Question

The scores on a certain standardized test follow a normal distribution. the mean

score is 74, and the standard deviation is 6.
between which two values do approximately 95% of the scores fall?

Answer 1

62 and 86

Explanation:

approx. 68% of data lie within 1 standard deviation of the mean.

95% of data lie within 2 standard deviations of the mean.

99.7% of data lie within 3 standard deviations of the mean.

2 standard deviations = 2 X 6 = 12.

mean = 74.

74 - 12 = 62. 74 + 12 = 86.

so 95% of the data will be between 62 and 86.