentence most closely summarizes the data?
A. About 24 necklaces have more than 28 beads.
B. About 48 necklaces have more than 28 beads.
C. About 80 necklaces have more than 28 beads.
D. About 96 necklaces have more than 28 beads.
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Step 1 ：The question is asking for the number of necklaces that have more than 28 beads. This is a problem of normal distribution. We know that approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. Since the mean is 24 and the standard deviation is 4, 28 beads is one standard deviation above the mean. Therefore, we can say that approximately 16% (100% - 84%) of the necklaces have more than 28 beads.

Step 2 ：We can calculate the exact number by multiplying 16% by the total number of necklaces, which is 500. The calculation is as follows: \(500 \times 0.16 = 80\)

Step 3 ：\(\boxed{\text{Final Answer: The correct answer is C. About 80 necklaces have more than 28 beads.}}\)