High School

Which numbers are outliers among the following scores: 15, 73, 77, 79, 81, 88, 89, 94, 98, 98, 193?

A. 15 and 193
B. 73 and 193
C. 193
D. 15

Answer :

Final answer:

The outliers among the given scores are 15 and 193.

Explanation:

The outliers among the given scores are 15 and 193.

To identify outliers, we can use the 1.5 * IQR rule. First, we need to find the IQR (interquartile range) which is the difference between the third quartile (Q3) and the first quartile (Q1). Q1 is the median of the lower half of the data set and Q3 is the median of the upper half of the data set.

After finding Q1 and Q3, we can calculate the IQR as IQR = Q3 - Q1, and since Q1 = 77 and Q3 = 98, the IQR = 98 - 77 = 21.

Using the 1.5 * IQR rule, any value that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier. In this case, 15 is less than Q1 - 1.5 * IQR and 193 is greater than Q3 + 1.5 * IQR, so they are the outliers.

Learn more about outliers here:

https://brainly.com/question/27353809

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