BUS 226 Discussion 3 Group c | Colorado Community College Online

BUS 226  Discussion 3 Group c | Colorado Community College Online

Data was collected on the price ($) per ounce of ten (10) samples of dark chocolate. The data points and descriptive statistics from an Excel statistical application are shown below. (The far left column contains the data points; the far-right column reports the corresponding Z scores. The middle columns show common descriptive statistics.)

1.   After Kevin viewed this data, he said "Wow, look how skewed this data is, what with the median amount spent of $0.835/ounce being so much larger than the standard deviation of $0.348/ounce."  Clearly state why you do or why you don't agree with Kevin's statement..

2.   Kevin continues... "I'm a little confused though.  If this data set is not symmetrical, why does the mean of $0.907/ounce nearly equal the range of $0.96/ounce?" Clearly state a thorough answer to Kevin's question.

Table: Cost per Ounce of Dark Chocolate

Cost per ounce of Dark Chocolates $ (n = 10)

Statistics

Descriptive Statistics

Cost per ounce of Dark Chocolates ($)

Z Score

0.72

Mean

$0.907

0.72

-0.5374

0.92

Standard Error

$0.1100

0.92

0.0374

1.14

Median

$0.8350

1.14

0.6696

1.42

Mode

$0.5700

1.42

1.4744

0.77

Standard Deviation

$0.3479

0.77

-0.3937

0.57

Sample Variance

$^2 0.1211

0.57

-0.9685

1.51

Kurtosis

-0.6460

1.51

1.7330

0.57

Skewness

0.7773

0.57

-0.9685

0.55

Range

$0.96

0.55

-1.0260

0.90

Minimum

$0.55

0.90

-0.0201

Maximum

$1.51

Sum

$9.07

Count

10

Coefficient of Variation = 38.36%

 

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