Question

The following data points are the quantity points marked in the last

Basketball game for the 5 players starting from the basketball team the dragons.


4, 21, 11, 6, 8


Calculate the standard deviation from the database.

Round your answer to the second decimal home.

Answer 5.97 points

Answer 1

Standard deviation of the database that informs the points made by 5 basketball players is 5.97 points approximately.

Standard deviation:

For the calculation of the standard deviation, you must obtain the arithmetic average of the indicated data. Calculate the arithmetic average of the amount of points marked by 5 players.

ma = (4 + 21 + 11 + 6 + 8)/5 <

ma = 50/5

ma = 10

now, we need to calculate the Variance : We do the square of the difference between each point of points and the average quantities, then we add the results and divided by the total frequencies.

vr = [(4 - 10) ² + (21 - 10) ² + (11 - 10) ² + (6 - 10) ² + (8 - 10) ²] / 5

vr = [(-6) ² + 11² + 1² + (-4) ² + (-2) ²]/5

vr = [36 + 121 + 1 + 16 + 4]/5

vr = 178/5

vr ≈ 35.6

Standard deviation is the square root of the variance.

dp = √35.6

dp ≈ 5.97