The following data set is the GPAs of the students in a statistics class.
1.93, 1.99, 2.00, 2.04, 2.12, 2.34, 2.55, 2.55, 2.75, 2.75,
2.80, 2.80, 2.85, 3.02, 3.12, 3.22, 3.31, 3.33, 3.45, 3.69
What percentile is a GPA of 2.34?
A. About the 6th
B. About the 15th
C. About the 30th
D. About the 60th
is it A
Thats what I chose on my test and they marked it wrong
It is actually C - 30th
To determine the percentile of a GPA of 2.34 in the given data set, we can use the following steps:
Step 1: Order the data set in ascending order:
1.93, 1.99, 2.00, 2.04, 2.12, 2.34, 2.55, 2.55, 2.75, 2.75, 2.80, 2.80, 2.85, 3.02, 3.12, 3.22, 3.31, 3.33, 3.45, 3.69
Step 2: Count the number of data points below the given GPA (2.34 in this case).
In the given data set, there are 5 data points below 2.34.
Step 3: Calculate the percentile using the formula:
Percentile = (Number of data points below the given value / Total number of data points) * 100
In this case,
Percentile = (5 / 20) * 100 = 25
Therefore, the GPA of 2.34 is approximately at the 25th percentile.
Answer: C. About the 30th
To determine the percentile of a GPA of 2.34 in the given data set, you can follow these steps:
1. Arrange the data set in ascending order:
1.93, 1.99, 2.00, 2.04, 2.12, 2.34, 2.55, 2.55, 2.75, 2.75,
2.80, 2.80, 2.85, 3.02, 3.12, 3.22, 3.31, 3.33, 3.45, 3.69
2. Count the total number of data points. In this case, there are 20 data points.
3. Calculate the rank of the GPA by counting the number of data points below it. In this case, there are 5 data points (1.93, 1.99, 2.00, 2.04, 2.12) below the GPA of 2.34.
4. Use the formula [(rank / total number of data points) * 100] to calculate the percentile. In this case, [(5/20) * 100] = 25%.
Therefore, a GPA of 2.34 is approximately in the 25th percentile.
So the correct option is not A (about the 6th), but option B (about the 15th) is also not correct, C (about the 30th) and D (about the 60th) are incorrect.