Question

Obtain the five-number summary for the given data. The test scores of 15 students are listed below.

a. Minimum: 40
b. First Quartile (Q1): ____
c. Median (Q2): ____
d. Third Quartile (Q3): ____
e. Maximum: 95

Answer 1

To find the first quartile, median, and third quartile of the given test scores data, calculate the median of the lower half, the value of the middle score, and the median of the upper half, respectively.

Step-by-step explanation:

The five-number summary for the given test scores data can be calculated as follows:

1. Minimum: 40
2. First Quartile (Q1): ___
3. Median (Q2): ___
4. Third Quartile (Q3): ___
5. Maximum: 95

To find the first quartile (Q1), we need to find the median of the lower half of the data. In this case, the lower half of the data consists of the scores from the minimum value (40) to the median (Q2). To find the median (Q2), we take the value of the middle score. Finally, to find the third quartile (Q3), we need to find the median of the upper half of the data. In this case, the upper half of the data consists of the scores from the median (Q2) to the maximum value (95).