Measures of Dispersion  Solve for the range, variance, and standard deviation of this data: 40, 34, 50, 46, 47, 39.   Score (X) (x – mean) (x – mean)2 40     34     50     46     47

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A: from excel: data-data analysis-regression

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A: The pooled variance is calculated as follows. sp2=n1-1s12+n2-1s22n1+n2-2=15-1×92+15-1×5215+15-2=53

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A: GivenμX=27.2Var(X)=8

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Q: only part 4.

A: If the sample size increases from 8, then the standard deviation, σ decreases.

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A: L

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A: Mean=42Standard deviations=7

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A: From the provided information, SSb = 30 and SSw = 60 Degree of freedom (k - 1) = 2 And (n - k) = 15

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Q: QI/ For the following data find: a. Mean b. Harmonic mean c. Absolute mean deviation Class Frequency…

A: Here, Interval Frequency, f Midpoint, x fx fx x-x |x-x| f.|x-x| 25-30 2 27.5 55 0.072727 -17.19…

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A: Denote the random variable X as the duration. Thus, X~ N (µ=16, σ=3.2).

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A: We know that, the Standard Deviation is one of the type of measure of dispersion. So, we can compare…

Q: The sum of the squared deviation scores is SS = 20 for a sample of n = 6 scores. What is the…

A: The variance of the sample can be calculated as:

Q: If the grades of 100 students have mean 40 and standard deviation 5. If we subtract 3 from each…

A: The new mean is, New mean=Mean-3-2=40-3-2=37-2=-18.5 Thus, the new mean is -18.5.

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Q: Compute the standard score (Z-score) for x, when x = 42, the mean of the distribution = 26, and the…

A: x = 42Mean = 26Standard deviation = 8

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