Alonzo Odom
2022-07-17
Answered

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

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Kitamiliseakekw

Answered 2022-07-18
Author has **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,

$\text{Percentile}=(\frac{L}{N})\times 100$

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.

$\text{Percentile rank}=(\frac{L}{N})\times 100\phantom{\rule{0ex}{0ex}}=0.5882\times 100\phantom{\rule{0ex}{0ex}}\text{Percentile rank}=59$

59% of the numbers in the data set have values less than or equal to 116.

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,

$\text{Percentile}=(\frac{L}{N})\times 100$

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.

$\text{Percentile rank}=(\frac{L}{N})\times 100\phantom{\rule{0ex}{0ex}}=0.5882\times 100\phantom{\rule{0ex}{0ex}}\text{Percentile rank}=59$

59% of the numbers in the data set have values less than or equal to 116.

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