Question

distance (thousands of km)
0 50 100 160 200 250

1. which display is more useful for approximating the minimum distance?

choose 1 answer:
a the histogram
b the box plot

1. which display can be used to find that there were 23 vehicles at

Explanation:

1.

A box plot (box - and - whisker plot) shows the minimum, first quartile, median, third quartile, and maximum values of a data set. The whiskers of the box plot extend to the minimum and maximum values, so it is very useful for approximating the minimum distance. A histogram is used to show the frequency distribution of data in different intervals and does not directly show the minimum value as clearly as a box plot.

A histogram is used to represent the frequency (number of occurrences) of data within different intervals. So, if we want to find the number of vehicles (a frequency - related measure), a histogram is useful. A box plot is used to show the spread and central tendency of the data, not the frequency of individual data points or the total number of data points in a straightforward way.

Answer:

B. The box plot

2.

(Note: Since the question is incomplete, we can only assume based on common knowledge. Usually, a histogram can show the frequency (number of observations) in each interval. If the intervals in the histogram are defined such that we can sum up the frequencies to get the total number of vehicles, a histogram can be used to find the number of vehicles. But without the full question about the display types (e.g., if the other display is a box plot which doesn't show frequency counts), we can infer that a histogram is used for frequency (number of items) related information. However, as the question is cut off, we can only provide this partial analysis. If we assume the other option is a box plot (which doesn't show the number of data points directly) and the question is about finding the number of vehicles, the answer would be the histogram (if that's an option). But since the original question is incomplete, we can't give a definite answer without more context. But if we assume the options are similar to the first part, and the question is about finding the number of vehicles, the histogram is used for frequency (count) data. )

(If we assume the second question is like "Which display can be used to find that there were 23 vehicles at... (some distance range)" and the options are histogram and box plot, then: )