Statistics Review

Multiple Choice
Identify the choice that best completes the statement or answers the question.

Find the mean, median, and mode of the data set. Round to the nearest tenth.

____	1.	test scores on a math exam:
88, 89, 65, 62, 83, 63, 84, 63, 74, 64, 71, 82, 66, 88, 79, 60, 86, 63, 93, 99, 60, 85
a. | mean = 75.8, median = 79.5, mode = 63 | b. | mean = 75.8, median = 76.5, mode = 63 | c. | mean = 69.5, median = 76.5, mode = 63 | d. | mean = 69.5, median = 76.5, mode = 79.5

____	2.	A set of data ____ has one and only one mode.
a. | always | b. | sometimes | c. | never

Make a box-and-whisker plot of the data.

____	3.	average daily temperatures in Tucson, Arizona, in December:
67, 57, 52, 51, 64, 58, 67, 58, 55, 59, 66, 50, 57, 62, 58, 50, 58, 50, 60, 63
a. |
b. |
c. |
d. |

Find the values of the 30th and 90th percentiles of the data.

____	4.	129, 113, 200, 100, 105, 132, 100, 176, 146, 152

a.

30th percentile = 105; 
90th percentile = 200

c.

30th percentile = 105; 
90th percentile = 176

b.

30th percentile = 113; 
90th percentile = 200

d.

30th percentile = 113; 
90th percentile = 176

Find the range and interquartile range of the data. Round to the nearest tenth.

____	5.	44, 45, 38, 8, 40, 35, 10, 55, 23, 36
a. | range = 37; interquartile range = 21 | c. | range = 37; interquartile range = 14
b. | range = 47; interquartile range = 14 | d. | range = 47; interquartile range = 21

Find the mean and standard deviation of the of data. Round to the nearest tenth.

____	6.	the height (in feet) of a sample of trees in the school playground:
12.5, 9.8, 13.5, 11.2, 12.3, 14.2, 11.7, 9.8, 12.6, 10.4

a.

mean = 11.8 ft; 
standard deviation = 1.43 ft

c.

mean = 11.8 ft; 
standard deviation = 4.52 ft

b.

mean = 13.1 ft; 
standard deviation = 1.43 ft

d.

mean = 13.1 ft; 
standard deviation = 4.52 ft

____	7.	A set of data has mean 66 and standard deviation 7. Find the z-score of the value 32.
a. | 0.4 | b. | 4.9 | c. | –34 | d. | –4.9

____	8.	In any data set, 68% of the data ____ falls within one standard deviation of the mean.
a. | always | b. | sometimes | c. | never

____	9.	A set of data with a mean of 56 and a standard deviation of 3.3 is normally distributed. Find the values that are 2 standard deviations from the mean.
a. | –6.6 and 62.6 | c. | –6.6 and 6.6
b. | 6.6 and 62.6 | d. | 49.4 and 62.6

____	10.	The scores on an exam are normally distributed, with a mean of 77 and a standard deviation of 10. What percent of the scores are greater than 87?
a. | 68% | b. | 16% | c. | 84% | d. | 2.5%

Statistics Review
Answer Section

MULTIPLE CHOICE

	1.	ANS:	B	PTS:	1	DIF:	L1	REF:	12-3 Analyzing Data
OBJ:	12-3.1 Measures of Central Tendency		
NAT:	NAEP D1b | NAEP D1d | NAEP D2a | CAT5.LV21/22.47 | CAT5.LV21/22.51 | CAT5.LV21/22.53 | IT.LV17/18.CP | IT.LV17/18.DI | IT.LV17/18.I | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.15 | TV.LV21/22.17 | TV.LV21/22.49 | TV.LVALG.53
TOP:	12-3 Example 2		KEY:	mean | median | mode	
MSC:	NAEP D1b | NAEP D1d | NAEP D2a | CAT5.LV21/22.47 | CAT5.LV21/22.51 | CAT5.LV21/22.53 | IT.LV17/18.CP | IT.LV17/18.DI | IT.LV17/18.I | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.15 | TV.LV21/22.17 | TV.LV21/22.49 | TV.LVALG.53

