What are the mean, variance, and standard deviation of these values? round to the nearest tenth.

So this table is all about showing you how to calculate the standard deviation in various steps.

Step 1: calculate the average (=mean) of the x values. You probably know how to do this, add all values and divide by the number of values. (53+51+48+49+37)/5 = 47.6. This is your .

Step 2: calculate . This is the "distance" of your x value to the average. This has been done for you already in the second column. E.g. 53-47.6=5.4.

Step 3: square the results of . This is also done for you already, it is the third column.

Step 4: Add (sum) the values. So add the third column. I get 155.2 when I do that.

Step 5: Divide that sum by the number of x values. 155.2/5 = 31.04 ≈ 31. That number is your variance right there!

Step 6: Take the square root of the variance. √31.04 ≈ 5.571 ≈ 5.6. This is your standard deviation.

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step-by-step explanation:

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step-by-step explanation: