6.3: 5 number summary& box and whisker plot

I can find the numbers in the 5 number summary and display

them on a box and whisker plot.

Five-Number Summary• 5 number summary:

– Minimum, 1st Quartile (Q1), Median (Q2), 3rd Quartile (Q3), Maximum

• Q1—median of the 1st half• Q3—median of the 2nd half

• Range: difference between Max and Min (Max minus Min)• IQR (interquartile range): Q3 - Q1

• Finding Five-Number Summary1. Order data set from least to greatest2. Identify minimum and maximum3. Find the median4. Find the median of lower half (Q1)5. Find the median of the upper half (Q3)

Chicago Bulls Total points scored

Michael Jordan 2357

Toni Kikoc 984

Scottie Pippen 841

Ron Harper 764

Luc Longley 663

Scott Burrell 416

Steve Kerr 376

Dennis Rodman 375

Randy Brown 288

Jud Buechler 198

Bill Wennington 167

Points scored by Chicago Bulls players who played in more than 40 games in the 1997-1998 season

5- number summary: how to find

Step 1: order the data from smallest to largest.

167 198 288 375 376 416 663 764 841 984 2357

Step 2: Find the minimum and maximum values

Step 3: Find the median.

Step 4: Find Q1 (median of lower half).

Step 5: Find Q3 (median of upper half).

Min: ____ Max: ____Q1: ____ Median: ____ Q3: ____167 2357416288 841

167 198 288 375 376 416 663 764 841 984 2357 167 198 288 375 376 416 663 764 841 984 2357 167 198 288 375 376 416 663 764 841 984 2357 167 198 288 375 376 416 663 764 841 984 2357 167 198 288 375 376 416 663 764 841 984 2357

Min: ____ Max: ____Q1: ____ Median: ____ Q3: ____167 2357416288 841

100 300 500 700 900 1100 1300 1500 1700 1900 2100 2300

Above a number line:1. Mark the minimum and maximum with a point.2. Mark Q1, median and Q3 with a short vertical line.3. Connect vertical lines to make a box4. Connect box to minimum and maximum with a single line.

Create a Box and Whisker Plot

Min: ____ Max: ____Q1: ____ Median: ____ Q3: ____7 922217 33.5

0 10 20 30 40 50 60 70 80 90 100

Above a number line:1. Mark the minimum and maximum with a point.2. Mark Q1, median and Q3 with a short vertical line.3. Connect vertical lines to make a box4. Connect box to minimum and maximum with a single line.

Create a Box and Whisker Plot7 10 14 14 20 21 21 21 23 26 30 32 35 38 80 92

Percentiles: separates data into 100 equal parts. Percentile rank: is the percentage of data values that are less than or equal to that value.

Finding a percentile rank.

Of 25 test scores, 8 are less than or equal to 75. what is the percentile rank of a test score of 75?

1. Write the info as a ratio825

2. Rewrite the fraction as a percent=32%

The percentile rate of 75 is 32%.

Homework

Ws 6.3

1a, 1b, 5