Mean, Median, Mode, Range, Interquartile Range

Define range in statistics.

• The range is the difference between the highest and lowest values in a data set.

• The range is the average of all values in a data set.

• The range is the sum of all values in a data set divided by the number of values.

• The range is the value that appears most frequently in a data set.

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CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

What is the mean of a set of numbers?

• The mean is the sum of all numbers divided by the total count of numbers.

• The mean is the largest number in the set.

• The mean is the smallest number in the set.

• The mean is the product of all numbers divided by the total count of numbers.

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CCSS.6.SP.B.5C

How do you calculate the range of the data set 1.43, 1.05, 34, 56, 89, 1.1?

• Range = Maximum - Minimum = 89 - 1.05 = 87.95

• Range = Maximum + Minimum = 89 + 1.05 = 90.05

• Range = Average of Maximum and Minimum = (89 + 1.05) / 2 = 45.525

• Range = Maximum - Minimum = 56 - 1.1 = 54.9

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CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

If a data set has the numbers 32, 35, 35, 36, 39, 40, 44, 48, 49, what is the IQR?

• 9

• 11

• 14

• 7

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CCSS.6.SP.B.5C

What is the process to find the interquartile range?

• Calculate Q3 - Q1

• Add Q1 and Q3

• Multiply Q1 by Q3

• Subtract Q1 from Q3

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CCSS.6.SP.B.5C

How do you find the third quartile (Q3)?

• Q3 is the mean of the entire data set.

• Q3 is the median of the upper half of the data set (the second half of the ordered data).

• Q3 is the maximum value of the data set.

• Q3 is the median of the lower half of the data set.

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CCSS.6.SP.B.5C

How do you find the median of a data set?

• Arrange the numbers in order from least to greatest and identify the middle number. If there is an even number of values, the median is the average of the two middle numbers.

• Add all the numbers together and divide by the total count to find the average.

• Select the highest number in the data set as the median.

• Count the total number of values and choose the first number as the median.

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CCSS.6.SP.B.5C

How do you find the mean of the numbers 18, 2, 0, 0, 0?

• 2

• 4

• 5

• 10

What is the interquartile range (IQR)?

• The average of the first and third quartiles.

• The difference between the third quartile (Q3) and the first quartile (Q1).

• The range of the entire data set.

• The median of the data set.

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CCSS.6.SP.B.5C

What is mode in a data set?

• The average value of the data set.

• The number that appears most frequently in a data set.

• The middle value when the data set is ordered.

• The range of values in the data set.

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CCSS.6.SP.B.5C