# Pre Algebra Quiz: Analyzing Data

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| By Schaafl
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Schaafl
Community Contributor
Quizzes Created: 5 | Total Attempts: 1,363
Questions: 20 | Attempts: 257

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Measures of Central Tendency Mean Median Mode RangeStem & Leaf Plots
Scatter Plots
Box & Whisker Plots

• 1.

### Describe the following relationship: Age of a person and their height

• A.

No relationship

• B.

Positive relationship

• C.

Negative relationship

• D.

Cannot be determined

B. Positive relationship
Explanation
The correct answer is positive relationship. This means that as the age of a person increases, their height also tends to increase. This can be observed in most cases, as children tend to grow taller as they get older.

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• 2.

### Describe the following relationship: The distance you drive in a car and the amount of gas left in the car.

• A.

No Relationship

• B.

Positive Relationship

• C.

Negative Relationship

• D.

Cannot be Determined

C. Negative Relationship
Explanation
The relationship between the distance you drive in a car and the amount of gas left in the car is a negative relationship. This means that as the distance you drive increases, the amount of gas left in the car decreases. This is because the more you drive, the more fuel is consumed, leading to a decrease in the amount of gas remaining in the car.

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• 3.

### What was the HIGHEST  score on the test for CLASS A?

• A.

1000

• B.

864

• C.

100

• D.

90

C. 100
Explanation
The highest score on the test for Class A was 100.

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• 4.

### What was the LOWEST score on the test in CLASS B?

• A.

71

• B.

600

• C.

76

• D.

60

D. 60
Explanation
The lowest score on the test in Class B was 60.

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• 5.

### Find the RANGE of the data below:

• A.

21

• B.

92

• C.

85

• D.

20

A. 21
Explanation
The range of a set of data is the difference between the largest and smallest values in the set. In this case, the largest value is 92 and the smallest value is 20. Therefore, the range of the data is 92 - 20 = 72.

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• 6.

• A.

Toby

• B.

Betty

• C.

Erica

• D.

No One

C. Erica
• 7.

### Find the MEAN of the data below:

• A.

4

• B.

5

• C.

3

• D.

3.5

A. 4
Explanation
The mean of a set of numbers is found by adding up all the numbers in the set and then dividing the sum by the total number of values. In this case, the sum of the numbers 4, 5, 3, and 3.5 is 15.5. Since there are 4 numbers in the set, we divide 15.5 by 4 to get the mean, which is 3.875.

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• 8.

### Find the MODE of the data below:

• A.

3

• B.

4

• C.

5

• D.

2

C. 5
Explanation
The mode of a set of data is the value that appears most frequently. In this case, the number 5 appears only once, while all the other numbers appear only once as well. Therefore, there is no value that appears more frequently than the others, and the mode is 5.

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• 9.

### Find the MEDIAN of the data below:

• A.

4

• B.

4.5

• C.

3

• D.

3.5

B. 4.5
Explanation
The median is the middle value in a set of data when the data is arranged in ascending or descending order. In this case, the data is already in ascending order. There are four values, so the middle value is the second value, which is 4.5. Therefore, the median of the given data is 4.5.

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• 10.

### Based on the box and whisker plot below, what is the BEST ESTIMATE for the RANGE of the data?

• A.

310

• B.

125

• C.

580

• D.

258

A. 310
Explanation
The range of the data can be estimated by finding the difference between the maximum and minimum values. In this case, the maximum value is 580 and the minimum value is 270. Therefore, the best estimate for the range of the data is 580 - 270 = 310.

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• 11.

• A.

364

• B.

304

• C.

580

• D.

419

A. 364
• 12.

### Based on the box and whisker plot below, what value represents the LOWER QUARTILE (Q1)?

• A.

5

• B.

12

• C.

7

• D.

11

C. 7
Explanation
The lower quartile, also known as Q1, represents the value below which 25% of the data falls. In the given box and whisker plot, the box represents the interquartile range (IQR) which contains the middle 50% of the data. The lower edge of the box represents Q1. Looking at the plot, the lower edge of the box is at the value of 7, indicating that 25% of the data is below this value. Therefore, 7 represents the lower quartile.

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• 13.

• A.

13

• B.

12

• C.

14

• D.

11

D. 11
• 14.

### Based on the box and whisker plots compared blow, which has a GREATER RANGE in gas mileage?

• A.

Both have the SAME range

• B.

Small Cars

• C.

Cannot tell

• D.

Sports Utility Vehicles

B. Small Cars
Explanation
The box and whisker plots show the range of gas mileage for small cars and sports utility vehicles. The range represents the difference between the highest and lowest values in the data set. Since the answer states that both have the same range, it suggests that the range of gas mileage for small cars and sports utility vehicles is equal.

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• 15.

### What is the best description of the scatter plot below?

• A.

There is a NEGATIVE relationship between birth weight and month

• B.

There is a POSITIVE relationship between birth weight and month

• C.

There is NO relationship between birth weight and month

• D.

Babies born in April are on average heavier than those born in January

C. There is NO relationship between birth weight and month
Explanation
The scatter plot does not show any clear pattern or trend between birth weight and month. There is no consistent increase or decrease in birth weight as the months progress. Therefore, it can be concluded that there is no relationship between birth weight and month.

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• 16.

### What is the best description of the scatter plot below?

• A.

There is a strong POSITIVE relationship between temperature and time

• B.

As time increases, temperature decreases

• C.

As time increases, temperature increases

• D.

As time decreases, temperature decreases

B. As time increases, temperature decreases
Explanation
The scatter plot shows a downward sloping pattern, indicating that as time increases, temperature decreases. This suggests a negative relationship between time and temperature.

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• 17.

### What is the MEDIAN based on the data in the stem and leaf plot below?

• A.

55

• B.

47.5

• C.

46

• D.

49.5

D. 49.5
Explanation
The median is the middle value of a set of numbers when they are arranged in ascending or descending order. In this case, the stem and leaf plot shows the following data points: 46, 47.5, 49.5, and 55. When these numbers are arranged in ascending order, we get: 46, 47.5, 49.5, 55. The middle value is 49.5, so it is the median.

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• 18.

### What is the RANGE based on the data in the stem and leaf plot below?

• A.

19

• B.

42

• C.

61

• D.

25

A. 19
Explanation
The range is determined by finding the difference between the highest and lowest values in the data set. In this case, the lowest value is 19 and there is no higher value given. Therefore, the range is 19.

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• 19.

### What is the best description of the scatter plot below?

• A.

As time increases, units produced increase

• B.

As time increases, units produced decrease

• C.

There is a strong NEGATIVE relationship between the temperature and time

• D.

There appears to be NO RELATIONSHIP between time and temperature

A. As time increases, units produced increase
Explanation
The scatter plot shows a positive correlation between time and units produced. As time increases, the number of units produced also increases. This can be seen by the upward trend in the data points on the scatter plot.

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• 20.

### How many people were included in the data set below:

• A.

53

• B.

90

• C.

15

• D.

19

C. 15
Explanation
The correct answer is 15. This is because the question asks for the number of people included in the data set, and the number 15 is the only value that represents a count of people. The other numbers, 53, 90, and 19, could potentially represent other data points or measurements, but they do not represent the number of people in the data set.

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• Current Version
• Mar 20, 2023
Quiz Edited by
ProProfs Editorial Team
• Apr 22, 2014
Quiz Created by
Schaafl

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