Warm Up – Find the mean, median & mode of each set.

Data Set I

Data Set II

Solution

• Data Set IMean is 483.8461538Median is 400Mode is 300

Data Set IIMean is 474Median is 350Mode is 300

Data Set II

Data Set I

Boxplots

When to use which measure of center…

Use mean when you DO NOT have an outlier

Use median when you DO have an outlier

To create a Box Plot you need the 5 Number Summary

Minimum- smallest value

Quartile 1 (Q1) – median of lower half of data Median- middle value

Quartile 3 (Q3) – median of upper half of data

Maximum – largest value

Where does everything go?....

Min Q1 Median Q3 Max

Lower Upper Quartile Quartile

“median of lower half” “median of upper half”

Example 1

Create a box plot of the data below 59, 27, 18, 78, 61, 91, 52, 34, 54,

93, 100, 87, 85, 82, 68

Luckily….

Our calculator will tell you your 5 number summary

Step 1: Enter the height data in L1.

STAT EDIT

Step 2: STAT CALC 1: 1-Var Stats Enter

Example 2:Use the following data set to create a

five-number summary and graph the box-and-whisker plot

87, 7, 41, 50, 15, 220, 23, 99, 11, 45, 11, 61, 3, 39, 21

SolutionMinimum – 3

Maximum – 220Median – 39

Q1 – 11Q3 – 61

Use the data below to create the following:

1)Frequency Table2)Histogram3)Box Plot4)Describe the distribution using SOCS