Use the data set {-100, -99, -98, ........-2, -1} to answer the following question.

The data set has a first quartile of?

First quartile involves the lowest 25% of the scores.

To find the first quartile (Q1) of a dataset, you need to divide the dataset into four equal parts. Since it is an ordered dataset, you can directly take the value at the 25th percentile.

In this case, the dataset is {-100, -99, -98, ..., -2, -1}. Let's calculate the index for the 25th percentile:

Step 1: Calculate the total number of elements in the dataset:
Total elements = (-1 - (-100)) + 1 = 100

Step 2: Calculate the index of the 25th percentile:
Index = (25/100) * 100 = 25

Step 3: Identify the value at the 25th index in the dataset:
The value at the 25th index is -76.

Therefore, the first quartile (Q1) for the given dataset is -76.