Another measure of the spread of a data set is called the range. The find the range, subtract the smallest value from the largest value in a data set.

a. Find the rang for the data set: 12, 18, 22, 28

b. Although the range is a measure of the spread of a data set, it does not take into account all the values of the data set, since it uses only the largest and smallest values. This is why we need an additional measure like the standard deviation. But the range can be used to estimate the standard deviation in certain cases. Use this formula to estimate the standard deviation for the data set in part a.

Standard deviation

answer

watching

125

views

For unlimited access to Homework Help, a Homework+ subscription is required.

You have 0 free answers left.
Get unlimited access to 3.8 million step-by-step answers.

Get unlimited access

Already have an account? Log in

Priyanshu PatelLv10

25 Feb 2021

Unlock all answers

Get 1 free homework help answer.

Already have an account? Log in

Related questions

EX16_XL_CH05_GRADER_CAP_AS - Travel Expenses 1.3

Project Description:

You are the manager of an information technology (IT) team. Your employees go to training workshops and national conferences to keep up-to-date in the field. You created a list of expenses by category for each employee for the last six months. Now you want to subtotal the data to review total costs by employee and then create a PivotTable to look at the data from different perspectives.

Instructions:

For the purpose of grading the project you are required to perform the following tasks:

Step	Instructions	Points Possible
1	Start Excel. Open the downloaded Excel file named exploring_e05_grader_a1_Expenses.xlsx. Save the workbook as exploring_e05_grader_a1_Expenses_LastFirst, replacing LastFirst with your own name.	0.000
2	On the Subtotals worksheet, sort the data by Employee and further sort by Category, both in alphabetical order.	4.000
3	Use the Subtotals feature to insert subtotal rows by Employee to calculate the total expense by employee.	5.000
4	Collapse the Donaldson and Hart sections to show only their totals. Leave the other employees’ individual rows displayed.	5.000
5	Use the Expenses worksheet to create a blank PivotTable on a new worksheet named Summary. Name the PivotTable Categories.	8.000
6	Use the Category and Expense fields, enabling Excel to determine where the fields go in the PivotTable.	5.000
7	Modify the Values field to determine the average expense by category. Change the custom name to Average Expense.	4.000
8	Format the Values field with Accounting number type.	3.000
9	Type Category in cell A3 and change the Grand Totals layout option to On for Rows Only.	5.000
10	Apply Pivot Style Dark 2 and display banded rows. Note, depending upon the version of Office being used, the style name may be Light Blue, Pivot Style Dark 2.	5.000
11	Insert a slicer for the Employee field, change the slicer height to 2 inches and apply the Slicer Style Dark 5. Move the slicer below the PivotTable. Note, depending upon the version of Office being used, the style name may be Light Blue, Slicer Style Dark 5.	5.000
12	Use the Expenses worksheet to create another blank PivotTable on a sheet named Totals. Add the Employee to the Rows and add the Expense field to the Values area. Sort the PivotTable from largest to smallest expense.	10.000
13	Change the name for the Expenses column to Totals and format the field with Accounting number format.	4.000
14	Insert a calculated field to subtract 2659.72 from the Expense field. Format the field with the custom name Above or Below Average and apply Accounting number format to the field.	10.000
15	Set 12.25 width for column B and column C, change the row height of row 3 to 30, and apply word wrap to cell C3.	4.000
16	Create a clustered column PivotChart from the PivotTable. Move the PivotChart to a new sheet named Chart. Hide all field buttons in the PivotChart, if necessary. Note, Mac users, select the range A3:C8 in the PivotTable. On the Insert tab, click Recommended Charts, and then click Clustered Column to make the chart.	10.000
17	Add a chart title above the chart and type Expenses by Employee. Change the chart style to Style 14.	6.000
18	Apply 11 pt font size to the value axis and display vertical axis as Accounting with zero decimal places.	4.000
19	Create a footer on all worksheets with your name in the left section, the sheet name code in the center section, and the file name code in the right section.	3.000
20	Ensure that the worksheets are correctly named and placed in the following order in the workbook: Subtotals, Summary, Chart, Totals, Expenses. Save the workbook. Close the workbook and then exit Excel. Submit the workbook as directed.	0.000
	Total Points	100.000

https://www.dropbox.com/s/m7falnl85tfazl9/Torres%20DaSilva_exploring_e05_grader_a1_Expenses.xlsx?dl=0

bronzeelk977

Since Thorndike “Graph-Pro” racquetball racquets were introduced several years ago, no attempt has ever been made to offer a lightweight version. Ted has done some research and found that some of the other manufacturers offer a lighter version of their standard racquet. In addition, some of the racquetball players he has talked to have said a lighter racquet would probably improve their game.

Talking with production engineers, Ted learns that the racquets coming off the line don’t all weigh the same anyway. According to the chief engineer, the racquets weigh an av- erage of 240 grams, but the weights “vary all over the lot,” and he takes advantage of the situation to press for a high-tech $700,000 machine that would produce racquets of equal quality while holding this variation within narrower limits.

Old Luke isn’t too keen on buying a $700,000 machine, especially since Ted might have a better solution. Ted has dusted off the literature that accompanied the racquet-production machine and found that the machine generates output that is approximately normally distributed, with a standard deviation of 10 grams. This is a little sloppy these days, but maybe Thorndike Sports Equipment can turn this weakness into a strength.

Conversing further with Luke, talking to three sporting goods retailers, and interviewing players at five different racquetball facilities, Ted comes back to the office with a terrific idea. Asking Luke to sit down, and bringing him some coffee, Ted begins his pitch: “Say, grandfather, why don’t we take the racquets at the lighter end of the range and label them ‘Graph-Pro Light,’ with the ones more in the middle being ‘Graph-Pro Regular,’ and the ones at the heavier end can be ‘Graph-Pro Stout’?”

Luke responds that just because this works for the beer companies, this doesn’t mean it will work for Thorndike Sports Equipment. However, he’s willing to give it a try. Af- ter accompanying Ted on another round of conversations with retailers and players, the elder Thorndike tells Ted that for now, he’d like to see 15% of the production consist of “Graph-Pro Light,” with 80% “Graph-Pro Regular,” and 5% “Graph-Pro Stout.”

Ted’s next task is to tell the production people how to go about selecting which racquets are to be put into these three different categories.

(a) What is the weight below which racquets classify as Graph-Pro Light? (b) What is the weight above which racquets classify as Graph-Pro Stout?

jademanatee237

Weekly leaderboard

Home

Homework Help 3,900,000

Statistics 10,000

Unlock all answers

Related textbook solutions

Introductory Statistics

Related questions

Weekly leaderboard