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Assessment

Presentation

Mathematics

6th Grade

Hard

Created by

Jamala Cooper

FREE Resource

35 Slides • 88 Questions

1

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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:

1

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.

2

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.

3

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.

4

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?

1

Set A has the higher median. It is 56.

2

Set B has the higher median. It is 56.

3

Set A has the higher median. It is 45.

4

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?

1

Set A has the higher maximum. It is 71.

2

Set B has the higher maximum. It is 71.

3

Set A has the higher maximum. It is 65.

4

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?

1

Set B has the lowest minimum. It is 30.

2

Set A has the lowest minimum. It is 45.

3

Set A has the lowest minimum. It is 30.

4

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?

1

Set B has the highest range. It is 38.

2

Set A has the highest range. It is 38.

3

Set A has the highest range. It is 28.

4

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?

1

Set A has the largest interquartile range. It is 16.

2

Set B has the largest interquartile range. It is 10.

3

Set A has the largest interquartile range. It is 8.

4

Set B has the largest interquartile range. It is 16.

8

Multiple Choice

Question image

What is the average total fat content of the sandwiches listed in the table?

1

15 g

2

25 g

3

30 g

4

20 g

9

Multiple Choice

The majority of the sandwiches fall into which interval?

1

0-2

2

3-5

3

6-8

4

9-11

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Multiple Choice

The average number of calories in a sandwich from McDonalds is best represented by which measure of central tendency?

1

Mean

2

Mode

3

Range

4

Variance

11

Multiple Choice

In context of the data given, the average refers to:

1

The sum of all values divided by the number of values

2

The highest value in the data set

3

The difference between the largest and smallest values

4

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?

1

Place dots above each data value and ensure tic marks are evenly spaced on the axis.

2

Draw a bar graph with unevenly spaced tic marks.

3

Use a pie chart to represent the data.

4

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.

1

Turkey is the best, Tuna is the worst.

2

Ham is the best, Veggie is the worst.

3

Tuna is the best, Turkey is the worst.

4

Veggie is the best, Ham is the worst.

14

Multiple Choice

The spread of the data is:

1

the range between the highest and lowest values

2

the average of all values

3

the most frequently occurring value

4

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:

1

Symmetric

2

Skewed left

3

Skewed right

4

Uniform

16

Multiple Choice

Which of the following is a statistical question that can be answered by the data in the table above?

1

What is the average value of the data in the table above?

2

What is the color of the table?

3

Who created the table?

4

When was the table made?

17

Multiple Choice

Question image

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:

1

5 Number Summary | Small Fry | Medium Fry | Large Fry Minimum | ______ | ______ | ______ Quartile 1 | ______ | ______ | ______ Median (Quartile 2) | ______ | ______ | ______ Quartile 3 | ______ | ______ | ______ Maximum | ______ | ______ | ______

2

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

3

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

4

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?

1

Each boxplot should use the same intervals and the horizontal axis should show calories.

2

Each boxplot should use different intervals and the vertical axis should show calories.

3

Each boxplot should use the same intervals but the horizontal axis should show size of fries.

4

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?

1

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.

2

The range is always the same for all sizes of fries regardless of the data.

3

The spread of calories can only be described using the mean, not the range.

4

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.

1

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.

2

The IQR is always the same for all sizes of fries.

3

The IQR is calculated as Q1 + Q3 for each size of fries.

4

The IQR is the difference between the maximum and minimum values for each size of fries.

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Multiple Choice

Which size fry has the greatest range? ________ Which size fry has the greatest IQR? ________

1

The answer depends on the data from the box plots, which is not provided in this image.

2

Small fry for both; the data is always the same.

3

Medium fry for both; the data is always the same.

4

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?

1

IQR, because it is less affected by outliers and better represents consistency.

2

Range, because it shows the total spread of the data.

3

Range, because it is always more accurate than IQR.

4

IQR, because it only considers the maximum and minimum values.

23

Multiple Choice

Each of the box plots is symmetric. Justify your response.

1

No, not all of the box plots are symmetric because their medians are not centered within the boxes.

2

Yes, all of the box plots are symmetric because the whiskers and boxes are evenly distributed.

3

Yes, all of the box plots are symmetric because the medians are at the center of each box.

4

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?

1

The answer depends on the data from the box plots, which is not provided in this image.

2

McDonald's

3

Burger King

4

Wendy's

25

Multiple Choice

Which restaurant had fries that were overall lowest in calories?

