High School

Sort the data by the following criteria:

1. **x1 in descending order**
2. **x2 in descending order**
3. **x3 in ascending order**

After sorting the variables simultaneously, what is the first observation for x1, x2, and x3?

A. x1: 25, x2: 18, x3: 3
B. x1: 18, x2: 25, x3: 3
C. x1: 25, x2: 3, x3: 18
D. x1: 18, x2: 3, x3: 25

Answer :

Final answer:

To sort the given variables x1, x2, and x3 in the specified order, the first observation would be x1: 18, x2: 3, and x3: 25.

Explanation:

To sort the variables x1, x2, and x3, we need to follow the given criteria:

  1. Sort by x1 in descending order.
  2. For variables with the same x1 value, sort by x2 in descending order.
  3. For variables with the same x1 and x2 values, sort by x3 in ascending order.

According to the options provided, the correct answer would be d. x1: 18, x2: 3, x3: 25. This is because we start with the largest x1 value, 25, then move to the next criteria, which is x2 in descending order, where 18 is the largest. Finally, for the variables with the same x1 and x2 values, we sort x3 in ascending order, giving us 25 as the first observation.

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