GRADED: Standard Statistics Study Guide

Standard Statistics Study Guide

A statistical question....

• Requires you to gather data

• Is not a yes or no question

• One that can be answered by collecting multiple data and where there will be variability in that data.

Multiple Choice

Is the following question statistical or non statistical?
On average, how many water bottles does every class go through daily?

• Statistical
• Non Statistical

Multiple Choice

Is the following question statistical or non statistical?
How many cars are in the parking lot?

• Statsitical
• Non Statistical

Multiple Choice

A hospital wants to conduct a survey to find out what patients think about the quality of medical services provided by its doctors and staff. Which of these would be the population in this survey?

• the entire staff in the hospital

• all of the patients in the cardiology wing of the hospital

• all the doctors who treat patients in the hospital

• all the patients in the entire hospital

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MAIN ISSUE: make sure that you put the same

“unit” in the same place for both ratios

A factory can make 20 toasters in a
half-hour (0.5 hrs) How many
toasters can the factory make in 6.5
hours?

Proportion Word Problems

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Step 1: Identify the two things being compared

Word Problems

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Step 2: set up the ratio that you know (all

information is given)

Word Problems

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Step 3: Identify what you are being asked to find.

Word Problems

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Step 4: Identify what information you are give about

the unknown.

Word Problems

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Step 5: set up and solve the proportion

A factory can make 20 toasters in a
half-hour (0.5 hrs) How many
toasters can the factory make in 6.5
hours?

Proportion Word Problems

Math Response

A factory can make 20 toasters in a
half-hour (0.5 hrs) How many
toasters can the factory make in 6.5
hours?

Type answer here

Correct Answer: 260

Deg^°

Rad

Math Response

Danielle used 8 centimeters of tape to wrap 4 presents. How many presents did Danielle wrap if she used 30 centimeters of tape?

Type answer here

Correct Answer: 15

Deg^°

Rad

Math Response

Harold took a total of 8 quizzes over the course of 2 weeks. How many weeks of school will Harold have to attend this quarter before he will have taken a total of 20 quizzes?

Type answer here

Correct Answer: 5

Deg^°

Rad

Math Response

A car travels 320 miles in 7.5 hours. If the car continues at the same rate, how far will it travel in 12 hours?

Type answer here

Correct Answer: 512

Deg^°

Rad

Parts of a Box Plot

• Min – Minimum: Smallest number of the Data Set

• Q1 – Lower Quartile:  The median of the lower half of the data

• Q2 – Median:   Middle number of the set of data

• Q3 – Upper Quartile:  The median of the upper half of the data

• Max – Maximum:  Largest number in the data set

• Interquartile Range (IQR): Q3 – Q1

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Multiple Choice

What is the Median (Q2) of this Box Plot?

• 80

• 82

• 81.5

Fill in the Blanks

Multiple Choice

Find the Interquartile Range (range of the "box") for this Box Plot. (Hint: Q3 - Q1)

• 92 - 77 = 15

• 77 - 92 = -15

• 92 + 77 = 169

• 92 - 77 = 25

Comparing 2 Box Plots

Multiple Choice

What is the interquartile range for the Checkers Club?

• 4
• 5
• 10
• 11

Multiple Choice

Which data set shows a greater spread?

• Chess Club
• Checkers Club
• They have the same spread.
• You cannot tell from the box plots. 

Multiple Choice

Which car club has the higher median?

• Cruisers
• Car Hops

Multiple Choice

Which car has the biggest maximum jump?

• Car A

• Car B

Multiple Choice

Which has a greater interquartile range?

• Airplane A

• Airplane B

• Both the same

Multiple Choice

Which statement is true?

• Airplane A has a lesser median

• Airplane B has a greater range

• Airplane A has a less predictable flight length

• Airplane B a lesser IQR

Multiple Choice

• The range of the data for Fun Fit is less than the range of the data for Greg’s Gym.

• The median for Greg’s Gym is less than the median for Fun Fit.

• The minimum attendance for Fun Fit is less than the minimum attendance for Greg’s Gym.

• The interquartile range for Greg’s Gym is greater than the interquartile range for Fun Fit.

​MEAN

​To find the mean, add up all of the numbers, and then divide them by the total of numbers.

​

​[2,10, 4, 16, 8, 8]

​2 + 10 + 4 + 16 + 8 + 8 = 48

​48 ÷ 6= 8

​The mean is 8

Multiple Choice

[9, 10, 1, 10, 15]

Find The Mean of this number set.

• 45

• 5

• 9

• 8

Multiple Choice

[5, 2, 8]

Find the Mean of this number set.

• 5

• 10

• 15

• 20

MEDIAN

​To find the median of a number set, you must find what number is in the middle of the number set. You can find this by seeing the equal amount of numbers on both sides.

​

​[3,7,8,2,4,3,2,5,0]

​

​The Median is 4

Multiple Choice

[6,8,0,8,9]

Find The Median of this number set.

• 9

• 8

• 0

• 6

Multiple Choice

[5,8,0,7,1,7,6,3,3]

Find the Median of this number set.

• 0

• 8

• 5

• 1

​Mode

​Mode is the number that is more repeated in the number set. You can see the mode when you see that a number is shown a lot of times in the number set.

​

​[4,0,8,9,4,8,9,1,4,11]

​

​The Mode is 4

Multiple Choice

[9, π, 0, 2, π, 8, 9, π, 3]

Find the Mode of this number set

• 3

• 9

• π

• 2

Multiple Choice

[9, 9, 0, 3, 8, 2, 2, 5, 3,6, 2, 9, 9, 8, 0, 9]

Find the Mode of this number set.

• 2

• 6

• 9

• 0

​Range

Range is the largest number subtracted by the lowest number.

​

​[7,8,9, 3, 4, 10, 8, 11]

​

​11 – 3 = 8

​

​The Range is 8

Multiple Choice

[9, 10, 17, 30, 9, 12]

Find the Range of this number set.

• 21

• 9

• 12

• 1

Multiple Choice

[9, 2, 5, 9, 7, 6 , 5, π]

Find the range of this number set.

• 9

• 7

• 4.14

• 5

Multiple Choice

The biggest number minus the smallest number.

• Mean

• Median

• Mode

• Range

Multiple Choice

The middle number when all of the data is put in order from least to greatest.

• Mean

• Median

• Mode

• Range

Multiple Choice

Add up all the numbers and then divide by how many numbers there are.

• Mean

• Median

• Mode

• Range