GED Math Mean Median Mode Statistics Quiz

1. What is the mean of the following numbers: 12, 15, 18, 21, 24?

15

18

20

22

To find the mean, sum all the numbers (12 + 15 + 18 + 21 + 24 = 90) and divide by the total count of numbers (5). This gives 90 ÷ 5 = 18, which represents the average value of the dataset.

Explanation

To find the mean, sum all the numbers (12 + 15 + 18 + 21 + 24 = 90) and divide by the total count of numbers (5). This gives 90 ÷ 5 = 18, which represents the average value of the dataset.

2. Find the median of this data set: 5, 8, 12, 9, 3, 7, 11.

7

8

9

10

To find the median, first, arrange the data set in ascending order: 3, 5, 7, 8, 9, 11, 12. The median is the middle value in a sorted list. With seven numbers, the fourth number is the median, which is 8. Thus, the median of the data set is 8.

Explanation

To find the median, first, arrange the data set in ascending order: 3, 5, 7, 8, 9, 11, 12. The median is the middle value in a sorted list. With seven numbers, the fourth number is the median, which is 8. Thus, the median of the data set is 8.

3. Which number appears most frequently in this set: 4, 7, 4, 9, 7, 4, 2?

2

4

7

9

In the given set of numbers, 4 appears three times, while 7 appears twice, and both 2 and 9 appear only once. Since 4 occurs more frequently than any other number, it is identified as the mode of the set.

Explanation

In the given set of numbers, 4 appears three times, while 7 appears twice, and both 2 and 9 appear only once. Since 4 occurs more frequently than any other number, it is identified as the mode of the set.

4. A student's test scores are 78, 85, 92, 88, and 82. What is the mean score?

82

85

87

90

To find the mean score, add all the test scores together: 78 + 85 + 92 + 88 + 82 = 425. Then, divide the total by the number of scores, which is 5. Thus, 425 ÷ 5 = 85, making 85 the mean score of the student's test results.

Explanation

To find the mean score, add all the test scores together: 78 + 85 + 92 + 88 + 82 = 425. Then, divide the total by the number of scores, which is 5. Thus, 425 ÷ 5 = 85, making 85 the mean score of the student's test results.

5. The data set is: 10, 14, 14, 18, 22, 26. What is the mode?

14

18

22

No mode

The mode of a data set is the number that appears most frequently. In this case, the number 14 appears twice, while all other numbers appear only once. Therefore, 14 is the mode of the data set, indicating it is the most common value.

Explanation

The mode of a data set is the number that appears most frequently. In this case, the number 14 appears twice, while all other numbers appear only once. Therefore, 14 is the mode of the data set, indicating it is the most common value.

6. If the mean of five numbers is 16, what is the sum of all five numbers?

70

75

80

85

To find the sum of five numbers when the mean is known, multiply the mean by the total count of numbers. Here, the mean is 16 and there are five numbers: 16 x 5 = 80. Thus, the sum of all five numbers is 80.

Explanation

To find the sum of five numbers when the mean is known, multiply the mean by the total count of numbers. Here, the mean is 16 and there are five numbers: 16 x 5 = 80. Thus, the sum of all five numbers is 80.

7. For the data set 3, 5, 7, 9, 11, what is the median?

5

7

9

11

To find the median, first arrange the data set in ascending order: 3, 5, 7, 9, 11. Since there are five numbers (an odd count), the median is the middle value. The third number in this ordered list is 7, making it the median of the data set.

Explanation

To find the median, first arrange the data set in ascending order: 3, 5, 7, 9, 11. Since there are five numbers (an odd count), the median is the middle value. The third number in this ordered list is 7, making it the median of the data set.

8. A data set has values: 20, 25, 30, 35, 40. The mean is and the median is .

To find the mean, sum the values (20 + 25 + 30 + 35 + 40 = 150) and divide by the number of values (150 ÷ 5 = 30). The median is the middle value in a sorted list. With five numbers, the third value (30) is the median. Thus, both the mean and median are 30.

Explanation

To find the mean, sum the values (20 + 25 + 30 + 35 + 40 = 150) and divide by the number of values (150 ÷ 5 = 30). The median is the middle value in a sorted list. With five numbers, the third value (30) is the median. Thus, both the mean and median are 30.

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9. Which measure of central tendency is most affected by outliers?

Median

Mode

Mean

Range

The mean is the average of a set of values and is calculated by summing all the numbers and dividing by the count. Outliers, which are extreme values, can significantly skew the mean, making it less representative of the data set. In contrast, the median and mode are less influenced by such extreme values.

Explanation

The mean is the average of a set of values and is calculated by summing all the numbers and dividing by the count. Outliers, which are extreme values, can significantly skew the mean, making it less representative of the data set. In contrast, the median and mode are less influenced by such extreme values.

10. The range of a data set is the difference between the ____ and smallest values.

The range of a data set measures the spread of values by calculating the difference between the highest (largest) and lowest (smallest) values. This provides insight into the variability within the data, indicating how spread out the values are from one another.

Explanation

The range of a data set measures the spread of values by calculating the difference between the highest (largest) and lowest (smallest) values. This provides insight into the variability within the data, indicating how spread out the values are from one another.

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12. A store's daily sales for one week are: $450, $520, $480, $510, $490, $530, $500. What is the median daily sales?

$490

$500

$510

$520

To find the median, first arrange the daily sales in ascending order: $450, $480, $490, $500, $510, $520, $530. Since there are seven values, the median is the fourth value in the ordered list, which is $510. This represents the middle point of the sales data for the week.

Explanation

To find the median, first arrange the daily sales in ascending order: $450, $480, $490, $500, $510, $520, $530. Since there are seven values, the median is the fourth value in the ordered list, which is $510. This represents the middle point of the sales data for the week.