Question

calculate the percentile of a specific value from a data set. theresa and her nine classmates took a standardized test. their scores were: 88, 49, 92, 47, 61, 94, 94, 76, 79, and 92. theresa received an 88 on the test. which percentile is she in? a.) the 90th b.) the 70th c.) the 60th d.) the 80th

Answer 1

Theresa's score of 88 lies in the 60th percentile of her class scores when ordered. This percentile was calculated by tallying the scores below hers, adding 0.5, dividing by the total number of scores, and multiplying by 100.

Step-by-step explanation:

To calculate the percentile of Theresa's score, we will first need to order the test scores from least to greatest. Doing so, the scores are: 47, 49, 61, 76, 79, 88, 92, 92, 94, 94. Theresa's score of 88 is the sixth score when the scores are ordered. This means there are five scores below her score and four scores above.

To find the percentile, we can use the following formula: Percentile rank = (number of scores below the score + 0.5) / total number of scores * 100. Plugging in the values for Theresa's score we get: (5 + 0.5) / 10 * 100 = 55%. However, this does not exactly match the options given.

In many cases, percentiles are rounded to the nearest whole number. Considering the options provided, the closest percentile rank to 55% is the 60th percentile. Therefore, Theresa is in the 60th percentile, which is Option C.