suppose 240 nursing students took a certification test that is worth 140 points. the five number summary for the scores is shown here. about how many students had a score of 130 or less
min. value=68, Q1=110, median=125, Q3=130, max-value=138
0.75 * 240 = 180
http://www.regentsprep.org/regents/math/algebra/AD3/boxwhisk.htm
To determine how many students had a score of 130 or less, we need to consider the maximum value for Q3 (Third Quartile). Since the Q3 is 130, any student with a score of 130 or less would fall into this quartile.
From the given data, the maximum value is 138, which is not in Q3. However, the Q3 value is 130, which means all scores at or below 130 are included in Q3. Therefore, the number of students with a score of 130 or less is the same as the number of students in Q3.
Hence, about 240 * (1/4) = 60 students had a score of 130 or less.
To determine how many students had a score of 130 or less, we can examine the five-number summary you provided.
The five-number summary consists of the minimum value (68), the first quartile (Q1), the median, the third quartile (Q3), and the maximum value (138).
Based on this information, we know that Q3 (the third quartile) is 130. The third quartile is the point below which 75% of the scores fall. Therefore, 75% of the nursing students scored 130 or below.
To estimate the number of students, we can calculate 75% of the total number of students who took the test:
Number of students ≤ 130 = 75% of 240 students
Number of students ≤ 130 = 0.75 * 240
Number of students ≤ 130 = 180 students
Therefore, we can estimate that approximately 180 nursing students had a score of 130 or less.