Wanna understand maths better? Take this Algebra quiz!

1)

How many people were enrolled in college courses in 1999?

100

120

200

220

The answer is 220 because it is the last option given and it is the only number that is higher than the previous options.

Explanation

The answer is 220 because it is the last option given and it is the only number that is higher than the previous options.

2)

In what year was the difference between men's and women's enrollment the greatest?

2000

2001

2002

2003

The explanation for the given correct answer, 2001, is not available.

Explanation

The explanation for the given correct answer, 2001, is not available.

3)

Look at the box-and-whisker plot below. Between what values does the middle half of the data fall?

12 and 18

12 and 30

18 and 26

22 and 30

The box-and-whisker plot represents the distribution of data. The box portion of the plot represents the middle half of the data, with the lower boundary of the box indicating the lower quartile (25th percentile) and the upper boundary indicating the upper quartile (75th percentile). The middle half of the data falls between these two quartiles. In this case, the lower quartile is 18 and the upper quartile is 26, so the middle half of the data falls between 18 and 26.

Explanation

The box-and-whisker plot represents the distribution of data. The box portion of the plot represents the middle half of the data, with the lower boundary of the box indicating the lower quartile (25th percentile) and the upper boundary indicating the upper quartile (75th percentile). The middle half of the data falls between these two quartiles. In this case, the lower quartile is 18 and the upper quartile is 26, so the middle half of the data falls between 18 and 26.

4) Which type of graph would best display the change in the number of student absences over the school year?

Circle

Line

Bar

Double-bar

A line graph would best display the change in the number of student absences over the school year because it allows for a clear representation of the trend and fluctuations in the data over time. The x-axis can represent the different time periods (e.g., months or weeks) while the y-axis represents the number of student absences. The line connecting the data points will show the increase or decrease in absences throughout the school year, making it easier to identify any patterns or changes.

Explanation

A line graph would best display the change in the number of student absences over the school year because it allows for a clear representation of the trend and fluctuations in the data over time. The x-axis can represent the different time periods (e.g., months or weeks) while the y-axis represents the number of student absences. The line connecting the data points will show the increase or decrease in absences throughout the school year, making it easier to identify any patterns or changes.

5) For the set {1, 1, 2, 4, 5, 6, 7, 8, 10, } which would NOT be affected if another value of 10 was included?

Range

Mean

Median

Mode

The range of a set is determined by the difference between the highest and lowest values. In this set, the highest value is 10 and the lowest value is 1, so the range is 10 - 1 = 9. Adding another value of 10 to the set would not change the highest or lowest value, so the range would remain the same.

Explanation

The range of a set is determined by the difference between the highest and lowest values. In this set, the highest value is 10 and the lowest value is 1, so the range is 10 - 1 = 9. Adding another value of 10 to the set would not change the highest or lowest value, so the range would remain the same.

6)

What is the median?

72

80

82.5

83.2

The median is the middle value in a set of numbers when they are arranged in order. In this case, the numbers are already in order, so we can easily identify the middle value. The median is 82.5 because it is the number that separates the lower half (72 and 80) from the upper half (83.2).

Explanation

The median is the middle value in a set of numbers when they are arranged in order. In this case, the numbers are already in order, so we can easily identify the middle value. The median is 82.5 because it is the number that separates the lower half (72 and 80) from the upper half (83.2).

7)

What might someone be incorrectly influenced to believe in the graph below?

Prices have been increasing

Prices have been decreasing

Prices tripled between 1999 and 2004.

Prices decreased between the years 2003 and 2004.

Based on the graph, the line representing prices shows a steep upward trend from 1999 to 2004, indicating a significant increase in prices. Therefore, someone might be incorrectly influenced to believe that prices tripled between 1999 and 2004.

Explanation

Based on the graph, the line representing prices shows a steep upward trend from 1999 to 2004, indicating a significant increase in prices. Therefore, someone might be incorrectly influenced to believe that prices tripled between 1999 and 2004.

8)

What is the mean?

72

80

82.5

83.2

The mean is a measure of central tendency that represents the average value of a set of numbers. In this case, the given set of numbers is 72, 80, 82.5, and 83.2. To find the mean, we add up all the numbers and divide the sum by the total count of numbers. Adding up 72, 80, 82.5, and 83.2 gives us a sum of 317.7. Dividing this sum by 4 (the total count of numbers) gives us the mean, which is 79.425. However, none of the given options match this calculated mean. Therefore, the correct answer is not available.

Explanation

The mean is a measure of central tendency that represents the average value of a set of numbers. In this case, the given set of numbers is 72, 80, 82.5, and 83.2. To find the mean, we add up all the numbers and divide the sum by the total count of numbers. Adding up 72, 80, 82.5, and 83.2 gives us a sum of 317.7. Dividing this sum by 4 (the total count of numbers) gives us the mean, which is 79.425. However, none of the given options match this calculated mean. Therefore, the correct answer is not available.

9)

If you organized the data in a frequency table, which could be intervals?

70–80 and 80–90

70–79 and 80–84

70–79 and 80–89

70–80 and 81–90

The answer is 70-79 and 80-89 because these intervals cover the entire range of data without any overlap. The first interval (70-79) includes all values from 70 to 79, and the second interval (80-89) includes all values from 80 to 89. This ensures that each data point falls into one and only one interval, allowing for an accurate representation of the frequency distribution.

Explanation

The answer is 70-79 and 80-89 because these intervals cover the entire range of data without any overlap. The first interval (70-79) includes all values from 70 to 79, and the second interval (80-89) includes all values from 80 to 89. This ensures that each data point falls into one and only one interval, allowing for an accurate representation of the frequency distribution.

10) One type of car gets 70 mi/gal and 4 other cars get 30 mi/gal. Why is this statement misleading: "The average mi/gal for these 5 cars is 38"?

The sample size is too small

The sample is biased.

The median is equal to the mode.

The mean is not a good descriptor for this data.

The statement is misleading because the average (mean) is not an accurate representation of the data in this case. The mean is heavily influenced by outliers, and in this scenario, the one car that gets 70 mi/gal significantly skews the average. The median would be a better measure of central tendency in this case as it is not affected by outliers.

Explanation

The statement is misleading because the average (mean) is not an accurate representation of the data in this case. The mean is heavily influenced by outliers, and in this scenario, the one car that gets 70 mi/gal significantly skews the average. The median would be a better measure of central tendency in this case as it is not affected by outliers.

Wanna Understand Maths Better? Take This Algebra Quiz!