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Presentation
•
Mathematics
•
6th Grade
•
Hard
Jamala Cooper
FREE Resource
35 Slides • 88 Questions
1
2
Multiple Choice
Using the data from Set A (34, 40, 44, 52, 55, 57, 58, 60, 64, 71) and Set B (30, 32, 48, 50, 53, 57, 57, 58, 62, 68), fill in the table below with the correct values for each statistical measure:
Set A: Median = 56, Minimum = 34, Maximum = 71, First quartile = 44, Third quartile = 60, Range = 37, Interquartile Range = 16. Set B: Median = 53, Minimum = 30, Maximum = 68, First quartile = 48, Third quartile = 58, Range = 38, Interquartile Range = 10.
Set A: Median = 55, Minimum = 34, Maximum = 71, First quartile = 40, Third quartile = 64, Range = 37, Interquartile Range = 24. Set B: Median = 57, Minimum = 30, Maximum = 68, First quartile = 32, Third quartile = 62, Range = 38, Interquartile Range = 30.
Set A: Median = 57, Minimum = 34, Maximum = 71, First quartile = 44, Third quartile = 64, Range = 37, Interquartile Range = 20. Set B: Median = 57, Minimum = 30, Maximum = 68, First quartile = 48, Third quartile = 62, Range = 38, Interquartile Range = 14.
Set A: Median = 56, Minimum = 34, Maximum = 71, First quartile = 40, Third quartile = 60, Range = 37, Interquartile Range = 20. Set B: Median = 53, Minimum = 30, Maximum = 68, First quartile = 32, Third quartile = 58, Range = 38, Interquartile Range = 26.
3
Multiple Choice
Using the data from Set A and Set B, which set has the higher median? What is it?
Set A has the higher median. It is 56.
Set B has the higher median. It is 56.
Set A has the higher median. It is 45.
Set B has the higher median. It is 45.
4
Multiple Choice
Using the data from Set A and Set B, which set has the higher maximum? What is it?
Set A has the higher maximum. It is 71.
Set B has the higher maximum. It is 71.
Set A has the higher maximum. It is 65.
Set B has the higher maximum. It is 65.
5
Multiple Choice
Using the data from Set A and Set B, which set has the lowest minimum? What is it?
Set B has the lowest minimum. It is 30.
Set A has the lowest minimum. It is 45.
Set A has the lowest minimum. It is 30.
Set B has the lowest minimum. It is 45.
6
Multiple Choice
Using the data from Set A and Set B, which set has the highest range? What is it?
Set B has the highest range. It is 38.
Set A has the highest range. It is 38.
Set A has the highest range. It is 28.
Set B has the highest range. It is 28.
7
Multiple Choice
Using the data from Set A and Set B, which set has the largest interquartile range?
Set A has the largest interquartile range. It is 16.
Set B has the largest interquartile range. It is 10.
Set A has the largest interquartile range. It is 8.
Set B has the largest interquartile range. It is 16.
8
Multiple Choice
What is the average total fat content of the sandwiches listed in the table?
15 g
25 g
30 g
20 g
9
Multiple Choice
The majority of the sandwiches fall into which interval?
0-2
3-5
6-8
9-11
10
Multiple Choice
The average number of calories in a sandwich from McDonalds is best represented by which measure of central tendency?
Mean
Mode
Range
Variance
11
Multiple Choice
In context of the data given, the average refers to:
The sum of all values divided by the number of values
The highest value in the data set
The difference between the largest and smallest values
The most frequently occurring value
12
Multiple Choice
Which of the following is the correct way to create a dot plot of the data with evenly spaced tic marks on the axis?
Place dots above each data value and ensure tic marks are evenly spaced on the axis.
Draw a bar graph with unevenly spaced tic marks.
Use a pie chart to represent the data.
Create a line graph with random spacing on the axis.
13
Multiple Choice
Based on the data, select the best and worst sandwich selections from the options below.
Turkey is the best, Tuna is the worst.
Ham is the best, Veggie is the worst.
Tuna is the best, Turkey is the worst.
Veggie is the best, Ham is the worst.
14
Multiple Choice
The spread of the data is:
the range between the highest and lowest values
the average of all values
the most frequently occurring value
the sum of all values
15
Multiple Choice
Are there about the same amount of data on both sides of the mean? The data is:
Symmetric
Skewed left
Skewed right
Uniform
16
Multiple Choice
Which of the following is a statistical question that can be answered by the data in the table above?
