Mathematics assessment test scores. According to the National Center for Education Statistics (2015), U.S. eighth-graders' scores on a mathematics assessment test have a mean of 282, the 25th percentile of 258, the 75th percentile of 308, and the 90th percentile of 329. Interpret each of these descriptive numerical measures.

Short Answer

Expert verified

The average score of the learners in mathematics is 283, which is obtained by adding all the scores and dividing by the total number of students.

Recognizing the notion of percentile.

When all marks are arranged in ascending order and afterward divided into 100 parts, one part equals one percentile.

When we say 25th percentile, we mean that 25 out of 100 parts have a score less than 259. In other words, the 25th percentile signifies that approximately 25% of students received a score less than as well as equitable to 259.

Step by step solution

01

Average score

The average score of the learners in mathematics is 283, which is obtained by adding all the scores and dividing by the total number of students.

Recognizing the notion of percentile.

When all marks are arranged in ascending order and afterward divided into 100 parts, one part equals one percentile.

When we say 25th percentile, we mean that 25 out of 100 parts have a score less than 259. In other words, the 25th percentile signifies that approximately 25% of students received a score less than as well as equitable to 259.

02

The figure is shown below

In this case, the 25th percentile shows that approximately 25% of the students received a score less than or equivalent to 259.

The 75th percentile indicates that 75% of students received a score of less than or equivalent to 308 points. Or 25% of learners received a score greater than 308.

Finally, the 90th percentile indicates that 90% of students scored less than as well as equal to 329. Alternatively, just 10% of pupils had a score higher than 329.

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Most popular questions from this chapter

Made-to-order delivery times.Refer to the data on delivery times for a made-to-order product, Exercise 2.34 (p. 87). The delivery times (in days) for a sample of 25 orders are repeated in the accompanying table. (Times marked by an asterisk are associated with customers who subsequently placed additional orders with the company.) Identify any unusual observations (outliers) in the data set, and then use the results to comment on the claim that repeat customers tend to have shorter delivery times than one-time customers.

50* 64* 56* 43* 64* 82* 65* 49* 32* 63* 44* 71 54* 51* 102 49* 73* 50* 39* 86 33* 95 59* 51* 68

Complete the following table on customer statistics.

Age of customer

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96

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48

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State

2010 Math SAT

2014 Math SAT

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510

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