Box Plots
When making a box plot (also called a box and whisker plot), what are the five things you need to find?
Min, Q1, Median, Q3, Max
Consider the list of numbers below.
12, 8, 7, 6, 5, 10, 15, 18
Find the mean of the numbers. Show your work. (The total of them added together, what you divided by, and your answer)
81 / 8 = 10.125
Make a stem-and-leaf plot with the following data:
17, 18, 29, 8, 11, 19, 22, 34, 22, 51, 6, 6
I can't put a picture of the graph here, so I'll describe it to you. :)
Your stems should range from 0 to 5. In the 0 row, you should have a 6, 6, and 8. In the 1 row, you should have a 1, 7, 8 and 9. in the 2 row, you should have a 2, 2, and 9. In the 3 row, you should have a 4. In the 4 row, there are no numbers. In the 5 row, there is a 1.
Multiple Choice
Which of the following is an example of a unit rate?
A. 75 miles per two hours
B. 2 sweaters per four hours
C. 65 heartbeats per minute
C. 65 heartbeats per minute because it describes the amount of heartbeats per ONE minute
Answer these two prompts:
Describe the method we use for dividing fractions.
Divide the process of simplifying fractions.
To divide fractions, we use the Keep Change Flip method. You keep the first fraction the same, change the division sign to multiplication, and then flip the numerator and denominator of the second fraction. Then you multiply across.
For simplifying fractions, you need to find the greatest common factor of the numerator and denominator. You can use your factor chart to do this. Then, put the GCF in a giant one and divide both the numerator and denominator by it. That is your simplified fraction.
A box plot splits data into four quartiles. What percentage of data is represented in each quartile?
25%
Consider the list of numbers below.
2, 19, 4, 6, 8, 10, 6.5, 8
What is the median?
7.25
Click the link below and look at question #2.
https://docs.google.com/document/d/1KYl28Bmgymerutoa9-FSQwFXt-brzxAjztQeml8ErsA/edit?tab=t.0
This stem-and-leaf plot represents the number of books students in a class have read throughout the school year. Describe the shape of the graph using two words. (Word Bank: symmetric, asymmetric, single-peaked, double-peaked, uniform, skewed)
Asymmetric, double-peaked
A train starts at the train station and travels 55 miles per hour. How far will it be from the station after 4 hours?
55 x 4 = 220 miles away
Click the link below and look at question #3.
https://docs.google.com/document/d/1KYl28Bmgymerutoa9-FSQwFXt-brzxAjztQeml8ErsA/edit?tab=t.0
Divide the fraction. Make sure to write your answer in the most simplified form and as a mixed number if possible.
16/9, which is 1 and 7/9
Consider the list of data below.
1, 2, 10, 4, 6, 10, 11, 12, 13
Find the min, Q1, median, and Max. Them, make your box plot. I would recommend starting your number line at 0 and ending it at 14.
Min = 1
Q1 = 3
Median = 10
Q3 = 11.5
Max = 13
Consider the list of data below:
89, 4, 55.5, 16, 16, 16, 90, 85, 25
What is the range of the data? (Show your work. Show the calculation you do.)
90 - 4 = 86
Click the link below and look at question #2.
https://docs.google.com/document/d/1KYl28Bmgymerutoa9-FSQwFXt-brzxAjztQeml8ErsA/edit?tab=t.0
This stem-and-leaf plot represents the number of books students in a class have read throughout the school year. What is the smallest number of books a student read in the school year? What is the largest number of books a student read in the school year?
Smallest number: 25
Largest number: 100
Two trains are parked at the train station. Thomas the Train travels west at 60 miles per hour for four hours. Tucker the Train travels east at 50 miles per hour for four hours. After the four hours, how far apart are the two trains?
Thomas the Train traveled 60 x 4 = 140 miles west and Tucker the Train traveled 50 = 4 = 200 miles east. That means the two trains are 340 miles apart after three hours.
Click the link below and look at question #4.
https://docs.google.com/document/d/1KYl28Bmgymerutoa9-FSQwFXt-brzxAjztQeml8ErsA/edit?tab=t.0
Divide the fraction. Make sure to write your answer in the most simplified form and as a mixed number if possible.
15/2, which is 7 and 1/2
Click the link below and look at question #1.
https://docs.google.com/document/d/1KYl28Bmgymerutoa9-FSQwFXt-brzxAjztQeml8ErsA/edit?tab=t.0
Which class had a higher median test score - class 1 or class 2? Write down what each median was and compare them.
Class 1 Median: 85
Class 2 Median: 75
Class had a higher median test score by 10 points.
Consider the list of numbers below.
12, 18, 6, 5, 54, 56, 89, 90, 21
Find the mean of the numbers. Show your work. (The total of them added together, what you divided by, and your answer)
351 / 9 = 39
https://docs.google.com/document/d/1KYl28Bmgymerutoa9-FSQwFXt-brzxAjztQeml8ErsA/edit?tab=t.0
This stem-and-leaf plot represents the number of books students in a class have read throughout the school year. What is a number that we could add to the stem-and-leaf plot that would be an outlier? Why is it an outlier?
Example: 230
It is an outlier because this number is much higher than the rest of the data. There would be a big gap between the current highest number (100) and this number (230).
Ms. Robinson grades 8 tests in 72 minutes. Mr. Swanson grades 12 tests in 96 minutes. Who grades tests faster? Find the unit rate for both teachers to justify your answer.
Consider the expression below.
4(x + 2) + 4x + 6
Evaluate the expression when x = 3.
38
Click the link below and look at question #1.
https://docs.google.com/document/d/1KYl28Bmgymerutoa9-FSQwFXt-brzxAjztQeml8ErsA/edit?tab=t.0
Which class performed better on the test? Give at least two reasons why you think so.
Example:
Class 1 did better on the test. All the five parts of the box plot were higher for class 1: the min, Q1, median, Q3, and Max. The median score was 85 for class 1 while the median was 75 for class 2.
Consider the list of data below.
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
The mean of this data is 5.5. The median is 5.5 as well. What if the number 10 was replaced with the number 62? First, make a prediction. How would the mean and median change? Then, calculate the new mean and median and see if your predictions were correct.
The mean will get considerably higher. The median will stay the same. The mean became 10.7. The median stayed 5.5.
Create a stem-and-leaf plot that is asymmetrical and single peaked. Should you find the mean or median to represent a typical value in your stem-and-leaf plot?
Stem-and-leaf plots will vary. Feel free to ask Ms. Robinson to check yours. You should use the median, not the mean, to represent a typical number here since the graph is asymmetrical.
Pink Lady apples cost $2.45 for 3 pounds. Honey Crisp apples cost $6.25 for 5 pounds. Which type of apple is cheaper? Do some sort of calculations to justify your answer.
Pink Lady apples cost $2.45 / 3 = about 82 cents per pound. Hone Crispy apples cost $6.25 / 5 = $1.25 per pound. Pink Lady apples are about 43 cents per pound cheaper.
What is the difference between an expression and an equation? Explain and give an example of each.
An expression is like a mathetmatical phrase - it is a combination of letters, numbers, and operaiton symbols. An equation is a mathematical sentence. It is also a combination of letters, numbers, and operation symbols, but it is then set equal to another expression using an equal sign.
Example of an expression: 4x
Example of an equation: 4x = 8