What is the average value of the data in the table above?
What is the color of the table?
Who created the table?
When was the table made?
17
Multiple Choice
Refer to the table showing the calories in small, medium, and large fries from various fast food restaurants. Find the 5 Number Summary for each size of fries and fill in the table below:
5 Number Summary | Small Fry | Medium Fry | Large Fry Minimum | ______ | ______ | ______ Quartile 1 | ______ | ______ | ______ Median (Quartile 2) | ______ | ______ | ______ Quartile 3 | ______ | ______ | ______ Maximum | ______ | ______ | ______
5 Number Summary | Small Fry | Medium Fry | Large Fry Minimum | 100 | 200 | 300 Quartile 1 | 150 | 250 | 350 Median (Quartile 2) | 200 | 300 | 400 Quartile 3 | 250 | 350 | 450 Maximum | 300 | 400 | 500
5 Number Summary | Small Fry | Medium Fry | Large Fry Minimum | 120 | 220 | 320 Quartile 1 | 170 | 270 | 370 Median (Quartile 2) | 220 | 320 | 420 Quartile 3 | 270 | 370 | 470 Maximum | 320 | 420 | 520
5 Number Summary | Small Fry | Medium Fry | Large Fry Minimum | 90 | 190 | 290 Quartile 1 | 140 | 240 | 340 Median (Quartile 2) | 190 | 290 | 390 Quartile 3 | 240 | 340 | 440 Maximum | 290 | 390 | 490
18
Multiple Choice
A boxplot should be made for each size of fries, with all three box plots using the same intervals and the horizontal axis marked with the amount of calories. Which of the following best describes how the boxplots should be constructed?
Each boxplot should use the same intervals and the horizontal axis should show calories.
Each boxplot should use different intervals and the vertical axis should show calories.
Each boxplot should use the same intervals but the horizontal axis should show size of fries.
Each boxplot should use different intervals and the horizontal axis should show size of fries.
19
Multiple Choice
Using the range, how would you describe the spread of calories for small, medium, and large fries?
Answers will vary depending on the data provided for each size of fries. Students should describe the spread (difference between maximum and minimum calories) for each size.
The range is always the same for all sizes of fries regardless of the data.
The spread of calories can only be described using the mean, not the range.
The range is not useful for comparing the spread of calories in fries of different sizes.
20
Multiple Choice
Using the five-number summary, find the Interquartile Range (IQR) for small, medium, and large fries.
Answers will vary depending on the five-number summary data for each size of fries. Students should calculate the IQR (Q3 - Q1) for each size.
The IQR is always the same for all sizes of fries.
The IQR is calculated as Q1 + Q3 for each size of fries.
The IQR is the difference between the maximum and minimum values for each size of fries.
21
Multiple Choice
Which size fry has the greatest range? ________ Which size fry has the greatest IQR? ________
The answer depends on the data from the box plots, which is not provided in this image.
Small fry for both; the data is always the same.
Medium fry for both; the data is always the same.
Large fry for both; the data is always the same.
22
Multiple Choice
To determine which size fry has the more consistent amount of calories, would you compare the ranges or the IQR?
IQR, because it is less affected by outliers and better represents consistency.
Range, because it shows the total spread of the data.
Range, because it is always more accurate than IQR.
IQR, because it only considers the maximum and minimum values.
23
Multiple Choice
Each of the box plots is symmetric. Justify your response.
No, not all of the box plots are symmetric because their medians are not centered within the boxes.
Yes, all of the box plots are symmetric because the whiskers and boxes are evenly distributed.
Yes, all of the box plots are symmetric because the medians are at the center of each box.
No, none of the box plots are symmetric because the whiskers are unequal.
24
Multiple Choice
Overall, which restaurant had fries that were very high in calories?
The answer depends on the data from the box plots, which is not provided in this image.
McDonald's
Burger King
Wendy's
25
Multiple Choice
Which restaurant had fries that were overall lowest in calories?
The answer depends on the data from the box plots, which is not provided in this image.
McDonald's
Burger King
Wendy's
26
Multiple Choice
Factors that might cause one restaurant’s large fry order to be much higher in calories than another restaurant’s large fry are called:
Uncontrolled variables
Menu specials
Customer preferences
Cooking utensils
27
Multiple Choice
Which type of chart would best display the number of calories found in the popular drinks at McDonalds?
