Statistical Questions
Measures of Center/Statistical Measures
Calculating Statistical Measures
Interpreting Data
Probability
100
A statistical question is a question that...
(Pick 2:)
a) can be answered by data
b) has only one answer
c) has serval possible answers
d) anyone can answer
Answers:
a) can be answered by data
c) has serval possible answers
100
What is another name for the "mean" of a data set?
a) average
b) middle
c) most
d) least
Answer: a) average
100
What is the mode of the data set below:
{ 2, 4, 6, 3, 10, 2, 7, 9 }
Mode = 2
The "mode" is the number(s) in a data set that occurs most frequently in the set.
There are two 2s in the data set. That is the only number that occurs more than once.
100
Use the dot plot below to answer the question:
Which snack is preferred by most students?
Answer: chips
(4 students preferred chips. Chips has the most dots of all the choices on the dot plot.)
100
Scenario: "You are picking jelly beans from a bag. There are 10 lemon, 20 buttered popcorn, 20 blue raspberry and 3 toothpaste."
What is the probability of picking a toothpaste flavored jelly bean?
Answer: 3/53
200
What is a "data set"?
(Pick one:)
a) a group of fractions
b) factors
c) a list of numbers taken from questions, texts or experiments
d) multiples of 2
Answer: c) a list of numbers taken from questions, texts or experiments
200
How do you find the mean of a data set?
(Pick one:)
a) add all the numbers together, then divide by the amount of numbers added together
b) subtract the highest and the lowest numbers
c) put the numbers in order from least to greatest, then find the middle number
d) look for the numbers that is repeated the most
Answer: a) add all the numbers together, then divide by the amount of numbers added together
200
What is the range of the data set below:
{ 2, 4, 6, 3, 10, 2, 7, 9 }
Range = 8
The "range" is the difference between the greatest and the least values in a set of data.
There greatest number is 10. The least number is 2. 10-2=8
200
Use the dot plot below to answer the question:
How many people surveyed had either 1 or 2 siblings? 
Answer: 10 people had either 1 or 2 siblings
(Count all the data points plotted about the 1 and 2 on the dot plot.)
200
Scenario: "You are picking jelly beans from a bag. There are 10 lemon, 20 buttered popcorn, 20 blue raspberry and 3 toothpaste."
What is the probability of picking a NOT toothpaste flavored jelly bean?
Answer: 50/53
(3 jelly beans are tooth past flavored, which means the rest are NOT toothpaste flavored. 53-3=50. So 50 out of 53 jelly beans will NOT be toothpaste flavored.)
300
Is the following question statistical or not statistical?
"How old was the longest living president of the United States?"
Not statistical.
Answers will not vary - there is only one answer to this question (President Biden, 80 years old).
300
How do you find the mode of a data set?
(Pick one:)
a) add all the numbers together, then divide by the amount of numbers added together
b) subtract the highest and the lowest numbers
c) put the numbers in order from least to greatest, then find the middle number
d) look for the numbers that is repeated the most
Answer: d) look for the numbers that is repeated the most
300
What is the mean of the data set below:
{ 2, 4, 6, 3, 10, 2, 7, 9 }
Mean = 5.375
The "mean" is also known as the average. It is the sum of the numbers in a set of data divided by the number of pieces of data.
2+4+6+3+10+2+7+9 = 43
43 / 8 = 5.375
300
Use the dot plot below to answer the question:
How many total paint orders were made?
Answer: 14 total paint orders
(count ALL the data points on the dot plot)
300
Scenario: "You are picking jelly beans from a bag. There are 10 lemon, 20 buttered popcorn, 20 blue raspberry and 3 toothpaste."
What is the probability of picking a green apple flavored jelly bean?
Answer: 0/53
(There are NO green apple flavored jelly beans in the bag so there is NO chance of picking one, therefore there is a zero out of 53 chance of picking a green apply flavored jelly bean.)
400
Is the following question statistical or not statistical?
"at is the favorite TV show of the students in my school?
Statistical
Because...different students can have different favorite TV shows so the data will vary (or there will a lot of different answers).
400
How do you find the range of a data set?
(Pick one:)
a) add all the numbers together, then divide by the amount of numbers added together
b) subtract the highest and the lowest numbers
c) put the numbers in order from least to greatest, then find the middle number
d) look for the numbers that is repeated the most
Answer: b) subtract the highest and the lowest numbers
400
What is the median of the data set below:
{ 2, 4, 6, 3, 10, 7, 9 }
Median = 6
The "median" is the middle number of a set of numbers arranged in increasing or decreasing order.
Least to Greatest: 2, 3, 4, 6, 7, 9, 10
Middle Number = 6
400
Use the histogram below to answer the question:
How many dogs weigh between 60-89 pounds?
Answer: 4 dogs
(Follow the bar about 60-89 label on the x-axis all the way up to the top, then follow the bar over to the left to the y-axis to find the number of dogs.)
400
The weather forecast shows there is a 10% chance that it will rain on our field trip this Friday.
What is the probability it will NOT rain on Friday?
Answer: 90%, 90/100, or 9/10
(If there is a 10% chance of rain, percents are always calculated out of 100...so 100-10=90 or 90%. That can be written as the fraction 90/100 or simplified to the fraction 9/10.)
500
Is the following question statistical or non statistical?
"How old are you?"
Non statistical
Because...the question is only being asked to one person so you will only get one answer.
500
How do you find the median of a data set?
(Pick one:)
a) add all the numbers together, then divide by the amount of numbers added together
b) subtract the highest and the lowest numbers
c) put the numbers in order from least to greatest, then find the middle number
d) look for the numbers that is repeated the most
Answer: c) put the numbers in order from least to greatest, then find the middle number
500
What is the median of the data set below:
{ 2, 4, 6, 3, 10, 2, 7, 9 }
Median = 5
The "median" is the middle number of a set of numbers arranged in increasing or decreasing order. **If there is no middle number, the median is the average of the two middle numbers.**
Least to Greatest: 2, 2, 3, 4, 6, 7, 9, 10
Middle Numbers = 4 and 6
4 + 6 = 10
10 / 2 = 5
500
Use the histogram below to answer the question:
How many dogs weighed 90 pounds or more?
Answer: 6 dogs
(Look at both the 90-119 range and the 120-149 range. Add the number of dogs in those two ranges together: 5+1=6)
500
The spinner below has 6 equal spaces you could possibly land on. What is the theoretical probability of spinning an even number?
Answer: 3/6 or 1/2
(Theoretical probability is the likelihood of an even occurring based on all the possible outcomes. The even numbers on the spinner are: 2, 4, 6...therefore 3 even numbers out of 6 possible outcomes gives us the fraction 3/6 that can be simplified to 1/2.)