Mean Mode Median

Calculate the mean of the following numbers: 10, 15, 20, 25, 30

• 22

• 20

• 28

• 18

Answer explanation

To calculate the mean, add all numbers together and divide by the total count. (10+15+20+25+30)/5 = 20. Therefore, the mean is 20.

Tags

CCSS.6.SP.B.5C

Find the mode of the following set of numbers: 5, 7, 7, 9, 9, 9, 11

• 9

• 5

• 7

• 11

Answer explanation

The mode is the number that appears most frequently in a set. In this case, 9 appears three times, which is more than any other number in the set, making 9 the mode.

Tags

CCSS.6.SP.B.5C

Identify the median of the data set: 12, 15, 18, 21, 24, 27

• 15

• 21

• 27

• 18

Answer explanation

The median is the middle value when the data set is arranged in ascending order. In this case, the median is 18 as it is the middle value of the set: 12, 15, 18, 21, 24, 27.

Tags

CCSS.6.SP.B.5C

Explain the difference between mean and median.

• The mean is always equal to the median.

• The mean is the average of a set of numbers, calculated by adding them together and dividing by the total count. The median is the middle value in a list of numbers when they are ordered from smallest to largest.

• The median is the sum of all numbers in a set.

• The mean is the smallest value in a set of numbers.

Answer explanation

The mean is the average of a set of numbers, calculated by adding them together and dividing by the total count. The median is the middle value in a list of numbers when they are ordered from smallest to largest.

Tags

CCSS.6.SP.B.5C

If a data set has an even number of values, how is the median calculated?

• Sum of all values

• Product of all values

• Minimum value

• Average of the two middle values

Answer explanation

The median of a data set with an even number of values is calculated by finding the average of the two middle values.

Tags

CCSS.6.SP.B.5C

What is the mode of a data set with no repeating values?

• All values

• Average of all values

• None of the values

• Median of all values

Answer explanation

The mode of a data set with no repeating values is all values, as each value occurs only once and is considered the mode.

Calculate the mean of the following numbers: 3, 3, 3, 3, 3

• 4

• 2

• 5

• 3

Answer explanation

The mean is calculated by adding all numbers together and dividing by the total count. In this case, (3+3+3+3+3)/5 = 3.

Tags

CCSS.6.SP.B.5C

Find the mode of the following set of numbers: 2, 4, 6, 8, 10

• There is no mode

• The mode is 2

• The mode is 4

• The mode is 6

Answer explanation

The correct answer is 'There is no mode' because all numbers appear only once, so there is no number that appears more frequently than others.

Tags

CCSS.6.SP.B.5C

Identify the median of the data set: 17, 19, 21, 23, 25

• 23

• 27

• 21

• 19

Answer explanation

The median is the middle value when the data set is arranged in ascending order. In this case, the median is 21 as it is the middle value of the set: 17, 19, 21, 23, 25.

Tags

CCSS.6.SP.B.5C

In what scenario would the mean and median be the same value?

• Skewed data set

• Bimodal distribution

• Symmetrically distributed data set

• Outliers present

Answer explanation

The mean and median would be the same value in a symmetrically distributed data set where the data is evenly spread around the center, resulting in equal mean and median values.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2