Question

Calculate the percentile of a specific value from a data set.

Alex scored ten standardized tests with scores of:

84, 56, 71, 68, 94, 56, 92, 79, 85, and 90.

Which standardized test score represents the 70th percentile?

a.)85
b.)90
c.)92
d.)79

Answer 1

The 70th percentile from Alex's ordered test scores (56, 56, 68, 71, 79, 84, 85, 90, 92, 94) is the 7th score because 70% of 10 is 7. Thus, the 70th percentile is a score of 85.Option A is the correct answer.

Step-by-step explanation:

To calculate the 70th percentile from a given data set of Alex's test scores, we first need to arrange his test scores in ascending order: 56, 56, 68, 71, 79, 84, 85, 90, 92, 94. Since there are 10 data points, the 70th percentile will be between the 7th and 8th score when ordered.

70% of 10 scores is 7.0, which indicates the 7th score in the ordered list. Sometimes, one might need to interpolate between the 7th and 8th score, but since 7 is a whole number, we will use the 7th score directly as the 70th percentile value. The seventh score when the test scores are ordered is 85.

Therefore, the score that represents the 70th percentile is option a.) 85.