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[answered] MATH 131 9/28/16 Lab 3 Ryan Smith Answers should be include

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MATH 131

9/28/16

Lab 3

Ryan Smith

Answers should be included on this lab. Use additional paper, if needed.

The goal of this lab is to find descriptive statistics for your quantitative data.

Part 1: V2 Quantitative Data

Use the list of all 40 numbers from Lab 1, column V2 for this part of the lab.

(3 Points) A.

B Identify the name of the quantitative variable V2 that you are using. ___Stroke Rates___

Use Minitab to find

Mean _________________84.4_______

Median __________65.5_____________

Mode ______22, 29, 39, 112, 151, 163________

Standard Deviation _________________51.668________

Minimum Value

________22________________

Maximum Value

______________173__________

____________39_________________

Q1

_______________140.5______________

Q3 You may find your statistics using Minitab.

Open the worksheet where you saved your

lab data or enter your data.

Select Stat

Basic statistics

Display Descriptive Statistics

Double click on the location of V2 in the lefthand box to select that data Statistics

Check or uncheck to include all the statistics

of interest. Minitab does not find the

Mode.

OK

OK 1 C. Consider your values for mean, median and mode listed above. Which is the largest?

- 3 of my Modes are larger than the second largest value which is the Mean.

Consider the diagrams on p. 71, discuss the similarities and differences among your three

measures

- The mean is greater than the median making it a skewed right distribution. Which one of these measures of central tendency is most suitable for your data? Explain your

choice.

- The median is the most suitable measure because the data is skewed right (2 Points) D. Using the appropriate numbers from B above, make a box-and-whisker plot for your data. (See

p. 103) What does this plot tell you about your data?

- The data is skewed right

(2 Points) E. Looking at your list in B, list your lowest, highest and mean data values. List below and then

find the z ?score for each. (See p. 105) Lowest Data Value, x

22 z ? score 22 - 84.4

_______ = -1.21

51.668

Highest 173 Mean 84.4 F. 84.4 ? 84.4

__________ = 0

51.668 How do -scores indicate a data value is above the mean? ___If the number is positive____

z

below the mean? ____If the number is negative_____

What -score always corresponds to the mean? ________0________

z (3 Points)

A. 173 ? 84.4

_________ = 171.4

51.668 Part 2: V3, Quantitative Data What is the name of your V3 variable? _______Life Expectancy______________________ B. Fill in the values in the chart below using the frequency distribution in Lab 2, Part 3. You may

not need all of the rows below. Data Groups,

using V3 frequency,

f 50-56

57-63

64-70

71-77

78-84 4

2

4

14

16 Class

Midpoint,

x

53

60

69

74

81 xf

212

120

276

1,036

1,296 xX

-12.5

-5.5

3.5

8.5

15.5 ( x X )2

156.25

30.25

12.25

72.25

240.25 ( x X )2 f

625

60.5

49

1,011.5

3,844 f n n =40 C. Use the appropriate values in the table to find the mean and standard deviation for your

grouped data. Show your computations. (See p. 70 and 88)

2,940

_____ = 73.5

40

5,590

______ = 143.3

n-1 D. Use Chebychev's Theorem to write a statement about the interval from 2 standard deviations

below the mean to 2 standard deviations above the mean. List the specific interval you used

for your data. Interpret the result in the context of your data. - Chebyshev's inequality says that at least 99.96% of the data values of any distribution must be

within 51.668 standard deviations of the mean.

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