Descriptive Statistics

Descriptive Statistics

test review and study guide

Multiple Choice

Find the mean of these numbers:
5,11,2,12,4,2

• 4.1
• 6
• 4.5
• 4

Multiple Choice

Find the median.
12, 5, 9, 18, 22, 25, 5

• 9
• 8
• 12
• 18

Multiple Choice

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10

• 10
• 12
• 10 and 12
• No Mode

Multiple Select

Name 3 measures of central tendency

• Range

• Mode

• Median

• Standard deviation

• Mean

Multiple Choice

How do you find the median of a data set that has two middle numbers?

• You pick the higher middle number

• You pick the lower middle number

• Add the two middle numbers and divide it by 2

• Subtract the two middle numbers and divide by 2

Multiple Choice

The following table shows the annual salaries earned by employees of a small company. What is the median?

• 75,650

• 54,950

• 42,750

• 51,000

Multiple Choice

The following table shows the annual salaries earned by employees of a small company. What is the mean?

• 75,650

• 54,950

• 42,750

• 51,000

Multiple Choice

Which of the following best describes the shape of the distribution?

• SKEWED LEFT
• SKEWED RIGHT
• UNIFORM
• SYMMETRICAL

Multiple Choice

What is the shape of the distribution?

• Skewed Left 
• Skewed Right
• Symmetric
• Bimodal

Multiple Choice

What is the shape of the distribution?

• Skewed Left 
• Skewed Right
• Symmetric
• Bimodal

Multiple Choice

What is the shape of the data for Lucy's Steakhouse?

• Symmetrical
• Skewed Left
• Skewed Right

Multiple Choice

Which measure of central should be used if there is an outlier?

• Mean

• Mode

• Median

Multiple Choice

What is the IQR of the Cruisers?

• 4
• 6

Multiple Choice

Which of the following lists all parts of the five number summary?

• Mean, Median, Mode, Range, and Total
• Minimum, Quartile 1, Median, Quartile 3, and Maximum 
• Smallest, Q1, Q2, Q3, and Q4
• Minimum, Maximum, Range, Mean, and Median

Multiple Choice

What does a high standard deviation score indicate?

• A bigger variance showing inconsistent results in a condition

• A bigger variance showing participants have consistent results

Multiple Select

Name 2 measures of dispersion

• Range

• Mode

• Median

• Standard deviation

• Mean

Multiple Choice

Given a variance of 64, what is the standard deviation?

• 8

• 4096

• 0

• 6.8

Multiple Choice

What is the variance for the data given:
5, 10, 7, 12, 0, 20, 15, 22, 8, 2

• 47.47
• 102.01
• 52.77
• 81

Multiple Choice

The heights of some students are given.
158cm     172cm      164cm
164cm     167cm      159cm
 What is the range of the heights?

• 13 cm
• 330 cm
• 164 cm
• 14 cm

Multiple Choice

33, 25, 42, 25, 31, 37, 46, 29, 38

What is the Q3 of the data?

• 37

• 38

• 42

• 46

Multiple Choice

Which car club has the higher median?

• Cruisers
• Car Hops

Multiple Choice

Which is not part of the 5 number summary?

• median

• Q3

• Maximum

• mean

Multiple Choice

What percent of students have a height between 58 inches and 60 inches?

• 25%

• 50%

• 75%

• 100%

Multiple Choice

All of the below sets have the same mean.
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?

• 1
• 2
• 3
• 4

Multiple Choice

find the lower quartile of the following set of scores12, 9, 4, 6, 5, 8, 9, 4, 10, 2

• 10
• 4
• 9
• 6

Multiple Choice

Identify the outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34

• 7
• 23
• 31
• 34

Multiple Choice

A standardized test for determining entry to the placement in the math program at a school has an average score of 230 with a standard deviation of 25. The scale is as follows

at or below two deviations: intervention track

at or below one deviation: remedial track

within one standard deviation: normal track

at or above one deviation: advanced track

at or above two deviations: gifted track

If Joe scored a 276, what is his z-score and which track should he be placed in?

• 11.04 gifted track

• 1.84 advanced track

• 9.2 gifted track

• 1.84 gifted track

Multiple Choice

At a local University the nursing program brags that they are well above the state average for certification of their graduates. They have a 90% certification rate for their graduates. The state average is 85% with a standard deviation of 3%. Is the schools certification rate really that high.

• No, they are in the normal range

• They are clearly above most schools

• They are actually below the state average

• Yes

Multiple Choice

A data set has a mean of 290 and a standard deviation of 20. Calculate the z-score for 265.

• $z=250.5$

• $z=1.25$

• $z=-1.02$

• $z=-1.25$

Multiple Choice

What does it mean to have a z-score of  $z=0$  on a quiz?

• It means you did better than zero people.

• It means you scored the same grade as the average grade.

• It means you earned a zero on the quiz.

• It means the average score was a zero.

Multiple Choice

Steve took his math test and scored an 88. If the class average was a 78 with a standard deviation of 5, what percent of students earned a grade that was higher than Steve's grade?

• 97.5%

• 93%

• 5%

• 2.5%

Multiple Choice

What is the formula to find the z-score for population?

• z=X-M

• z=σ-M/μ

• ^z/M=μ

• z=X-μ/σ

Multiple Choice

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

• 2.26

• 16.45

• -2.26

• 1.26

Multiple Choice

Find the z-scores value corresponding if the location is above the mean by 1/2 standard deviations

• -0.50

• +1.00

• +0.50

• -1.00

Multiple Choice

What is the standard deviation for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

• 6.89

• 10.1

• 7.26

• 9

Multiple Choice

Find the z-score value corresponding if the location is below the mean by 2 standard deviations

• +2.00

• -2.00

• +1.25

• -1.00

Multiple Choice

The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean.

• True

• False

Multiple Choice

This data is normally distributed.  What percent of the data is in the shaded region?

• 68%
• 95%
• 99.7%
• 50%

Multiple Choice

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?

• 68%
• 99.7%
• 95%
• 84%

Multiple Choice

In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval? 

• 1084 to 1216 pounds 
• 1106 to 1150 pounds 
• 1106 to 1194 pounds 
• 1128 to 1172 pounds