Histogram
Pie chart
Line graph
Scatter plot
28
Multiple Choice
The mean and median of the calorie data are calculated. Which measure of center would best describe the caloric data and why?
The median, because it is less affected by outliers in the data.
The mean, because it always represents the data best.
The mean, because it is less affected by outliers in the data.
Both mean and median always describe the data equally well.
29
Multiple Choice
How many calories are in 22 fluid ounces of Coca-Cola Classic®?
210
120
350
500
30
Multiple Choice
How many grams of sugar are in 22 fluid ounces of Coca-Cola Classic®?
40
22
55
10
31
Multiple Choice
How many calories are in 22 fluid ounces of Dasani Water®?
0
10
50
100
32
Multiple Choice
How many grams of sugar are in 22 fluid ounces of Dasani Water®?
0
5
10
15
33
Multiple Choice
How many calories are in 22 fluid ounces of Diet Coke®?
0
50
100
200
34
Multiple Choice
How many grams of sugar are in 22 fluid ounces of Diet Coke®?
0
10
22
35
35
Multiple Choice
How many calories are in 22 fluid ounces of Sprite®?
210
120
320
450
36
Multiple Choice
How many grams of sugar are in 22 fluid ounces of Sprite®?
56
32
70
44
37
Multiple Choice
How many calories are in 22 fluid ounces of Hi-C® Orange?
240
120
360
480
38
Multiple Choice
How many grams of sugar are in 22 fluid ounces of Hi-C® Orange?
64
32
48
80
39
Multiple Choice
How many calories are in 22 fluid ounces of Orange Juice?
280
150
400
90
40
Multiple Choice
How many grams of sugar are in 22 fluid ounces of Orange Juice?
58
32
44
70
41
Multiple Choice
How many calories are in 22 fluid ounces of Powerade®?
150
90
200
300
42
Multiple Choice
How many grams of sugar are in 22 fluid ounces of Powerade®?
31
15
45
60
43
Multiple Choice
How many calories are in 22 fluid ounces of Sweet Tea?
180
90
250
320
44
Multiple Choice
How many grams of sugar are in 22 fluid ounces of Sweet Tea?
45
20
60
80
45
Multiple Choice
How many calories are in 22 fluid ounces of Iced Mocha?
340
180
420
260
46
Multiple Choice
How many grams of sugar are in 22 fluid ounces of Iced Mocha?
41
25
55
68
47
Multiple Choice
How many calories are in 20 fluid ounces of Hot Chocolate?
460
200
320
540
48
Multiple Choice
How many grams of sugar are in 20 fluid ounces of Hot Chocolate?
54
32
68
45
49
Multiple Choice
How many calories are in 22 fluid ounces of Frappe Mocha?
680
320
450
900
50
Multiple Choice
How many grams of sugar are in 22 fluid ounces of Frappe Mocha?
87
45
120
65
51
Multiple Choice
How many calories are in 22 fluid ounces of Strawberry Banana Smoothie?
330
150
450
600
52
Multiple Choice
How many grams of sugar are in 22 fluid ounces of Strawberry Banana Smoothie?
70
35
50
90
53
Multiple Choice
How many calories are in 22 fluid ounces of Chocolate McCafé Shake?
720
450
980
600
54
Multiple Choice
How many grams of sugar are in 22 fluid ounces of Chocolate McCafé Shake?
98
65
120
45
55
Multiple Choice
Which tool can you use to create a histogram using the grams of sugar data?
Desmos
Microsoft Word
Google Docs
PowerPoint
56
Multiple Choice
Calculate the mean and median for the grams of sugar. Which would be best in describing grams of sugar in drinks at McDonalds?
The median would be best because it is less affected by outliers.
The mean would be best because it uses all data points.
Both mean and median are equally good.
Neither mean nor median is useful.
57
Multiple Choice
Based on the information about the fat content in each sandwich, the most fattening type of sandwiches are:
Cheeseburgers
Chicken sandwiches
Veggie sandwiches
Fish sandwiches
58
Multiple Choice
If the Southern Style Crispy Chicken Sandwich, which has 17 grams of fat, is added to the table, would that increase or decrease the average fat content? Why?
It would increase the average because 17 grams is higher than the current average.
It would decrease the average because 17 grams is lower than the current average.
It would not change the average because 17 grams is equal to the current average.
It would have no effect because the average does not depend on new items.
59
Multiple Choice
Using the range to measure the variability in the drink options for sugar content would be ineffective because:
It only considers the highest and lowest values, ignoring all other data points.
