Answer:
0.009
Step-by-step explanation:
1. 9/25
2. x/40
Tip would be the best answer choice
Your set is 2, 5 and 8.
In order to calculate the standard deviation, first, you need to calculate the mean of the scores:
m = (2 + 5 + 8) / 3
= 15 / 3
= 5
Then, find the variance: subtract the mean from each value, square the results, sum them up and divide it by the number of scores.
(2 - 5)² = 9
(5 - 5)² = 0
(8 - 5)² = 9
Therefore:
v = (9 + 0 + 9) / 3
= 18 / 3
= 6
The standard deviation is the square root of the variance:
σ =
√6 = 2.45
In conclusion, the standard deviation can be calculated by the formula:
When changing from radical form to fractional exponents, remember these basic forms:
The nth root of a can be written as a fractional exponent with a raised to the reciprocal of that power.
is taken, it’s raised to the 1/n power. When a power is raised to another power, you multiply the powers together, and so the m (otherwise written as m/1) and the 1/n are multiplied together.
Use fractions in the powers to indicate that the expression stands for a root or a radical.
Leave the exponent as 9/4. Don’t write it as a mixed number.