Compute the mean and variance of the following data set: (50.1, 50.0, 49.8, 50.2, 49.9)

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  1. mean = 50.0, variance = 0.1
  2. mean = 50.0, variance = 0.02
  3. mean = 49.8, variance = 0.1
  4. mean - 49.8, variance = 0.02

Answer (Detailed Solution Below)

Option 2 : mean = 50.0, variance = 0.02
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Detailed Solution

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Concept:

The mean of a data set is the sum of all observations divided by the number of observations.

The variance is the average of the squared differences from the mean.

Calculation:

Given Data: 50.1, 50.0, 49.8, 50.2, 49.9

Step 1: Calculate the mean

Step 2: Calculate the variance

Variance = 

Answer:

 Mean = 50.0, Variance = 0.02

Correct Option: 2) mean = 50.0, variance = 0.02

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