	2.	ANS:	B	PTS:	1	DIF:	L2	REF:	12-3 Analyzing Data
OBJ:	12-3.1 Measures of Central Tendency		
NAT:	NAEP D1b | NAEP D1d | NAEP D2a | CAT5.LV21/22.47 | CAT5.LV21/22.51 | CAT5.LV21/22.53 | IT.LV17/18.CP | IT.LV17/18.DI | IT.LV17/18.I | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.15 | TV.LV21/22.17 | TV.LV21/22.49 | TV.LVALG.53
KEY:	mode | reasoning | always sometimes never		
MSC:	NAEP D1b | NAEP D1d | NAEP D2a | CAT5.LV21/22.47 | CAT5.LV21/22.51 | CAT5.LV21/22.53 | IT.LV17/18.CP | IT.LV17/18.DI | IT.LV17/18.I | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.15 | TV.LV21/22.17 | TV.LV21/22.49 | TV.LVALG.53

	3.	ANS:	A	PTS:	1	DIF:	L1	REF:	12-3 Analyzing Data
OBJ:	12-3.2 Box-and-Whisker Plots	
NAT:	NAEP D1b | NAEP D1d | NAEP D2a | CAT5.LV21/22.47 | CAT5.LV21/22.51 | CAT5.LV21/22.53 | IT.LV17/18.CP | IT.LV17/18.DI | IT.LV17/18.I | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.15 | TV.LV21/22.17 | TV.LV21/22.49 | TV.LVALG.53
TOP:	12-3 Example 4		KEY:	median | quartile | box-and-whisker plot
MSC:	NAEP D1b | NAEP D1d | NAEP D2a | CAT5.LV21/22.47 | CAT5.LV21/22.51 | CAT5.LV21/22.53 | IT.LV17/18.CP | IT.LV17/18.DI | IT.LV17/18.I | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.15 | TV.LV21/22.17 | TV.LV21/22.49 | TV.LVALG.53

	4.	ANS:	B	PTS:	1	DIF:	L1	REF:	12-3 Analyzing Data
OBJ:	12-3.2 Box-and-Whisker Plots	
NAT:	NAEP D1b | NAEP D1d | NAEP D2a | CAT5.LV21/22.47 | CAT5.LV21/22.51 | CAT5.LV21/22.53 | IT.LV17/18.CP | IT.LV17/18.DI | IT.LV17/18.I | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.15 | TV.LV21/22.17 | TV.LV21/22.49 | TV.LVALG.53
TOP:	12-3 Example 5		KEY:	percentiles	
MSC:	NAEP D1b | NAEP D1d | NAEP D2a | CAT5.LV21/22.47 | CAT5.LV21/22.51 | CAT5.LV21/22.53 | IT.LV17/18.CP | IT.LV17/18.DI | IT.LV17/18.I | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.15 | TV.LV21/22.17 | TV.LV21/22.49 | TV.LVALG.53

	5.	ANS:	D	PTS:	1	DIF:	L1	REF:	12-4 Standard Deviation
OBJ:	12-4.1 Finding Standard Deviation	
NAT:	NAEP D2a | NAEP D2d | CAT5.LV21/22.51 | CAT5.LV21/22.53 | IT.LV17/18.CP | IT.LV17/18.DI | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.12 | TV.LV21/22.15 | TV.LVALG.53	TOP:	12-4 Example 1	
KEY:	range | interquartile range	
MSC:	NAEP D2a | NAEP D2d | CAT5.LV21/22.51 | CAT5.LV21/22.53 | IT.LV17/18.CP | IT.LV17/18.DI | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.12 | TV.LV21/22.15 | TV.LVALG.53

