Statistical-Measures-

Which of the following is not a measure of center?


mean

variance

median

mode

Find the mean in the data set below.

{2, 2, 4, 4, 4, 5, 5, 6, 7, 8}


4

4.7

5

7.8

If the mean of the data set shown below is 16, what is the value of x?

{10, 12, x, 9, 18, 14, 20, 23, 25, 10}


19

16

3

15.7

For which data set is the mean, median, and mode the same?


{5, 6, 4, 4, 4, 6, 5, 6}

{11, 12, 15, 16, 13, 12, 12}

{100, 101, 105, 110, 109, 104, 105, 108, 103}

{4.3, 6.4, 2.9, 3.1, 8.7, 2.8, 3.6, 1.9, 7.2}

What is the mean of the numbers represented by x + 1, 3x – 2, and 2x – 5?


2x – 2

(6x – 7)/3

(x + 1)/3

x + 4

Find the population variance for the data set. Round to the nearest tenth.

{67, 91, 94, 89, 63, 67, 86, 67, 77, 95}


12.1

162.5

146.2

79.6

Find the population standard deviation of the data set. Round to the nearest tenth.

{20, 15, 32, 38, 27, 16, 21, 20, 34, 30, 40, 24, 23, 11, 40}


9.3

86.4

9.0

80.6

A teacher is comparing test grades for a unit test in her Algebra class. The mean of the scores is 78% with a standard deviation of 3.8. What range gives the set of values that are within two standard deviations of the mean?


74.2 – 81.8

70.4 – 85.6

74.2 – 85.6

70.4 – 81.8

Below is a list of the weights of Defensive tackles on the Chicago Bears NFL football team. Which measure of center best describes the data set?

{300 lbs, 296 lbs, 309 lbs, 295 lbs, 300 lbs, 288 lbs}


mean

median

mode

none of the above

The following data shows the amount of money students paid for textbooks at a college bookstore during the spring semester. What is the range of values that are within 1 standard deviation of the mean. Round to the nearest tenth.

{338, 160, 210, 180, 166, 272, 128, 409, 240, 250, 160, 300, 340, 200, 194, 132, 202, 180, 420, 380, 325, 185, 233, 198}


241.8 – 328.4

155.2 – 241.8

155.2 – 328.4

328.4 – 415