Question

which box plot represents the data?
laps walked
box plot 1 with number line from 10 to 20
laps walked
box plot 2 with number line from 10 to 20

Explanation:

To determine which box - plot represents the data, we need to analyze the key components of a box - plot: the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value. However, since the original problem does not provide the actual data set (the values of the laps walked), we assume that there was some missing information in the user's input. But if we consider a typical box - plot analysis:

1. First, recall the structure of a box - plot: The box spans from Q1 to Q3, the line inside the box is the median, and the whiskers extend from the minimum to Q1 and from Q3 to the maximum.
2. Since the problem is about identifying the correct box - plot for a given data set (laps walked), we need to know the summary statistics (min, Q1, median, Q3, max) of the data.

But as the data values are not provided, we can't fully solve this. However, if we assume that the first box - plot (the upper one) has a certain distribution of quartiles and median that matches the data, or if there was a data set (for example, if the data was something like [11, 11.5, 12, 13, 14, 15, 16]), the first box - plot with the box from around 11 to 15 and median around 12 - 13 or the second with box from around 11 to 15 and median around 14 - 15.

Since the problem is about statistics (a sub - field of Mathematics), we can use the following general approach:

Step 1: Determine the five - number summary of the data (min, Q1, median, Q3, max)

Let's assume we have a data set for laps walked. For example, if the data is: 11, 11, 12, 13, 14, 15, 16.

• Minimum (min): 11
• First quartile (Q1): The median of the lower half (11, 11, 12). The median is 11.
• Median (Q2): The middle value. Since there are 7 values, the 4th value is 13.
• Third quartile (Q3): The median of the upper half (14, 15, 16). The median is 15.
• Maximum (max): 16

Step 2: Match the five - number summary to the box - plot

A box - plot has:

• Whisker from min to Q1.
• Box from Q1 to Q3, with a line at the median.
• Whisker from Q3 to max.

For the first box - plot (upper one):

• The left whisker starts around 11, the box starts around 11 - 12, the median line around 12, the box ends around 15, and the right whisker ends around 16. This would match our assumed data set.

For the second box - plot (lower one):

• The left whisker starts around 11, the box starts around 11 - 12, the median line around 14, the box ends around 15, and the right whisker ends around 16. This would not match our assumed data set with median 13.

So, if our data has a median closer to the left of the box (like in the first box - plot), the first box - plot is the answer.

Since we don't have the actual data, but based on typical box - plot interpretation, if we assume the data has a median that is in the left - half of the box (as in the first plot), the first box - plot (the upper one) represents the data.

Answer:

The upper box - plot (the first one shown) represents the data (assuming the data's five - number summary matches its quartile and median positions).