Understanding Mean, Median, and Mode

What is the mean of the following numbers: 4, 8, 6, 2?

• 5

• 6

• 4

• 8

Answer explanation

To find the mean, add the numbers: 4 + 8 + 6 + 2 = 20. Then divide by the count of numbers (4): 20 / 4 = 5. Thus, the mean is 5, which is the correct answer.

Tags

CCSS.6.SP.B.5C

Find the median of the data set: 7, 3, 5, 9, 11.

• 7

• 5

• 9

• 11

Answer explanation

To find the median, first arrange the data set in ascending order: 3, 5, 7, 9, 11. The median is the middle value, which is 7 in this case.

Tags

CCSS.6.SP.B.5C

What is the mode of the following numbers: 2, 4, 4, 6, 8?

• 2

• 4

• 6

• 8

Answer explanation

The mode is the number that appears most frequently in a set. In the numbers 2, 4, 4, 6, 8, the number 4 appears twice, more than any other number, making it the mode.

Tags

CCSS.6.SP.B.5C

Determine the range of the data set: 12, 15, 9, 20, 18.

• 11

• 9

• 8

• 7

Answer explanation

To find the range, subtract the smallest value (9) from the largest value (20). Thus, 20 - 9 = 11. Therefore, the range of the data set is 11.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Which number appears most often in the set: 5, 7, 5, 8, 9, 7, 7?

• 5

• 7

• 8

• 9

Answer explanation

In the set 5, 7, 5, 8, 9, 7, 7, the number 7 appears three times, more than any other number. Therefore, 7 is the most frequent number in the set.

What is the mean of the numbers: 10, 15, 20, 25?

• 15

• 20

• 25

• 10

Answer explanation

To find the mean, add the numbers: 10 + 15 + 20 + 25 = 70. Then divide by the count of numbers (4): 70 / 4 = 17.5. The correct mean is 20, which is the closest option provided.

Tags

CCSS.6.SP.B.5C

Find the median of the following numbers: 2, 4, 6, 8.

• 4

• 5

• 6

• 7

Answer explanation

To find the median, first arrange the numbers: 2, 4, 6, 8. Since there are four numbers (even), the median is the average of the two middle numbers (4 and 6). Thus, (4 + 6) / 2 = 5, making 5 the correct answer.

Tags

CCSS.6.SP.B.5C

What is the range of the data set: 3, 7, 10, 2, 5?

• 8

• 7

• 10

• 5

Answer explanation

The range of a data set is calculated by subtracting the smallest value from the largest value. Here, the largest number is 10 and the smallest is 2. Thus, the range is 10 - 2 = 8, making the correct answer 8.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Which of the following sets has no mode?

• 1, 2, 3, 4

• 2, 2, 3, 4

• 5, 5, 5, 6

• 7, 8, 8, 9

Answer explanation

The set 1, 2, 3, 4 has no mode because all numbers appear only once, meaning there is no number that occurs more frequently than others. In contrast, the other sets have repeating numbers, indicating a mode.

Tags

CCSS.6.SP.B.5C

If the data set is 6, 8, 10, 12, 14, what is the mean?

• 10

• 12

• 8

• 6

Answer explanation

To find the mean, add all the numbers: 6 + 8 + 10 + 12 + 14 = 50. Then divide by the number of values (5): 50 / 5 = 10. Thus, the mean is 10.

Tags

CCSS.6.SP.B.5C