1

The answer depends on the data from the box plots, which is not provided in this image.

2

McDonald's

3

Burger King

4

Wendy's

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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:

1

Uncontrolled variables

2

Menu specials

3

Customer preferences

4

Cooking utensils

27

Multiple Choice

Question image

Which type of chart would best display the number of calories found in the popular drinks at McDonalds?

1

Histogram

2

Pie chart

3

Line graph

4

Scatter plot

28

Multiple Choice

Question image

The mean and median of the calorie data are calculated. Which measure of center would best describe the caloric data and why?

1

The median, because it is less affected by outliers in the data.

2

The mean, because it always represents the data best.

3

The mean, because it is less affected by outliers in the data.

4

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®?

1

210

2

120

3

350

4

500

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Multiple Choice

How many grams of sugar are in 22 fluid ounces of Coca-Cola Classic®?

1

40

2

22

3

55

4

10

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Multiple Choice

How many calories are in 22 fluid ounces of Dasani Water®?

1

0

2

10

3

50

4

100

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Multiple Choice

How many grams of sugar are in 22 fluid ounces of Dasani Water®?

1

0

2

5

3

10

4

15

33

Multiple Choice

How many calories are in 22 fluid ounces of Diet Coke®?

1

0

2

50

3

100

4

200

34

Multiple Choice

How many grams of sugar are in 22 fluid ounces of Diet Coke®?

1

0

2

10

3

22

4

35

35

Multiple Choice

How many calories are in 22 fluid ounces of Sprite®?

1

210

2

120

3

320

4

450

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Multiple Choice

How many grams of sugar are in 22 fluid ounces of Sprite®?

1

56

2

32

3

70

4

44

37

Multiple Choice

How many calories are in 22 fluid ounces of Hi-C® Orange?

1

240

2

120

3

360

4

480

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Multiple Choice

How many grams of sugar are in 22 fluid ounces of Hi-C® Orange?

1

64

2

32

3

48

4

80

39

Multiple Choice

How many calories are in 22 fluid ounces of Orange Juice?

1

280

2

150

3

400

4

90

40

Multiple Choice

How many grams of sugar are in 22 fluid ounces of Orange Juice?

1

58

2

32

3

44

4

70

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Multiple Choice

How many calories are in 22 fluid ounces of Powerade®?

1

150

2

90

3

200

4

300

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Multiple Choice

How many grams of sugar are in 22 fluid ounces of Powerade®?

1

31

2

15

3

45

4

60

43

Multiple Choice

How many calories are in 22 fluid ounces of Sweet Tea?

1

180

2

90

3

250

4

320

44

Multiple Choice

How many grams of sugar are in 22 fluid ounces of Sweet Tea?

1

45

2

20

3

60

4

80

45

Multiple Choice

How many calories are in 22 fluid ounces of Iced Mocha?

1

340

2

180

3

420

4

260

46

Multiple Choice

How many grams of sugar are in 22 fluid ounces of Iced Mocha?

1

41

2

25

3

55

4

68

47

Multiple Choice

How many calories are in 20 fluid ounces of Hot Chocolate?

1

460

2

200

3

320

4

540

48

Multiple Choice

How many grams of sugar are in 20 fluid ounces of Hot Chocolate?

1

54

2

32

3

68

4

45

49

Multiple Choice

How many calories are in 22 fluid ounces of Frappe Mocha?

1

680

2

320

3

450

4

900

50

Multiple Choice

How many grams of sugar are in 22 fluid ounces of Frappe Mocha?

1

87

2

45

3

120

4

65

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Multiple Choice

How many calories are in 22 fluid ounces of Strawberry Banana Smoothie?

1

330

2

150

3

450

4

600

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Multiple Choice

How many grams of sugar are in 22 fluid ounces of Strawberry Banana Smoothie?

1

70

2

35

3

50

4

90

53

Multiple Choice

How many calories are in 22 fluid ounces of Chocolate McCafé Shake?

1

720

2

450

3

980

4

600

54

Multiple Choice

How many grams of sugar are in 22 fluid ounces of Chocolate McCafé Shake?

1

98

2

65

3

120

4

45

55

Multiple Choice

Which tool can you use to create a histogram using the grams of sugar data?

1

Desmos

2

Microsoft Word

3

Google Docs

4

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?

1

The median would be best because it is less affected by outliers.

2

The mean would be best because it uses all data points.

3

Both mean and median are equally good.

