Question

the circumference of a basketball is between 29.5 and 30 inches. a manufacturer measures 47 basketballs. which data display(s) can help you answer the question? in the sample, how many basketballs have a circumference of at least 29.7 but less than 29.9 inches? choose the correct answer below.
options: box plot, dot plot, dot plot and histogram, dot plot and box plot, dot plot, box plot, and histogram, box plot and histogram, histogram

Explanation:

To determine how many basketballs have a circumference of at least 29.7 but less than 29.9 inches, we need a data display that shows the frequency of data points within specific intervals. A dot plot can show individual data points, but a histogram is better for showing the distribution of continuous data (like circumference) in intervals. However, a dot plot can also be used to count individual points in a range, and a histogram is designed for interval - based frequency. But the option that includes both dot plot and histogram (or the one that is most suitable for counting in a range) is the dot plot and histogram? Wait, no. Wait, the question is which data displays can help answer the question. A dot plot shows each data point, so we can count the number of dots (basketballs) with circumference in [29.7, 29.9). A histogram groups data into intervals and shows the frequency (number of data points) in each interval, so we can look at the bar for the interval [29.7, 29.9) to get the count. A box plot shows quartiles, median, etc., and doesn't show the frequency of individual intervals. So the data displays that can help are dot plot and histogram. Looking at the options, the option "dot plot and histogram" is present.

Answer:

dot plot and histogram