What is the five-number summary for this set of test scores?

The minimum is 74.

The value for Q1 is 86.
The median of the dataset is 90.
The value for Q3 is 95.
The maximum of the dataset is 99.

86 and 95 are not correct

I apologize for the incorrect answer. Let me recalculate the five-number summary for this set of test scores.

To find the five-number summary, we need to arrange the numbers in ascending order:
74, 84, 86, 89, 90, 93, 95, 97, 99

The minimum is 74.
To find Q1 (the lower quartile), we locate the median of the lower half of the data. The lower half is 74, 84, 86, and 89. The median of this set is (84+86)/2 = 85.
The median of the dataset is 90.
To find Q3 (the upper quartile), we locate the median of the upper half of the data. The upper half is 93, 95, 97, and 99. The median of this set is (95+97)/2 = 96.
The maximum is 99.

With this calculation, the five-number summary for this set of test scores is:
Minimum: 74
Q1: 85
Median: 90
Q3: 96
Maximum: 99