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APA
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Mathematics & Economics
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# Analysis Comprehension (Philosophy) (Essay Sample)

Instructions:
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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