A) MEAN Step 1: write all the values (X) |
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Value (X) |
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51 |
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45 |
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61 |
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76 |
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11 |
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117 |
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7 |
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132 |
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52 |
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149 |
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Step 2: Calculate the sum of numbers (SX) |
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SX = 701 |
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Step 3: calculate Mean using the following formula, |
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Mean = SX/n |
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Mean = 701/10 |
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Mean = 70.1 |
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A) STANDARD DEVIATION
Step 1 |
Step 2 |
Step 3 |
|
X |
X-Mean |
Square of X-Mean |
|
51 |
-19.1 |
364.81 |
364.81 |
45 |
-25.1 |
630.01 |
630.01 |
61 |
-9.1 |
82.81 |
82.81 |
76 |
5.9 |
34.81 |
34.81 |
11 |
-59.1 |
3492.81 |
3492.81 |
117 |
46.9 |
2199.61 |
2199.61 |
7 |
-63.1 |
3981.61 |
3981.61 |
132 |
61.9 |
3831.61 |
3831.61 |
52 |
-18.1 |
327.61 |
327.61 |
149 |
78.9 |
6225.21 |
6225.21 |
21170.9 |
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Step 4. Sum of Square of X-Mean |
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S(X-Mean) = 21170.9 |
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Step 5: Calculate variance using following formula |
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Variance = S(X-Mean)/N |
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Variance = 21170.9/10 |
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Variance = 2117.09 |
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Step 6. Standard Deviation is square root of variance |
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46.01185 |
B) STANDARD ERROR
Calculate standard error using following formula: |
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standard error = Standard deviation/sqrt n |
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standard error = 46.01185/sqrt 10 |
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standard error = 46.01185/3.16 |
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standard error = 14.55 |
C)
CI = Mean ± Standard error
CI = 70.1 - 14.55
CI = 55.55
CI = 70.1 + 14.55
CI = 84.65
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