Calculate the sample standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Slugging Percentages for Leading Major League Baseball Players

0.612 0.612 0.523 0.523
0.606 0.606 0.631 0.631
0.584 0.584 0.592 0.592
0.644 0.644 0.597 0.597
0.639 0.639 0.607 0.607
0.564 0.564 0.673 0.673

Step-by-step explanation:

Given:

0.612 0.523  0.606 0.631  0.584  0.592  0.644  0.597  0.639  0.607  0.564  0.673

Required

Calculate the sample standard deviation

First, calculate the mean

The sample standard deviation is then calculated using:

So, we have:

-- approximated

The distance formula for two points on a number is | a-b |, that is the absolute value of a - b. In this case a = 137.5 and b = -62.5, with these numbers in mind we can make substitute for a and b and solve, | 137.5 - -62.5 | = n. Since when there are two negative signs present they turn positive, we can see that the distance between point a and point b and therefore the distance between the two elevators in 200 feet.

| 137.5 - -62.5 | = n
| 137.5 + 62.5 | = 200