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# Analysis Comprehension (Philosophy) (Essay Sample)

Instructions:

Analysis Comprehension
LOOKING FOR for neatness, clarity, and evidence of methodical
approach – Feel free to use graph paper for certain parts!!!PLEASE ANSWER IN FULL COMPLETELY ALL THE QUESTIONS BELOW
HERE IS THE INFORMATION
A IQ of a group of people
91, 96, 140, 98, 108, 99, 94, 126, 106, 103, 107, 119, 115
B Corresponding ages of the group of people
31, 61, 42, 33, 26, 29, 33, 38, 24, 19, 16, 44, 29
Utilizing the attached data set of IQ scores, respond to the questions for each set of data:
1. Find Σ X
2. What is the median?
3. What is the mode?
4. What is the mean?
5. What is N?
6. What is the range? Is it significant?
7. Display the range in equation form.
8. Create a frequency distribution; from that, chart a frequency polygon
9. Find the variance _
Σ (X-X) 2
N – 1
10. Find the Standard Deviation and chart up to 3+ and 3- standard deviations on a graph
_
Σ (X-X) 2
_ = │ N – 1
*****************************************************
11. If your IQ is 126, what is the significance of that in terms of this data set?
i. What is your deviation score (variation from the mean)?
ii. What is your z score and what does that mean?
iii. What is your percentile rank and what does that mean?
12. If your age is 20, what is the significance of that in terms of this data set?
i. What is your deviation score (variation from the mean)?
ii. What is your z score and what does that mean?
iii. What is your percentile rank and what does that mean?
*******************************************************
13. Chart a scatterplot for this data.
14. Find Pearson's r to determine the linear relationship of this data. What does this score
mean? This will answer the question: Is there a relationship between IQ and
age?
Pearson's product moment correlation:
NΣ xy-(Σ x)(Σ y)
r=
[NΣ x2 – (Σ x)2][NΣ y2 – (Σ y)2]
*remember to use the method in the files attached– create your tables!!
15. If we were to do an experiment with this group where we wanted to find out if there
was a relationship between IQ and attitude towards the Canadian mission in
Afghanistan, how might we do that? Explain and demonstrate using notation
source..

Content:

Table 1: Descriptive Statistics

IQ

Age

N

Valid

13

13

Missing

1

1

Mean

107.8462

32.6923

Median

106.0000

31.0000

Mode

91.00a

29.00a

Std. Deviation

14.01693

11.76424

Variance

196.474

138.397

Range

49.00

45.00

Minimum

91.00

16.00

Maximum

140.00

61.00

a. Multiple modes exist. The smallest value is shown

Using the IQ scores for the sample, table 1 was created in order to get an overview of the data.

1 Find ÏƒX

Ïƒx = x-Î¼2N-1

= 91-107.852, 96-107.852, 140-107.852, 98-107.852, â€¦., 115-107.85213-1

= 2,357.69312= 196.4744

Ïƒx for IQ = 14.01693

2 What is the median?

91, 94, 96, 98, 99, 103, 106, 107, 108, 115, 119, 126, 140

Median for IQ is 106

3 What is the mode?

IQ has multiple modes, but the smallest value of these modes is 91.

4 What is the mean?

Î¼=x1, x2, x3, â€¦, XxN = 91,96,140,â€¦, 11513

= 140213

= 107.8462

Average IQ for this sample is 107.85.

5 What is N?

N for this sample is 13.

6 What is the range? Is it significant?

Range for IQ is 49.

7 Display the range in equation form.

Range = xmax - xmin

Range for IQ = 140 - 91

8 Create a frequency distribution; from that, chart a frequency polygon

Figure 1: Frequency Polygon for IQ

9. Find the variance

Ïƒ2= x-Î¼2N-1

= 91-107.84622, 96-107.84622, 140-107.84622, â€¦, 115-107.8462213-1

= 2357.69212

Ïƒ2=196.4744

variance for IQ is 196.4744

10. Find the Standard Deviation and chart up to 3+ and 3- standard deviations on a graph

[Please re-draw this graph by hand]

Figure 2: Bell Curve for IQ

11. If your IQ is 126, what is the significance of that in terms of this data set?[please redraw the graph by hand on a graphing paper before submitting to your teacher]

z= x-Î¼Ïƒ

= 126 - 107.846214.01693

= 1.29513

p=.4032

percentile rank = number of scores below xn âˆ™100

= 1113 âˆ™100

= 84.62th percentile

IQ = 126 is located 1.30 standard deviations to the right of the mean. This means that IQ=126 has a z-score of 1.30. The area between z=0 and z=1.30 is .4032. This means that there is 40.32% chance of getting an IQ score of 126 for this sample. Percentile rank for IQ = 126 is 84.62. This means that a person with IQ of 126 has an IQ higher than almost 85% of the sample. Moreover, the...

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