Warm Up – Find the mean, median & mode of each set. Data Set I Data Set II

Solution Data Set I Mean is Median is 400 Mode is 300 Data Set II Mean is 474 Median is 350 Mode is 300 Data Set II Data Set I

Three Measures of Center 1.Mean- average of your values To find- add all values up and divide by how many you have 2.Median- middle number to find- arrange from least to greatest 3. Mode- most repeated number to find- look for number most often listed

When to use which measure of center… Use mean  when you DO NOT have an outlier Use median  when you DO have an outlier

Yesterday we talked displaying data using a histogram, another way to display data is through a box plot. To construct a box plot you need your “5 Number Summary”

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 Q 1 Median Q 3 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 L 1. 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

Solution Minimum – 3 Maximum – 220 Median – 39 Q1 – 11 Q3 – 61

Use the data below to create the following: 1)Frequency Table 2)Histogram 3)Box Plot 4)Describe the distribution using SOCS

You try! Below is a stem and leaf plot of the amount of money spent by 25 shoppers at a grocery store. StemLeaf Key: 4  2 = $42 1.Find the mean, median, and mode 2.Create a box plot of the data