Summarizing numerical data sets

Practice Questions

HiSet: High School Equivalency Test: Math › Summarizing numerical data sets

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1

Consider the following data set:

$\left { 1, 3,3, 4, 5, 5, 6, 8, 9, x, x \right }$

where is an integer from 1 to 10 inclusive.

How many possible values of make 5 the median of the set?

2

Donna will take twelve tests in her biology class, worth one hundred points each. Her score for the term will be the arithmetic mean of the best ten.

She has taken eleven tests already; her scores, in order, are:

74, 79, 60, 77, 54, 80, 81, 60, 66, 68, 71

How high will Donna have to score on the twelfth test in order to get a "B" in the course, which is defined to be a mean of 80 points?

Note: Assume that no extra credit is given on any test.

3

Consider the data set

$\left { 10, 16, 16, 18, 21, 25, x, 2x \right }$ ,

where is a prime integer.

How many possible values of make the set bimodal?

4

Consider the following data set:

$\left { 1, 4, 5, 8, 8, 9, 10, 11, x, x \right }$

Which of the following gives the arithmetic mean of the set in terms of ?

5

Consider the following data set:

$\left { 1, 4, 5, 8, 8, 9, 10, 11, x, x \right }$

If , which is true of the mode or modes of the data set?

6

Consider the data set

$\left { 17, 21, 27, 29, 29, 29 ,35, 37, x, x \right }$ ,

where is a prime integer.

How many possible values of make the set bimodal?

7

Consider the following data set:

$\left { 4, 5, 5, 6, 8, 9, 10, 10, x \right }$

where is an integer from 1 to 10 inclusive.

How many possible values of make 8 the median of the set?

8

Consider the following data set:

$\left { 4, 5, 5, 6, 8, 9, 10, 10, x, x \right }$

where is an integer from 1 to 10 inclusive.

How many possible values of make the median of the set?

9

Consider the data set:

$\left { 12, 15, 17, 19, 19, 19, 22, 23, 23 \right }$

Which is true of the arithmetic mean $\mu$ , the median , and the midrange ?

10

Janice will take twelve tests in her political science class, worth one hundred points each. Her score for the term will be the arithmetic mean of the best ten.

She has taken eleven tests already; her scores, in order, are:

74, 79, 60, 77, 54, 80, 81, 60, 66, 68, 71

How high will Janice have to score on the twelfth test in order to get a "C" in the course, which is defined to be a mean of 70 points?

Note: Assume that no extra credit is given on any test.

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