# MATH 122 QCC Statistics Excel Sheet

MATH 122 – Statistics

QCC – Summer, 2020

Prof. Ken Friedman

kfriedman@qcc.mass.edu

Chapter 3 Problem Set

Part I: Calculations for Summary Statistics

[A] For the following set of paired data values, calculate the summary statistics.

i

1

2

3

4

X

14

20

10

16

Y

18

24

8

6

[Q#1]

[Q#2]

[Q#3]

[Q#4]

[Q#5]

[Q#6]

What is the mean for X ?

What is the mean for Y ?

What is the standard deviation for X?

What is the standard deviation for Y?

What is the Covariance between X and Y?

What is the Correlation between X and Y?

[B] For the following set of paired data values, calculate the summary statistics.

i

1

2

3

4

5

X

10

15

9

13

18

Y

6

9

20

14

6

[Q#1]

[Q#2]

[Q#3]

[Q#4]

[Q#5]

[Q#6]

What is the mean for X ?

What is the mean for Y ?

What is the standard deviation for X?

What is the standard deviation for Y?

What is the Covariance between X and Y?

What is the Correlation between X and Y?

Part II: Weighted Mean Calculations

[A] Portfolio Investment

Consider an investor with $1 million dollars invested in the following seven stocks.

The investment rate of return for each stock is listed.

[Q#1] Calculate the expected port-folio rate of return as a weighted average.

[Q#2] Compute the investor’s total $ return.

Company

Citigroup

General Electric

Kimberly-Clark

Oracle

Pharmacia

Verizon

General Motors

Total Portfolio Value:

Amount

Invested

$ 120,000

$ 100,000

$ 150,000

$ 80,000

$ 200,000

$ 130,000

$ 220,000

Expected Rate

of Return

8.0%

15.5%

10.0%

20.0%

7.5%

16.0%

9.0%

=

=

=

=

=

=

=

.08

.155

.10

.20

.075

.16

.09

$ 1,000,000

[B] Company Market Share

Industry Sales

Desktop PC

$180,000,000 _____

APPLE’s

Market Share

8% = .08 _____________ ______

Laptop PC

$220,000,000 _____

10% = .10 _____________ ______

PC Tablet

$120,000,000 _____

6% = .06 _____________ ______

Smartphone

$480,000,000 _____

50% = .50 _____________ ______

Industry Total = $1,000,000,000

[Q#1] What is the $ value of Apple’s sales revenue for all PC types combined?

[Q#2] What is Apple’s market share for the entire computer industry?

Part III: Positional Analysis – Data Set Evaluation

[A] The course handout titled: “Positional Analysis for Descriptive Statistics”

evaluated an Excel sheet with home selling price data titled:

“Home Selling Prices in Worcester County”. Work further with this data set

and calculate the following values:

[Q#1]

[Q#2]

[Q#3]

[Q#4]

the

the

the

the

7th Decile value: D7

Hint: this is the 70th percentile, P70

3rd Decile value: D3

Hint: this is the 30th percentile, P30

65th Percentile Value: P65

32nd Percentile Value: P32

For each question, average the two home selling prices around the position.

[B] The following is a list of the selling price for twenty (n=20) houses that

sold in Worcester this month. Prices are in thousands of dollars ($K).

$400

$252

$380

$240

$362

$222

$350

$210

$338

$200

$322

$188

$310

$182

$298

$172

$282

$168

$268

$160

Utilize the method of averaging two values around the positional location.

(1)

(2)

(3)

(4)

(5)

(6)

(7)

What is the Median value?

What are the three Quartile values? Q3, Q2(median), Q1 .

What are the four Quintile values? QN4, QN3, QN2, QN1 .

What are the nine Decile values? D9, D8, D7, D6, D5,(median) D4, D3, D2, D1

What is the Full Range = MAX – MIN

What is the Inter-Quartile Range: Q3 – Q1

What is the P90 – P10 range?

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