Math 1 Unit 6 Statistics Day 2

Math 1 Unit 6 Day 2

by Darla Jones

​Vocabulary

​Standard Deviation- average distance from the center

​

​Shape- skew left, skew right, normal (bell, uniform, symmetric)

​

​Center- mean, median, mode

​

​Spread- IQR, range, standard deviation

​With Desmos!

​Enter data- A=[2,3,4,5,6,7,4,5,3,6,7,2,8,9] (must use a letter (not e or x), =, and [ ])

​Go to next empty cell

Click Desmos keyboard

​Click Functions

​Scroll to Statistics

​Click stdev and enter your capital letter in the parentheses (stdev (A))

Multiple Choice

Which statement is true based on the box plots?

• Plot 2 has a larger spread than plot 1.

• Plot 1 and plot 2 have a center score of 60.

• Plot 1 has a minimum of 30 and plot 2 has a maximum score of 75.

• Plot 2 has a larger IQR than plot 1.

Multiple Choice

What does this symbol represent?

• Standard Deviation

• Variance

• Mean Absolute Deviation

• Sigma

Multiple Choice

What is the standard deviation for the data given:

{12, 13, 29, 18, 61, 35, 21}

• 293.67

• 15.87

• 17.14

• 41.98

Multiple Choice

List each set of data by color from the lowest standard deviation to the highest standard deviation.

• blue, green, pink, red

• red, pink, green, blue

• pink, green, red, blue

• blue, green, red, pink

Multiple Choice

Look at each data set's standard deviation.

Set 1: 15.9

Set 2: 14.64

Set 3: 17.88

Which set of data has values that are closer in relation to the mean value of the data?

• Set 1

• Set 2

• Set 3

• Not enough information is provided

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

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

What is the mean?

• # happening the most
• the number in the middle
• biggest-smallest
• the average

Shape of data: Normal

• Most of the data is in the center of the graph

Shape of the data: Skewed Left

• There is very little data on the left side of the graph

Shape of the data: Skewed Right

• There is very little data on the right side of the graph

Multiple Choice

What is the shape of the graph?

• Normal

• Left Skew

• Right Skew

Multiple Choice

What is the shape of the graph?

• Normal

• Left Skew

• Right Skew

Multiple Choice

What is the shape of the graph?

• Normal

• Left Skew

• Right Skew

Multiple Choice

A data set can have more than one median?

• True
• False

Multiple Choice

What is the range?

• average
• biggest-smallest
• the middle #
• # happening the most

Multiple Choice

It is possible to have three numbers in the middle of a data set.

• True
• False

Multiple Choice

Given the set of data below, what would be the most meaningful measure?
1, 1, 1, 1, 1, 1, 1, 1, 1, 21

• Mean
• Median
• Mode
• Range

Multiple Choice

A  number that is either MUCH larger or MUCH smaller than the rest of the numbers is a(n)

• outlier
• the range

• average

• constant

Multiple Choice

If you have two numbers in the middle, you should

• add them together and divide by two
• find the number in between the two
• find the mean of the two numbers
• all of these

Multiple Choice

If a number that is close to the mean value is added to the set , how does this affect standard deviation?

• increase
• decrease
• stay the same
• both increase and decrease

Multiple Choice

If a number that is in the middle of the data is added to the set , how does this affect the range?

• increase
• decrease
• stay the same
• both increase and decrease

Multiple Choice

If 10 is added to every value in a set of data, what will happen to the value of the median?

• it will increase by 10
• it will decrease by 10
• it will stay the same
• it will both increase and decrease

Multiple Choice

Which of the following is a measure of variability?

• mean
• median
• mode
• standard deviation

Multiple Choice

What is the shape of the data shown?

• Skewed left

• Skewed Right

• Symmetric

• Bell shaped

Multiple Choice

When the majority of data values fall to the right of the mean the distribution is said to be:

• Left/Negatively Skewed
• Positively/Right Skewed

Multiple Choice

When the majority of the data values fall to the left of the mean, a distribution is said to be

• Negatively/Left Skewed
• Positively/Right Skewed

Multiple Choice

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

Multiple Choice

An indication of a data display that shows where the data is at its highest point is a...?

• cluster

• gap

• peak

• outlier

Multiple Choice

The numbers of runs scored by a softball team in 20 games are given.
 3, 4, 8, 12, 7, 5, 4, 12, 3, 9, 11, 4, 14, 8, 2, 10, 3, 10, 9, 7
What is the Interquartile Range.

• IQR = 6
• IQR = 10
• IQR = 7.5
• IQR = 12

Multiple Choice

Quartiles are values that divide a data set into four equal parts.

• True
• False

Multiple Choice

1-  The first quartile (Q 1) is the median of the lower half of the set.
2-  The second quartile (Q 2) is the median of the whole set .
3-  The third quartile (Q 3) is the median of the upper half of the set.

• All three statements are true.
• Only the 1st statement is true.
• Only the 2nd and the 3rd statements are true.
• Only the 3rd statement is true.

Multiple Choice

The interquartile range (IQR) of a data set is the difference between the third and first quartiles. It represents the range of the middle half of the data.

• True
• False

Multiple Choice

Given the data: 21, 31, 26, 24, 28, 26 This is a 2 part question:

Part-1: What is the mean of the data?

• 24
• 25
• 26
• 27

Multiple Choice

Given the data: {21, 31, 26, 24, 28, 26} This is a 2 part question:

Part-2: Find the standard deviation of the data

• S.D. ≈ 9.67
• S.D. ≈ 26
• S.D. ≈ 3.4

• S.D. ≈ 10

Multiple Choice

• 13.6
• 2.2
• 15.8
• 68.2

Multiple Select

Which distribution has a GREATER measure of center?

• A

• B

Multiple Select

Which distribution has a GREATER measure of variability?

• A

• B

Multiple Choice

The box-and-whisker plots below show the scores earned by 6^th and 7^th graders on a year-end reading test.  

Which statement is best supported by the box-and-whisker plots?

• The range of the 7^th grade scores is greater than the range of the 6^th grade scores.

• The median of the 6^th grade scores is greater than the median of the 7^th grade scores.

• The mean of the 7^th grade scores is less than the mean of the 6^th grade scores.

• The number of 6^th graders who took the test is greater than the number of 7^th graders who took the test.

Multiple Select

The box and whisker plots below, illustrate the scores earned by 2 biology classes on a recent test.               

Select all statements that are supported by the plots above.

 

• The range of the 3^rd period scores is less than the range of the 5^th period scores.

• The median of the 5^th period scores is greater than the median of the 3^rd period scores.

• The number of students who took the test is larger in the 5^th period class than in the 3^rd period class.

• The interquartile range is the same for both classes.

• The 3^rd period class has a higher median but has a lower range than the 5^th period class.

Multiple Choice

Given the following distributions, which has the highest median?

• Red

• Purple

• Black

Multiple Choice

Given the following distributions, which is symmetric?

• Red

• Purple

• Black

Multiple Choice

What conclusion can you draw about how much time seventh and eighth graders spend reading each week?

• All seventh graders read more than eighth graders.

• On average, seventh graders read more than eighth graders.

• The people who read the most are all in eighth grade.

• There is not enough information in a box plot to draw any conclusions.