Algebra 1A

Mean, Median, Mode, and Range

Excel Project

PLEASE DO NOT WRITE ON THIS PACKET!!!

STUDENT DATA TABLES

Directions: Your teacher will assign you one of the following states to investigate. Please be sure you write down the data set that you are asked to use so you do not forget which state you are studying.

PennsylvaniaYear Number of Home Sales (in thousands)2000 195.92001 197.32002 202.82003 219.12004 248.22005 255.22006 234.52007 214.02008 174.72009 176.52010 160.2

DelawareYear Number of Home Sales (in thousands)2000 12.92001 13.12002 14.52003 15.82004 18.92005 19.32006 17.82007 15.72008 11.52009 12.62010 10.9

New JerseyYear Number of Home Sales (in thousands)2000 161.12001 157.42002 166.02003 174.32004 188.62005 184.42006 154.12007 139.72008 112.62009 115.32010 110.0

New YorkYear Number of Home Sales (in thousands)2000 273.32001 286.62002 290.42003 282.62004 307.52005 319.82006 303.42007 295.92008 255.42009 253.82010 242.0

MarylandYear Number of Home Sales (in thousands)200

0 100.5200

1 108.2200

2 117.6200

3 120.8200

4 140.6200

5 135.5200

6 113.2200

7 86.4200

8 63.8200

9 72.5201

0 74.5

Measures of Central Tendency Excel Project

1) DATA SET- Follow the steps below to enter the data for your state. Do not forget to include proper labels and units.

a) Type in YEAR in cell A1. b) Type in each year starting with 2000 in cell A2 and ending with 2010 in cell A 12.c) Type in NUMBER OF HOMES SOLD (in thousands) into cell B1. d) Finish by typing in the number of homes sold in each year starting in cell B2 and ending with cell B13.e) When typing in the column titles in the spreadsheet, some of them will not fit in each cell appropriately. The

column and width size of each cell needs be to be changed. f) To set the column widths:

select cells A1 to A12 on the toolbar, select Format – then AutoFit Column Width Repeat this process for cell B1.

g) Save your Excel workbook in your own network drive as “ClassPeriod.LastnameFirstname”.h) IMPORTANT REMINDER: SAVE YOUR WORK EVERY 2 TO 3 MINUTES.

2) MEAN… Calculate the mean using the “average” function.

a) Type the word MEAN in cell A13.b) Select cell B13. This is where you will have Excel calculate the mean value.c) To have Excel calculate the mean, first type the equals sign (=) in cell B13. Next, click on the formulas tab at the

top, and on the far left click on the words “Insert Function”.

d) In the search bar type average. Click Average under select a function and click OK.

e) A new screen called FUNCTIONS ARGUMENTS should be on your screen.

f) The text box titled Number 1 should have the range of the cells on which we want to calculate the mean. This range needs to be cells B2:B12. (Because these are each year’s sales data.)

g) Select OK. The MEAN value should now be listed in cell B13.

3) MEDIAN… Determine the median using the “median” function.

a) Type the word MEDIAN in cell A14.b) Click on cell B14. This is where you will have Excel calculate the median. c) To have Excel calculate the median, first type the equals sign in cell B14. Follow the same directions used above

to find the Average Function, but this time search for Median.d) A new screen called FUNCTIONS ARGUMENTS should be on your screen. e) The text box titled Number 1 should have the range of the cells on which we want to calculate the mean. This

range is cells B2:B12. (IMPORTANT… at this point Excel chooses a range of cells for you. However this range of cells to be used for the MEDIAN is incorrect. Make sure our range is B2:B12.)

f) Hit OK. The MEDIAN value should now be listed in cell B14. g) Re-save your document in your own network drive as “lastname.intro.excel”

4) MODE… Identify the mode(s) using the “SORT” feature.

a) Excel does have a MODE and a MULTI-MODAL feature; however, the formatting for the MULTI-MODAL function is beyond what we need to study in this course. Thus, we are going to explore a different Excel feature, the SORT feature. The SORT feature will take our data and list it in order from least to greatest automatically. This will allow us to scan through the data and identify the MODE by inspection.

b) Type in the word MODE in cell A15.c) Select and highlight the range of cells we wish to sort. This range is B2:B12. d) Once this range is highlighted, copy the data and paste in into cell E2. The Copy and Paste function is located

back under the Home tab in the top left hand corner. e) Now it is time to SORT the data. Highlight the new list of data from cells E2:E12. f) On the toolbar, select Sort & Filter. You will have to choose the sort option. Use the option that would list the

data in ascending order.

g) With this new list of sorted data, you can identify the mode(s) by inspection. h) Type the MODE or MODES in cell B15.

5) RANGE… Find the range of the data by using the “MAX” and “MIN” features.

a) Excel does NOT have a RANGE feature but we can have Excel find the RANGE for us by using some different functions.

b) Type in the word RANGE in cell A16.c) Click on cell B16. This is where you will have Excel calculate the range. d) To have Excel calculate the range, recall the RANGE is calculated by calculating the Maximum number minus the

Minimum number (Max – Min). e) In cell B16 type an equal sign. Follow the same directions to find the MAX function and be sure to set the

function to calculate the MAX of cells B2:B12. f) Click back on cell B16.

