Question

If the mean is 10 and the standard deviation is 5, what are the x-values, respectively, for the values within 2 standard deviations away from the mean?

a. -5 and 15
b. 0 and 20
c. -5 and 15
d. -5 and 25

Answer 1

The x-values that lie within 2 standard deviations from the mean of 10, with a standard deviation of 5, are 0 and 20.

Step-by-step explanation:

The question asks for the x-values that are within 2 standard deviations from the mean when the mean is 10 and the standard deviation is 5. This can be calculated as the range between the mean minus 2 times the standard deviation and the mean plus 2 times the standard deviation. Using the values given:

• Lower bound = Mean - (2 x Standard deviation) = 10 - (2 x 5) = 10 - 10 = 0
• Upper bound = Mean + (2 x Standard deviation) = 10 + (2 x 5) = 10 + 10 = 20

So the x-values within 2 standard deviations away from the mean of 10 are 0 and 20.