Finding the MMMR, Quartiles & IQR

Finding the MMMR, Quartiles & IQR

Work through the slides to find each value!

Finding the "Mean"

• "Mean" is just another word for average

• To find the mean, add all the numbers in your data and divide the sum by the total number of numbers

Multiple Choice

What is the mean of the following data? Round to the nearest tenth

1, 7, 5, 2, 3, 8, 9, 4, 5, 6, 6, 7, 8, 8, 1

• 5

• 5.3

• 80

• 5.4

Finding the "Median"

• The median is the "middle" number in the data

• To find the median, order the numbers from least to greatest

• Count down until you have a single middle number

• If you have two middle numbers, find the mean of those numbers

Multiple Choice

What is the median of the following data?

1, 7, 5, 2, 3, 8, 9, 4, 5, 6, 6, 7, 8, 8, 1

• 5

• 6.5

• 5.5

• 6

Finding the "Mode"

• The mode is the most frequent occurring number

Multiple Choice

What is the mode for the following set of data?

1, 7, 5, 2, 3, 8, 9, 4, 5, 6, 6, 7, 8, 8, 1

• 1

• 5

• 6

• 7

• 8

Finding the "Range"

• The range is the difference between your biggest value and smallest value.

• To find the range, you subtract your smallest value from your biggest value

Multiple Choice

Find the range of the follwoing data

1, 7, 5, 2, 3, 8, 9, 4, 5, 6, 6, 7, 8, 8, 1

• 9

• 7

• 8

• 10

Finding Quartile 1 (Q1)

• Find the median (Q2) first. If there is one number in the middle, DO NOT use it to find your quartiles!

• Once the median is found, find the median of the first half of data.

• The second median you find is your Q1 value.

Multiple Choice

Find the Q1 value of the following data

1, 7, 5, 2, 3, 8, 9, 4, 5, 6, 6, 7, 8, 8, 1

• 3

• 2

• 4

• 1

Finding Quartile 3 (Q3)

• Find the median (Q2) first. If there is one number in the middle, DO NOT use it to find your quartiles!

• Once the median is found, find the median of the second half of data.

• The third median you find is your Q3 value.

Multiple Choice

Find the Q3 value of the following data

1, 7, 5, 2, 3, 8, 9, 4, 5, 6, 6, 7, 8, 8, 1

• 8

• 9

• 7

• 6

Find the Interquartile Range (IQR)

• Find both Q1 and Q3

• Subtract Q3 - Q1 = IQR

Multiple Choice

Find the IQR value of the following data

1, 7, 5, 2, 3, 8, 9, 4, 5, 6, 6, 7, 8, 8, 1

• 3

• 5

• 8

• 11