4

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:

1

Cheeseburgers

2

Chicken sandwiches

3

Veggie sandwiches

4

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?

1

It would increase the average because 17 grams is higher than the current average.

2

It would decrease the average because 17 grams is lower than the current average.

3

It would not change the average because 17 grams is equal to the current average.

4

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:

1

It only considers the highest and lowest values, ignoring all other data points.

2

It provides a detailed analysis of all data points.

3

It is the most accurate measure of variability.

4

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?

1

Identify and write down three new things you learned in this unit.

2

List three things you already knew before this unit.

3

Write about three unrelated topics.

4

Describe three things you did not understand.

61

Multiple Choice

Identify two things you are still struggling with in this unit.

1

Understanding key concepts and applying them to problems

2

Mastering advanced topics and memorizing definitions

3

Completing assignments on time and participating in discussions

4

Remembering the names of classmates and organizing notes

62

Multiple Choice

One thing that will help you with future lessons in this unit is:

1

Reviewing previous lessons

2

Skipping practice exercises

3

Ignoring feedback

4

Not taking notes

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Multiple Choice

Which of the following is NOT a statistical measure used to analyze nutrition data?

1

Mean

2

Median

3

Range

4

Division

65

Open Ended

Why is it important to use math when making decisions about the food you eat, especially fast food?

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Multiple Choice

Which of the following is NOT a reason why understanding nutrition and math is important, according to the first slide?

1

Fast food is everywhere—millions of people eat it every day

2

Most people don't check nutrition information before ordering

3

Math helps us understand what's really in our food

4

You'll learn how to cook fast food at home

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Fill in the Blank

Type answer...

70

Multiple Choice

What is the median of the following set of numbers: 2, 4, 7, 9, 10?

1

4

2

7

3

9

4

10

71

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Multiple Select

Which of the following are key numbers to look for on a nutrition label?

1

Calories

2

Sodium

3

Protein

4

Sugars

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Open Ended

Why is it important to check the sodium content on a nutrition label before choosing a fast food item?

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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?

1

The box

2

The line inside the box

3

The whiskers

4

The minimum value

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Multiple Choice

According to the statistics for medium fries, which restaurant offers the fries with the highest calorie count?

1

Sonic

2

McDonald's

3

Wendy's

4

Burger King

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Fill in the Blank

Type answer...

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Multiple Select

Which of the following drinks are considered zero-calorie options?

1

Water

2

Diet Soda

3

Chocolate Shake

4

Mocha Frappe

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Multiple Choice

Based on the sugar content graph, which drink contains the most sugar in a 22 oz serving?

1

Water

2

Regular Cola

3

Frappe Mocha

4

Chocolate Shake

89

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90

Multiple Choice

Which of the following is NOT a recommended way to make healthier food choices according to the slide?

1

Choose grilled over fried foods

2

Pick smaller portions

3

Skip sugary drinks

4

Eat only fried foods

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Open Ended

Explain the difference between a statistical question and a non-statistical question using examples from the slides.

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Multiple Select

Which of the following are sources where you can find nutrition data?

1

Fast food websites

2

Nutrition apps

3

In-store brochures

4

Personal blogs

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Fill in the Blank

Type answer...

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Multiple Choice

When analyzing data patterns, which of the following is NOT a pattern to look for?

1

Clusters

2

Gaps

3

Outliers

4

Recipes

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Multiple Choice

Which measure is NOT affected by outliers?

1

Mean

2

Median

3

Both mean and median

4

None of the above

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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?

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Fill in the Blank

Type answer...

105

Multiple Choice

Which of the following best describes the Interquartile Range (IQR)?

1

The difference between the highest and lowest values in a data set

2

The spread of the middle 50% of your data

3

The average of all values in a data set

4

The value that appears most frequently in a data set

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Multiple Select

Based on the Sandwich Sodium Showdown box plot analysis, which of the following statements are true?

1

The data is skewed right

2

Most sandwiches have moderate sodium

3

There are no sandwiches with extremely high sodium

4

The IQR shows wide variation

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Multiple Choice

Which breakfast item has the highest calorie content according to the bar chart?

1

Egg McMuffin

2

Bacon, Egg & Cheese

3

Sausage, Egg & Cheese

4

Big Breakfast with Hotcakes

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Fill in the Blank

Type answer...

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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?

1

Mean, median, and range

2

Mode, variance, and standard deviation

3

Sum, product, and quotient

4

Probability, permutation, and combination

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