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APA
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Mathematics & Economics
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English (U.S.)
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Topic:

Analysis Comprehension (Philosophy)

Essay 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
Essay Sample Content Preview:

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 σX
σx = x-μ2N-1
= 91-107.852, 96-107.852, 140-107.852, 98-107.852, …., 115-107.85213-1
= 2,357.69312= 196.4744
σx 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?
μ=x1, x2, x3, …, XxN = 91,96,140,…, 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
σ2= x-μ2N-1
= 91-107.84622, 96-107.84622, 140-107.84622, …, 115-107.8462213-1
= 2357.69212
σ2=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-μσ
= 126 - 107.846214.01693
= 1.29513
p=.4032
percentile rank = number of scores below xn ∙100
= 1113 ∙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, these data mean that a person with an IQ=126 has an IQ which is above the average.
12. If your age is 20, what is the significance of that in terms of this data set?
[please re-draw graph by hand]
z= x-μσ
= 20-31.692411.76424
= -0.99
p=0.3389
percentile rank = number of scores below xn ∙100
= 113 ∙100
= 7.6th percent...
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