Question

A soccer coach recorded how many hours, rounded to the nearest hour each of 12 soccer players practiced for last week The box and whisker plot that descubes the ata is displayed

below the first quartile of the data was 75 which statement must be true?
105
12
Exactly 9 of the 12 soccer players prachoed for between 7 and 8 hours last week
Exactly 9 of the 12 soccer players practiced for at least 7 5 hours last week
Exactty 3 of the 12 soccer players practiced for between 7 and 8 hours last week
Exactly 3 of the 12 soccer players practiced for at least 7 5 hours last week​

Answer 1

The correct option is;

Exactly 3 of the 12 soccer players practiced for at least 75 hours last week,

Explanation:

The given information are;

The number of soccer players that practiced = 12 soccer players

The first quartile of the data of the recorded number of hours each soccer player practiced = 75

Therefore, given that that there are 12 soccer players, the number of data points = 12

The value of the 1st quartile is the value of the (n + 1)/4th term

When n = 12, we have;

The 12th quartile = (12 + 1)/4 = 3.25 th term with the values arranged in increasing order;

Therefore, the first quarter has the values for the first 3 players, with the lower practiced hour recorded while the recorded time for the remaining 9 players come after the first quartile;

The correct option is therefore that it must be true that exactly 3 (since we do not represent a player with the remaining fraction of 0.25 in 3.25) of the 12 soccer players practiced for at least 75 hours last week.