A class of eleven people received the test scores shown below, sorted by score.
32 51 69 73 74 75 82 89 93 98 100
What is the value of the lower (first) quartile?
To find the lower quartile, we need to find the median of the lower half of the data set.
There are 11 people in the class, so the median would be the average of the 5th and 6th values.
The 5th value is 75 and the 6th value is 82.
Therefore, the lower quartile is the median of 75 and 82, which is (75 + 82) / 2 = 77.5.
So, the value of the lower quartile is 77.5.