It provides a detailed analysis of all data points.
It is the most accurate measure of variability.
It takes into account the mean and median values.
60
Multiple Choice
Which of the following is the correct way to list 3 new things you learned in this unit?
Identify and write down three new things you learned in this unit.
List three things you already knew before this unit.
Write about three unrelated topics.
Describe three things you did not understand.
61
Multiple Choice
Identify two things you are still struggling with in this unit.
Understanding key concepts and applying them to problems
Mastering advanced topics and memorizing definitions
Completing assignments on time and participating in discussions
Remembering the names of classmates and organizing notes
62
Multiple Choice
One thing that will help you with future lessons in this unit is:
Reviewing previous lessons
Skipping practice exercises
Ignoring feedback
Not taking notes
63
64
Multiple Choice
Which of the following is NOT a statistical measure used to analyze nutrition data?
Mean
Median
Range
Division
65
Open Ended
Why is it important to use math when making decisions about the food you eat, especially fast food?
66
67
Multiple Choice
Which of the following is NOT a reason why understanding nutrition and math is important, according to the first slide?
Fast food is everywhere—millions of people eat it every day
Most people don't check nutrition information before ordering
Math helps us understand what's really in our food
You'll learn how to cook fast food at home
68
69
Fill in the Blank
Type answer...
70
Multiple Choice
What is the median of the following set of numbers: 2, 4, 7, 9, 10?
4
7
9
10
71
72
Multiple Select
Which of the following are key numbers to look for on a nutrition label?
Calories
Sodium
Protein
Sugars
73
74
Open Ended
Why is it important to check the sodium content on a nutrition label before choosing a fast food item?
75
76
77
78
Open Ended
How can box plots help us understand the spread and outliers in a dataset?
79
Multiple Choice
Which part of a box plot represents the median of the data?
The box
The line inside the box
The whiskers
The minimum value
80
81
82
Multiple Choice
According to the statistics for medium fries, which restaurant offers the fries with the highest calorie count?
Sonic
McDonald's
Wendy's
Burger King
83
84
Fill in the Blank
Type answer...
85
86
Multiple Select
Which of the following drinks are considered zero-calorie options?
Water
Diet Soda
Chocolate Shake
Mocha Frappe
87
88
Multiple Choice
Based on the sugar content graph, which drink contains the most sugar in a 22 oz serving?
Water
Regular Cola
Frappe Mocha
Chocolate Shake
89
90
Multiple Choice
Which of the following is NOT a recommended way to make healthier food choices according to the slide?
Choose grilled over fried foods
Pick smaller portions
Skip sugary drinks
Eat only fried foods
91
92
Open Ended
Explain the difference between a statistical question and a non-statistical question using examples from the slides.
93
94
Multiple Select
Which of the following are sources where you can find nutrition data?
Fast food websites
Nutrition apps
In-store brochures
Personal blogs
95
96
Fill in the Blank
Type answer...
97
98
Multiple Choice
When analyzing data patterns, which of the following is NOT a pattern to look for?
Clusters
Gaps
Outliers
Recipes
99
100
Multiple Choice
Which measure is NOT affected by outliers?
Mean
Median
Both mean and median
None of the above
101
102
Open Ended
What does it tell us when the mean is higher than the median in a data set, such as the French fry calories example?
103
104
Fill in the Blank
Type answer...
105
Multiple Choice
Which of the following best describes the Interquartile Range (IQR)?
The difference between the highest and lowest values in a data set
The spread of the middle 50% of your data
The average of all values in a data set
The value that appears most frequently in a data set
106
107
Multiple Select
Based on the Sandwich Sodium Showdown box plot analysis, which of the following statements are true?
The data is skewed right
Most sandwiches have moderate sodium
There are no sandwiches with extremely high sodium
The IQR shows wide variation
108
109
110
Multiple Choice
Which breakfast item has the highest calorie content according to the bar chart?
Egg McMuffin
Bacon, Egg & Cheese
Sausage, Egg & Cheese
Big Breakfast with Hotcakes
111
112
Fill in the Blank
Type answer...
113
114
115
116
117
118
119
120
121
122
Open Ended
How do you think analyzing fast food nutrition data with math can help you make smarter food choices in your daily life?
123
Multiple Choice
Which statistical measures will you use to describe and analyze nutrition data in this unit?
Mean, median, and range
Mode, variance, and standard deviation
Sum, product, and quotient
Probability, permutation, and combination
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