Worksheetsmath 1 unit 1 stats review
Total questions: 50
Worksheet time: 3600secs
Standard deviation describes what characteristic of a set of data?
The number of data values.
The expected data value.
The spread of the data values from the mean.
The range of the data values.
Jessie is comparing the prices of meals at two different restaurants. She makes a dot plot for each of the restaurants showing the cost for each meal on the dinner menu. Which restaurant offers meals at a larger variety of prices?
Restaurant A
Restaurant B
The variance is about the same.
Jessie is comparing the prices of meals at two different restaurants. She makes a dot plot for each of the restaurants showing the cost for each meal on the dinner menu. Which restaurant's data set would have a smaller standard deviation?
Restaurant A
Restaurant B
The variance is about the same.
The data set below gives the numbers of home runs for the 10 batters who hit the most home runs during the 2010 Major League Baseball regular season. Find the mean using the desmos calculator.
55, 59, 49, 58, 42, 56, 52, 48, 44, 49
5.8
51.2
5.5
49.6
A data set with a small standard deviation would have data values that are _____________________________________.
clustered closely around the mean.
spread out from the mean.
very high in value.
spread out from one another.
The greater the variability (spread) of the distribution, the _____________ the deviations from the mean.
smaller
closer
greater
more approximate
Which histogram would have a larger standard deviation?
Histogram A
Histogram C
They are about the same.
The middle half of the data for Red brick Grill has less variability than the middle half of the data from Sophie's cafe.
True
False. The middle half of the data for Red brick Grill has Greater variability than the middle half of the data from Sophie's cafe.
False. The middle half of the data for Red brick Grill has the same variability as the middle half of the data from Sophie's cafe.
This can not be determined from the box plots provided.
The median for Red Brick Grill is less than the median from Sophie's Cafe. The IQR for both restaurants is the same.
False. The median for Red Brick Grill is greater than the median from Sophie's Cafe. The IQR for both restaurants is the same.
False. The median for Red Brick Grill is equal to the median from Sophie's Cafe. The IQR for both restaurants is the same.
False. The median for Red Brick Grill is less than the median from Sophie's Cafe. The IQR for Red Brick Grill is less than the IQR for Sophie's Cafe
True
The Blue histogram has a lower variability than the purple histogram
False. The Blue is greater
False. They are the same
True
This can not be determined from the histograms provided.
The set of nine data points is provided.
Which statement is true if a tenth data point of 45 is added?
{ 8,11,12,10,9,7,5,3,9}
The mean and median will both increase.
The mean will increase and the median will decrease.
The mean will increase and the median will remain the same.
The mean and median will both decrease
Which would be the most appropriate measure of center?
Mean
Median
You can not determine with the information provided
Which would be the most appropriate measure of variability?
Standard Deviation
IQR
Can not be determined with the information provided
Each histogram has the same mean value. Which histogram would depict a greater standard deviation?
You can not determine with the information provided.
The dot plots show the gas mileage, in miles per gallon, for several cars and SUV's. Which type of vehicle has a larger spread?
cars
SUVs
When analyzing numerical data, the best measure of center with an outlier is:
mean
median
mode
range
When analyzing numerical data, the best measure of center with NO outlier is:
mean
median
mode
range
5,6,7,3,4,4,5,3,2,6
23, 34, 27, 7, 30, 26, 28, 31, 34
12, 13, 11, 16, 31, 14, 10, 15
What is the range?
10
12
15
2 - 12
Which class has the higher test score median?
Class #1
Class # 2
The medians are equal
The median is not shown here.
Which measure of variability should you use?
IQR
standard deviation
Which measure of center should you use?
mean
median
Which measure of variability should you use?
IQR
standard deviation
Which measure of variability should you use?
IQR
standard deviation
Which measure of center should you use?
mean
median
Which measure of center should you use?
mean
median
Which measure of variability should you use?
IQR
standard deviation
Find the first Quartile (Q1) of the following numbers: 84, 88, 72, 74, 98, 16, 94
72
88
94
There is no Lower Quartile.
Find the third Quartile (Q3) of the following numbers: 84, 88, 72, 74, 98, 16, 94
72
88
94
There is no Upper Quartile.
84, 88, 72, 74, 98, 16, 94
84, 88, 72, 74, 98, 16, 94
Find the median, first quartile, third quartile, and interquartile range of the data.
203, 183, 212, 181, 157, 204, 189, 190
Median: 189
First Quartile: 182
Third Quartile: 203
IQR: 21
Median: 189.5
First Quartile: 182
Third Quartile: 203
IQR: 21
Median: 189
First Quartile: 182
Third Quartile: 203.5
IQR: 21.5
Median: 189.5
First Quartile: 182
Third Quartile: 203.5
IQR: 21.5
Pick the definition of an outlier.
A value that lies outside of most other values in a data set.
A value that is the largest.
A value that is the smallest.
A value that occurs the most.
The two measures of center we've study this unit are...
Interquartile Range
Mean Absolute Deviation
Mean
Median
Standard Deviation
Which data set shows a greater spread (larger IQR)?
Chess Club
Checkers Club
They have the same spread.
You cannot tell from the box plots.
Which IQR shows the highest variability?
4
8
9
12
When you have a skewed distribution what should you use?
Mean
Median
MAD or Standard Deviation
IQR
If an outlier is added to a data set, how does this affect standard deviation?
increase
decrease
stay the same
both increase and decrease
It increases
It stays the same
It decreases
Which measure of central tendency DOES NOT change (or changes very little) while there is an outlier present
mean
the standard deviation
median
IQR
Which center and spread go together?
Mean & Median
Mean & standard deviation
median and standard deviation
Which center and spread go together?
median & IQR
median & mean
mean & IQR
What percent of the employees are under the age of 42?
25%
50%
75%
100%
What percent of the employees are under the age of 35?
25%
50%
75%
100%
What percent of the employees are under the age of 21?
25%
50%
75%
100%
What percent of people spent between $40 and $90 on groceries?
25
50
75
100