	6.	ANS:	A	PTS:	1	DIF:	L1	REF:	12-4 Standard Deviation
OBJ:	12-4.1 Finding Standard Deviation	
NAT:	NAEP D2a | NAEP D2d | CAT5.LV21/22.51 | CAT5.LV21/22.53 | IT.LV17/18.CP | IT.LV17/18.DI | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.12 | TV.LV21/22.15 | TV.LVALG.53	TOP:	12-4 Example 3	
KEY:	mean | standard deviation	
MSC:	NAEP D2a | NAEP D2d | CAT5.LV21/22.51 | CAT5.LV21/22.53 | IT.LV17/18.CP | IT.LV17/18.DI | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.12 | TV.LV21/22.15 | TV.LVALG.53

	7.	ANS:	D	PTS:	1	DIF:	L1	REF:	12-4 Standard Deviation
OBJ:	12-4.2 Using Standard Deviation	
NAT:	NAEP D2a | NAEP D2d | CAT5.LV21/22.51 | CAT5.LV21/22.53 | IT.LV17/18.CP | IT.LV17/18.DI | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.12 | TV.LV21/22.15 | TV.LVALG.53	TOP:	12-4 Example 5	
KEY:	standard deviation | z-score	
MSC:	NAEP D2a | NAEP D2d | CAT5.LV21/22.51 | CAT5.LV21/22.53 | IT.LV17/18.CP | IT.LV17/18.DI | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.12 | TV.LV21/22.15 | TV.LVALG.53

	8.	ANS:	B	PTS:	1	DIF:	L2	REF:	12-7 Normal Distributions
OBJ:	12-7.2 Using the Standard Normal Curve		
NAT:	NAEP D2f | CAT5.LV21/22.48 | CAT5.LV21/22.53 | IT.LV17/18.DI | IT.LV17/18.DP | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.15 | TV.LV21/22.17 | TV.LV21/22.50 | TV.LVALG.53		
KEY:	standard deviation | mean | reasoning | always sometimes never	
MSC:	NAEP D2f | CAT5.LV21/22.48 | CAT5.LV21/22.53 | IT.LV17/18.DI | IT.LV17/18.DP | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.15 | TV.LV21/22.17 | TV.LV21/22.50 | TV.LVALG.53	

	9.	ANS:	D	PTS:	1	DIF:	L1	REF:	12-7 Normal Distributions
OBJ:	12-7.2 Using the Standard Normal Curve		
NAT:	NAEP D2f | CAT5.LV21/22.48 | CAT5.LV21/22.53 | IT.LV17/18.DI | IT.LV17/18.DP | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.15 | TV.LV21/22.17 | TV.LV21/22.50 | TV.LVALG.53		TOP:	12-7 Example 3
KEY:	mean | standard normal curve | standard deviation	
MSC:	NAEP D2f | CAT5.LV21/22.48 | CAT5.LV21/22.53 | IT.LV17/18.DI | IT.LV17/18.DP | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.15 | TV.LV21/22.17 | TV.LV21/22.50 | TV.LVALG.53	

	10.	ANS:	B	PTS:	1	DIF:	L1	REF:	12-7 Normal Distributions
OBJ:	12-7.2 Using the Standard Normal Curve		
NAT:	NAEP D2f | CAT5.LV21/22.48 | CAT5.LV21/22.53 | IT.LV17/18.DI | IT.LV17/18.DP | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.15 | TV.LV21/22.17 | TV.LV21/22.50 | TV.LVALG.53		TOP:	12-7 Example 4
KEY:	mean | standard normal curve | standard deviation	
MSC:	NAEP D2f | CAT5.LV21/22.48 | CAT5.LV21/22.53 | IT.LV17/18.DI | IT.LV17/18.DP | IT.LV17/18.PS | S9.TSK3.DSP | S9.TSK3.NS | S10.TSK3.DSP | S10.TSK3.NS | TV.LV21/22.15 | TV.LV21/22.17 | TV.LV21/22.50 | TV.LVALG.53