A test has a total score out of 150. The results achieved by the class of 17 students are listed. Calculate the percentile rank of a score of 116. Round to the nearest percent. 112, 98, 72, 77, 86, 116, 59, 103, 116, 132, 146, 125, 119, 108, 96, 122, 134

Alonzo Odom

Alonzo Odom

Answered question

2022-07-17

A test has a total score out of 150. The results achieved by the class of 17 students are listed. Calculate the percentile rank of a score of 116. Round to the nearest percent. 112, 98, 72, 77, 86, 116, 59, 103, 116, 132, 146, 125, 119, 108, 96, 122, 134

Answer & Explanation

Kitamiliseakekw

Kitamiliseakekw

Beginner2022-07-18Added 23 answers

Given
122,98,72,77,86,116,59,103,116,132,146,125,119,108,96,122,134
To calculate percentile rank of a score 116:
Arranging the data in ascending order,
59,72,77,86,96,98,103,108,116,116,119,122,122,125,132,134,146
Percentile rank formula is given by,
Percentile = ( L N ) × 100
Where L is the number of data values that are less than or equal to 116, and N is the size of the data set.
Total number of observations, N= 17
Of these 17 data values, 10 are less than or equal to the data values.
Percentile rank = ( L N ) × 100 = 0.5882 × 100 Percentile rank = 59
59% of the numbers in the data set have values less than or equal to 116.

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