a track - and - field coach recorded the length of each students standing long jump. the data is summarized…

a track - and - field coach recorded the length of each students standing long jump. the data is summarized in the box plot. standing long jumps box - plot image not included in ocr text feet choose all of the statements that can be concluded from this data. a. the median jump length is 5 feet, which is the average length of a standing long jump for the students represented in the box plot. b. the median jump length is 5 feet, which is the length of the middle students long jump if the students were ordered by the length of their long jump. c. the interquartile range of the long jumps is 4 feet, which means that about half of the students long jumps are within 4 feet of the median. d. the interquartile range of the long jumps is 4 feet, which means that about half of the students long jumps are within 2 feet of the median.

a track - and - field coach recorded the length of each students standing long jump. the data is summarized in the box plot. standing long jumps box - plot image not included in ocr text feet choose all of the statements that can be concluded from this data. a. the median jump length is 5 feet, which is the average length of a standing long jump for the students represented in the box plot. b. the median jump length is 5 feet, which is the length of the middle students long jump if the students were ordered by the length of their long jump. c. the interquartile range of the long jumps is 4 feet, which means that about half of the students long jumps are within 4 feet of the median. d. the interquartile range of the long jumps is 4 feet, which means that about half of the students long jumps are within 2 feet of the median.

Answer

Explanation:

Step1: Recall median concept

Median is middle - value when data is ordered. In box - plot, vertical line inside box is median. Here, median is 5 feet. It represents length of middle student's long jump when students are ordered by long - jump length, not average. So, statement A is wrong and statement B is correct.

Step2: Recall interquartile range (IQR) concept

IQR is difference between third quartile ($Q_3$) and first quartile ($Q_1$). If IQR = 4 feet, it means the range of middle 50% of data (from $Q_1$ to $Q_3$). It doesn't mean values are within a certain number of feet from median in the way described in C and D. The IQR is the spread of the middle 50% of the data, not a measure of distance from the median in that sense. So, statements C and D are wrong.

Answer:

B. The median jump length is 5 feet, which is the length of the middle student's long jump if the students were ordered by the length of their long jump.