Measures of Central Tendency Review

What is the formula to calculate the mean of a set of numbers?

• Sum of all numbers * Total count of numbers

• Sum of all numbers - Total count of numbers

• Total count of numbers / Sum of all numbers

• Sum of all numbers / Total count of numbers

Answer explanation

The correct formula to calculate the mean of a set of numbers is to divide the sum of all numbers by the total count of numbers.

Tags

CCSS.6.SP.B.5C

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

• Choose the lowest value as the median.

• Add all values and divide by the total count.

• Take the average of the two middle values.

• Select the highest value as the median.

Answer explanation

The correct way to calculate the median of a data set with an even number of values is to arrange all the values in order and then take the average of the two middle values.

Tags

CCSS.6.SP.B.5C

What is the value that appears most frequently in a data set known as?

• mode

• mean

• average

• median

Answer explanation

The value that appears most frequently in a data set is known as the mode. It is the correct answer choice in this case.

Tags

CCSS.6.SP.A.3

How is the range of a data set calculated?

• Range = Mode Value - Minimum Value

• Range = Sum of all values

• Range = Maximum Value - Minimum Value

• Range = Mean Value - Median Value

Answer explanation

The range of a data set is calculated by subtracting the minimum value from the maximum value, making the correct answer choice: Range = Maximum Value - Minimum Value.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

What are outliers in a data set?

• Outliers in a data set are data points that significantly differ from other data points in the set.

• Outliers are data points that are always accurate

• Outliers are data points that have no impact on the analysis

• Outliers are the most common data points in a set

Answer explanation

Outliers in a data set are data points that significantly differ from other data points in the set.

Tags

TEKS.MATH.8.11B

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

• 20

• 28

• 18

• 22

Answer explanation

The mean is calculated by adding all numbers together and dividing by the total count. (10+15+20+25+30)/5 = 20. Therefore, the mean of the numbers is 20.

Tags

CCSS.6.SP.B.5C

Find the median of the following set of numbers: 5, 10, 15, 20, 25, 30

• 22.5

• 35

• 17.5

• 12.5

Answer explanation

The median is the middle number when the numbers are arranged in ascending order. In this case, the median is 17.5, as it is the middle number in the set: 5, 10, 15, 20, 25, 30.

Tags

TEKS.MATH.8.2D

Identify the mode in the following data set: 2, 4, 4, 6, 8, 8, 8, 10

• 8

• 2

• 6

• 10

Answer explanation

The mode is the number that appears most frequently in a data set. In this case, the number 8 appears three times, which is more frequent than any other number in the set, making 8 the mode.

Tags

CCSS.6.SP.B.5C

Determine the range of the data set: 12, 15, 18, 21, 24, 27

• 15

• 20

• 9

• 30

Answer explanation

The range of a data set is the difference between the maximum and minimum values. In this case, the range is 27 - 12 = 15. Therefore, the correct answer is 15.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

How do outliers affect the measures of central tendency in a data set?

• Outliers can distort the mean and median, making them less representative of the central tendency of the data set.

• Outliers have no impact on measures of central tendency

• Outliers increase the accuracy of the mean and median

• Outliers always perfectly represent the central tendency of the data set

Answer explanation

Outliers can distort the mean and median, making them less representative of the central tendency of the data set.

Tags

TEKS.MATH.8.11B