Unit 9 – Day 4 Name: Date: Integrated Math 4G: NOTES Statistics – Box and Whisker Plots Two Types of Data: 1) Quantitative – 2) Qualitative – Ex 1) {yes, no, no} Ex 2) {2, 4, 4, 8} Ex 3) {1, 1, 1, 2, 6} Ex 4) {blue, red, red} Now on to box and whisker plots…

Numerical data - meaning the data you are collecting is a number. This will be the type of data you'll collect for your project next semester.Non-numerical data - meaning the data you are collecting is not a number.

Unit 9 – Day 4 Box and Whisker Plots: To make a box and whisker plot – 1) Draw a number line slightly

longer than the range of your data. 2) Find the median of the data set.

(called 𝑄2)

3) Find the median of the first half

of the data set. (called 𝑄1) 4) Find the median of the second half

of the data set. (called 𝑄3) 5) Connect 𝑄1, 𝑄2, and 𝑄3 with a

“box”. 6) Draw lines out from the box to the

lower range and upper range. Ex 5) Make a box and whisker plot for: Ex 6) Make a box and whisker plot for: {2, 4, 5, 6, 8, 9, 10, 10, 11, 12} {23, 21, 28, 23, 30, 29, 35}

Unit 9 – Day 4 Name: Date: Integrated Math 4G: CLWK Statistics – Box and Whisker Plots Answer the following questions on the front only. When you are done, look at the timer and write down your time on your paper to the nearest second. Try your best to get these answers not only filled in, but also correct. Number Correct: Time: seconds 1) Find 𝑃(heads) when you flip a coin. 2) Find 𝑃(2) when you roll a die. 3) Find the mode of the following data set:

{1, 1, 1, 1, 2, 2, 1, 2, 2, 3, 3, 3, 1, 3, 2, 1, 3}

4) Is the following data set QUALITATIVE or QUANTITATIVE?

{house, car, car, house, boat}

5) Is the following data set QUALITATIVE or QUANTITATIVE? {1, 4, 5, 1, 2}

Unit 9 – Day 4 Record the data from the board – this data is the finished time to the nearest second for each student.

1 2 3 4 5 6 7 8 9 10 11 12

13 14 15 16 17 18 19 20 21 22 23 24

From this data, find the following information: Mean:

Median: Mode:

Range:

Interquartile Range:

Standard Deviation: Z-Score (any three):

Box and Whisker Plot:

Unit 9 – Reference PLEASE DO NOT WRITE ON THIS PAPER! Integrated Math 4G: REFERENCE NOTES Statistics – Using a TI-83 and TI-84 to Find Statistical Calculations In today’s times, when statisticians compute statistics, they rarely will do so by hand. That does not mean they don’t know how to do it by hand, but (as we have found) it can be time consuming for large data set. Statisticians use powerful computer programs to compute their statistics- we also have a powerful tool available to us. What we are doing today can be performed using a TI-83 and TI-84.

Steps for TI-83 and TI-84 (non-color screens) Step 1a: Enter the numbers in L1 Enter the data items – use the

data items we found rather than the ones in the picture to the right. That is just meant to be an example.

[STAT] [1] selects the list-edit screen. Cursor onto the label L1 at top of first column, then [CLEAR] [ENTER] erases the list. Enter the 𝑥 values.

Step 2a: Compute the statistics After inputting your data, use

the 1-Var Stats command to compute the statistical measurements.

Select the 1-Var Stats command, [STAT] [►] [1] pastes the command to the home screen.

Specify which statistics list contains the data set.

Assuming you used L1, press [2ND] [1] to use L1. Press [ENTER] to execute the command.

Unit 9 – Reference

Steps for TI-84 (color screens) Step 1b: Enter the numbers in L1 Enter the data points – use the

data points we found rather than the ones in the picture to the right. That is just meant to be an example.

[STAT] [1] selects the list-edit screen. Cursor onto the label L1 at top of first column, then [CLEAR] [ENTER] erases the list. Enter the 𝑥 values.

Step 2b: Compute the statistics After inputting your data, use

the 1-Var Stats command to compute the statistical measurements.

Select the 1-Var Stats command, [STAT] [►] [1] pastes the command to the home screen. Press [ENTER] three times to execute the command.

Back to All Calculators Step 3: Interpret the Statistics That is it! We now have nearly everything we need- now you just need to know where to

find everything…