Measures of Center and Measures of Dispersion
Uses of Standard Deviation
Measures of Position and Box and Whisker Plots
All Things Probability
More of All Things Probability and Some Counting
100
Outliers affect this measure of center the most
What is the mean ?
100
To draw conclusions about data sets, the ____________ should be used for bell-shaped distributions while __________ should be used for distributions where the shape is unknown.
What are empirical rule and Chebyshev's theorem?
100
A group of friends recorded the number of candy bars they received while trick-or-treating:
4, 7, 3, 10, 5
The five-number summary for the data, in correct order
What are 3, 3.5, 5, 8.5, and 10?
100
Assume we surveyed a group of 30 children about their Halloween costumes and how much candy they collected. Here’s the distribution of responses:
If a child was randomly selected, find the probability that they dressed up as a superhero. Round to one decimal place.
What is 0.4?
100
Assume we surveyed a group of 30 children about their Halloween costumes and how much candy they collected. Here’s the distribution of responses:
Find the probability that a child received a high amount of candy given that they dressed up as a superhero. Round to three decimal places.
What is 0.583 ?
200
The weights, in pounds, of 7 randomly selected pumpkins at the pumpkin patch are given below:
13, 11.5, 12, 8.3, 15.2, 9.8, 10.2
Find the mean, median, and mode(s). Round answers to two decimal places.
What are 11.43, 11.5, and no mode?
200
The amount of candy Americans eat on Halloween follows a bell-shaped distribution with an average of around 3.4 pounds and a standard deviation of 0.4 pounds.
The percentage of Americans who eat between 3.0 and 3.8 pounds of candy on Halloween
What is 68% ?
200
A group of friends recorded the number of candy bars they received while trick-or-treating:
4, 7, 3, 10, 5
25% of the friends received less than ______ candy bars
What are 3.5 or 4?
200
Assume we surveyed a group of 30 children about their Halloween costumes and how much candy they collected. Here’s the distribution of responses:
If a child was randomly selected, find the probability that they dressed up as a movie/tv character and received a low amount of candy. Round to one decimal place.
What is 0.133 ?
200
Assume we surveyed a group of 30 children about their Halloween costumes and how much candy they collected. Here’s the distribution of responses:
If a child was randomly selected, find the probability that they dressed up as a witch or a superhero. Round to three decimal places.
What is 0.667 ?
300
The weights, in pounds, of 7 randomly selected pumpkins at the pumpkin patch are given below:
13, 11.5, 12, 8.3, 15.2, 9.8, 10.2
The standard deviation and variance rounded to two decimal places
What are 2.27 and 5.16?
300
A neighborhood with 100 houses participates in a Halloween candy exchange. Each house collects different amounts of candy. After collecting the data, we find that the average amount of candy collected is 200 pieces, with a standard deviation of 40 pieces.
Determine at least what percentage of houses collected between 120 and 280 pieces of candy.
What is 75% ?
300
A group of friends recorded the number of candy bars they received while trick-or-treating:
4, 7, 3, 10, 5
Find the percentage of friends, rounded to the nearest whole percent, who received less than 8 candy bars.
That is find the percentile rank of 8.
What is 80%?
300
Assume we surveyed a group of 30 children about their Halloween costumes and how much candy they collected. Here’s the distribution of responses:
Given that a child dressed up as a movie/tv show characted, find the probability that they received a high amount of candy. Round to one decimal place.
What is 0.6 ?
300
You have a selection of Halloween candies to share with your friends. You have the following 6 types of candy:
- Chocolate Bars
- Gummy Bears
- Lollipops
- Candy Corn
- Caramel Apples
- Skittles
If you want to create a goodie bag containing 3 different types of candy from the 6 listed for a Halloween party, how many different combinations of candies can you choose?
What is 20 ?
400
Bobbing for Apples
Children are given a maximum of 2 minutes to remove an apple from the water. All students in Ms. Stacy's kindergarten class took turns bobbing for apples. The amount of time in minutes the students took to remove an apple is given below.
2, 2, 2, 1.8, 1.9, 1.2, 2, 1.9, 1.7, 1.5, 1.8,
1.9, 2
Rounded to two decimal places, the mean, standard deviation, and variance
What are 1.82, 0.23, and 0.05?
400
Let's say that the amount of candy Americans eat on Halloween follows a bell-shaped distribution with an average of around 3.4 pounds and a standard deviation of 0.4 pounds.
The percentage of Americans who eat between 2.6 and 4.2 pounds of candy on Halloween
What is 95%?
400
Consider the following 10 values representing the number of candy bars collected by a group of kids while trick-or-treating:
2, 3, 3, 4, 5, 6, 7, 8, 12, 15
A box-and-whisker plot was created and is seen below:
6 candy bars received would fall within the top or bottom half of the data?
Describe the shape of the distribution.
What is top and skewed to the right?
400
Assume we surveyed a group of 30 children about their Halloween costumes and how much candy they collected. Here’s the distribution of responses:
If a child was randomly selected, find the probability that they dressed up as a witch or received a low amount of candy. Round to three decimal places.
What is 0.567 ?
400
A group of 5 friends are going to a Halloween party, and each friend has chosen a different costume:
- Vampire
- Ghost
- Witch
- Zombie
- Pirate
If each friend wants to stand in a line for a group photo, how many different ways can they arrange themselves?
What is 120 ?
500
A group of friends went trick-or-treating, and they received different amounts of various types of candy. The friends reported the following:
- Chocolate Bars: 6 pieces (weight: 4)
- Gummy Bears: 4 pieces (weight: 3)
- Lollipops: 10 pieces (weight: 2)
- Candy Corn: 2 pieces (weight: 1)
The weighted mean expressed to one decimal place
What is 5.8?
500
At a Halloween festival, 60 participants were asked how many Halloween costumes they had worn over the years. The average number of costumes reported was 4, with a standard deviation of 1.5.
Determine at least what percentage of people had between 1.75 and 6.25 costume changes. Round to the nearest whole percent.
What is 56%?
500
Consider the following 10 values representing the number of candy bars collected by a group of kids while trick-or-treating:
2, 3, 3, 4, 5, 6, 7, 8, 12, 15
A box-and-whisker plot was created and is seen below:
The 5-number summary in correct order is
What are 2, 3, 5.5, 8 and 15?
500
Assume we surveyed a group of 30 children about their Halloween costumes and how much candy they collected. Here’s the distribution of responses:
If three children were selected, what is the probability that all three of them dressed up as a witch? Round to three decimal places.
What is 0.014 ?
500
Imagine you are preparing for a Halloween party, and you have the following options for your Halloween look:
Costume Type: You can choose from 3 types of costumes: Vampire, Witch, Ghost
Accessory: You can choose from 2 accessories: Hat, Wand
Face Paint: You can choose from 2 types of face paint: Scary, Funny
How many different looks can you create for the Halloween party?
What is 12 ?