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# Basic number statistics

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1) The students of Hugh Logan's math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score.

552 593 358 352 537
349 357 596 470 482

2) The salaries of ten randomly selected physicians are shown below. Find the median salary.

\$105,000 \$149,000 \$163,000 \$214,000 \$225,000
\$116,000 \$111,000 \$791,000 \$240,000 \$178,000

3) Find the mode(s) for the given sample data.

20, 43, 46, 43, 49, 43, 49

4) The mathematics SAT scores of the seven students in a mathematics seminar are 533, 553, 578, 586, 619, 626, and 633. Suppose that the student with the score of 533 drops the seminar and is replaced by a student with a score of 765. What will happen to the mean and the median scores of the class? Explain.

5) Suppose there are 400 students in your school class. What class rank is the 20th percentile?

6)

Look at the above distribution. What type is it and why?

6) What is the range and standard deviation for the following data:

2, 6, 15, 9, 11, 22, 1, 4, 8, 19

7) Use the following data to figure determine 1) the five number summary and 2) create a boxplot.

2.5, 3.3, 4.2, 5.9, 6.8, 7.2, 7.7, 8.5, 9.2, 9.9, 10.5

https://brainmass.com/statistics/descriptive-statistics/basic-number-statistics-624140

#### Solution Preview

Please see attached file and let me know if you have any questions.

1) The students of Hugh Logan's math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score.

552 593 358 352 537
349 357 596 470 482
Mean = (552+593+...+482)/10 = 465

2) The salaries of ten randomly selected physicians are shown below. Find the median salary.

\$105,000 \$149,000 \$163,000 \$214,000 \$225,000
\$116,000 \$111,000 \$791,000 \$240,000 \$178,000
Median is the middle number when you order the entries from smallest to largest; in this case since there is an even number of entries, it is the average of the two middle ones: (\$163,000+\$178,000)/2 = \$170,500

3) Find the mode(s) for the given sample data.

20, 43, 46, 43, 49, 43, 49
Mode is the most frequently recurring number, in this case ...

#### Solution Summary

Basic number statistics like five number summary with associated boxplot.

\$2.19