data analysis hw 4-2

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IQsfromsamplesofrandomindividualssamplesize40wanswers11.xlsx

Sheet1

Data for Classroom Assignment - Class #2, Assignment I
IQ values of 6 samples of 40 random individuals each
Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 Sample 6 BIN sizes for Histogram Descriptive Statistics: Sample 1
Statistics
94 85 119 94 85 100 60 Variable N N* Mean StDev Minimum Q1 Median Q3 Maximum IQR
92 84 93 92 123 64 70 Sample 1 40 0 100.68 11.6 69 93.25 101 110.75 126 17.5
106 95 100 106 87 101 80
95 133 83 95 112 103 90
69 93 110 69 113 103 100
104 123 83 104 116 80 110 Bin Frequency
101 118 105 101 86 98 120 60 0
100 82 100 100 80 95 130 70 1
94 112 91 94 106 96 80 1
111 94 77 111 112 124 90 5
88 91 85 88 72 126 100 11
112 112 99 112 98 86 110 12
103 98 115 103 81 104 120 9
101 98 98 101 91 118 130 1
111 100 89 111 86 94 More 0
78 100 108 78 75 110
119 89 97 119 105 96
95 104 110 95 84 98 Bin Frequency
86 95 82 86 110 85 60 0
93 95 83 93 69 98 70 1
112 112 124 112 124 97 80 3
126 100 140 126 107 85 90 10
94 97 107 94 95 86 100 5
107 103 104 107 103 113 110 12
86 107 138 86 99 87 120 6
103 110 95 103 102 112 130 3
115 101 129 115 95 94 More 0
101 105 104 101 83 84
110 87 112 110 101 83
107 100 118 107 90 77 Bin Frequency
102 119 92 102 114 90 60 0
99 115 107 99 109 94 70 1
112 105 119 112 102 112 80 3
115 101 78 115 112 97 90 8
99 81 94 99 86 102 100 13
88 111 108 88 110 102 110 8
88 100 93 88 108 102 120 5
105 89 116 105 101 111 130 2
114 90 98 114 84 94 More 0
92 92 105 92 124 77
SD of sample means = SEM
Summary Statistics Quartile.Exc mean of sample means actual theoretical calc
sample mean 100.7 100.7 102.7 100.7 98.5 97.0 100.0 2.01 1.83 2.4349537983
median 101.0 100.0 102.0 101.0 101.0 97.0 w SD 11.6 w SD 15.4
mode 94.0 100.0 83.0 94.0 112.0 94.0 range of sample means
sample SD 11.6 11.6 15.4 11.6 14.6 13.0 13.0 97 102.7
Standard error of the mean (SEM) 1.83 1.84 2.43 1.83 2.30 2.05 2.05
minimum 69.0 81.0 77.0 69.0 69.0 64.0
maximum 126.0 133.0 140.0 126.0 124.0 126.0
range 57.0 52.0 63.0 57.0 55.0 62.0 BIN sizes for Histogram
Q1 93.75 93.25 92.8 92.8 93.8 86.0 86.8 60
Q2 101.00 101.00 100.0 102.0 101.0 101.0 97.0 70
Q3 110.25 110.75 107.8 110.5 110.3 110.0 103.0 80
Q4 126.00 ERROR:#NUM! 133.0 140.0 126.0 124.0 126.0 90
90th %ile 114.9 117.7 123.5 114.9 115.8 112.9 100
50th %ile 101.0 100.0 102.0 101.0 101.0 97.0 110
MINITAB 120
Mean 100.68 sample mean 100.675 130
StDev 11.6 sample SD 11.5966120163
Minimum 69 minimum 69 Q.EXC
Q1 93.25 Q1 93.75 93.25
Median 101 median 101 101.00 conclusion: MINITAB calculates QUARTILE.EXC
Q3 110.75 Q3 110.25 110.75
Maximum 126 maximum 126
IQR 17.5 IQR 16.5
range 57
Sample 1 Sample 2 Sample 3
Bin Frequency Bin Frequency Bin Frequency
60 0 60 0 60 0
70 1 70 0 70 0
80 1 80 0 80 2
90 5 90 8 90 6
100 11 100 15 100 12
110 12 110 8 110 10
120 9 120 7 120 6
130 1 130 1 130 2
More 0 More 1 More 2
sample means sorted Data for bar graph
"BINS" frequency sample mean frequency
96.95 97 1 70 0
98.5 98.5 1 75 0
100.675 100.7 3 80 0
100.65 85 0
100.675 90 0
102.7 102.7 1 95 0
98 2
101 3
103 1
110 0
115 0
120 0
125 0
130 0

Histogram - Sample 1

Frequency 60 70 80 90 100 110 120 130 More 0 1 1 5 11 12 9 1 0

Bin

Frequency

Histogram - Sample 2

Frequency 60 70 80 90 100 110 120 130 More 0 0 0 8 15 8 7 1 1

Bin

Frequency

Histogram -Sample 3

Frequency 60 70 80 90 100 110 120 130 More 0 0 2 6 12 10 6 2 2

Bin

Frequency

Distribution of sample means

sample means 70 75 80 85 90 95 98 101 103 110 115 120 125 130 0 0 0 0 0 0 2 3 1 0 0 0 0 0 70 75 80 85 90 95 98 101 103 110 115 120 125 130 70 75 80 85 90 95 98 101 103 110 115

Histogram -Sample 3

Frequency 60 70 80 90 100 110 120 130 More 0 0 2 6 12 10 6 2 2

Bin

Frequency

Histogram Sample 4

Frequency 60 70 80 90 100 110 120 130 More 0 1 1 5 11 12 9 1 0

Frequency

Histogram Sample 5

Frequency 60 70 80 90 100 110 120 130 More 0 1 3 10 5 12 6 3 0

Frequency

Histogram - Sample 6

Frequency 60 70 80 90 100 110 120 130 More 0 1 3 8 13 8 5 2 0

Frequency