In the formula text box at the top of your page you should see the following text: =MAX(B2:B12). We need to edit this formula so it also includes the subtraction of the MIN. In the text box, type in the minus sign. Search for the MIN value using the same process you used to get the MAX value. Again, it is important that we use the cells B2:B12. The final formula should look like: = MAX(B2:B12)-

MIN(B2:B12). g) Select OK. The RANGE value should now be listed in cell B16.

6) OUTLIERS… An outlier is a piece of numeric data whose value is either much larger or much smaller than the rest of the data in the set and this value greatly effects the overall average of the group of data. You will use the outlier data from your state listed below.

a)

b) Before we change our initial values of the data, you need to copy and paste the original data set from Sheet 1 to Sheet 2. Double click on the word Sheet 1 at the bottom and change the name of this sheet to “Original Data”. Double click on the word Sheet 2 at the bottom and change the name of this sheet to “Outlier Data”. Click on “Original Data” sheet to return to that sheet. Select and highlight cells A1 to B16. Right click and select copy. Now click on the “Outlier Data” sheet at the bottom of the sheets. Click in cell A1. Right click and select paste. This will make it easier to compare and contrast what happens to the mean, median, mode, and the range.

c) Format the table using AutoFormat Column Width as described in the directions above (step 1 (f) ). d) Edit The Data Table: Left click on the number 13. This will highlight all of the cells in row 13. Right click and

select “Insert”. This will move all of the data from row 13 down one row. Enter 2011 in cell A13 and the Outlier data from the chart above for your state.

Outlier Number of Homes Sold (in thousands)Pennsylvania 2011 116.1New Jersey 2011 80.2Delaware 2011 3.8New York 2011 198.9Maryland 2011 54.8

e) Entering the new data will cause the mean to be recalculated automatically. The median and range will need to be adjusted manually. To do this, click on cell B15 for median. Notice the median is calculated on cells B2:B12.

In the formula bar highlight B12 and change it to B13. Hit enter and the correct median will now be in cell B15. Repeat the same process to edit the formula bar to find the new Range. Remember to change the formula for both MAX and MIN.

f) To find the new mode: copy the data list, sort the list, then find the mode(s). This is a repeat of the process you used in Exercise 4.

7) Bar Graph…create a bar graph of your original data table. Return to the Sheet called “Original Data”.

a) Select and highlight cells A1 through B12.b) On the tool bar, select INSERT tab, then COLUMN (do not select BAR).c) Choose the first option that appears on the top left under 2-D Column.

d) You will need to make some modifications to this graph so it correctly shows the number of homes sold each year.

o Put the cursor in the middle of the graph and right clicko Toolbar – Select the “Select Data” option

o

o Select YEAR under the “Legend Entries”o Click the Remove button. o Now, you should only see NUMBER OF HOMES SOLD (in thousands).o Click the Edit icon on the right. It is under “Horizontal (Category) Axis Labels.o “Axis Labels” will open.

o Left click in cell A2 and drag down through cell A12 to select these cells as your new Axis Labels. Click

OK.o Your x-axis should now be the years 2000 to 2010. Click OK.o Right click on the key to the right of the bars on the graph. Hit delete to remove the Key.

e) Move the graph to the right so that it does not cover any of the data. You must click on the top of the graph to move it.

Format the Excel Workbook…In this section, you are going to give your Excel workbook a polished appearance.

8.) Insert grid lines

a) Select and highlight cells A1 through B17b) On the toolbar - select the borders icon (it’s next to the underline option). Push the drop down arrow.

c) Select the option for All Borders

9.) Center the cells

a) Select and highlight cells A1 through B16b) On the toolbar – Select the Center Text icon

10.) Add a title row

a) Select cell A1b) On Home Tab – Select Insert, then select Insert Sheet Rows.

c) This should cause a blank row to appear above your selected cell.

11.) Merge and Center the title row

a) In the first cell of the new row type HOME SALES. This is the title for your set of data.b) Select and highlight cells A1 and B1.c) On the toolbar – Select the Merge & Center icon.d) This should cause A1 and B1 to become one cell and HOME SALES to be centered in the new cell.

12.) Color and Highlight the HOME SALES cell.

a) Highlight the cell that contains HOME SALES with the color of your choice.b) To do this: Select the cell and then choose the paint can icon on the toolbar.c) Change the color of the words to a contrasting color from your highlighted color.d) To do this: Select the cell and then choose the Font Color icon.

13.) Complete Steps 8 – 12 for your “Outlier Data” sheet.

14.) Delete Sheet 3

a) You are going to delete Sheet 3 from your Excel file.b) To do this right click on the tab at the bottom of Sheet 3. Select the Delete option.

15.) Complete the Word Document that you saved first thing yesterday. This requires you to paste your data tables and bar graph into Word, and asks you to answer some analysis questions. This document will be graded and is worth 15 points.

16.) TURN-IN PROCEDURE – Drop ONLY the word document into my drop folder on the O-drive. Be sure that it is saved as:

ClassPeriod.LastnameFirstname

17.) Turn in your grade sheet handout with your name on it!