Solve The mean score of a competency test is 60, with a standard deviation of 5. Between what two values do about 68% of the values lie? (Assume the data set has a bell-shaped distribution.

Between 55 and 65

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 60

Standard deviation = 5

Between what two values do about 68% of the values lie?

By the Empirical Rule, within 1 one standard deviation of the mean. So from 60-5 = 55 to 60+5 = 75.

d

step-by-step explanation:

d

6mm^3 or .6cm^3

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      /   \

  36     6

  /   \     /

6     6   6

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