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7 September, 12:50

There are approximately one billion smartphone users in the world today. In the United States, the ages of smartphone users between 13 to 55 approximately follow a normal distribution with approximate mean and standard deviation of 37 years and 8 years, respectively. Using the 68-95-99.7 Rule, what percent of smartphone users are between the ages of 29 and 45?

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  1. 7 September, 13:13
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    By the 68-95-99.7 Rule, 68% of smartphone users are between the ages of 29 and 45.

    Step-by-step explanation:

    The 68-95-99.7 Rule states that:

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

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

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

    Approximate mean and standard deviation of 37 years and 8 years, respectively:

    What percent of smartphone users are between the ages of 29 and 45?

    29 is 1 standard deviation below the mean.

    45 is 1 standard deviation above the mean.

    29 and 45 are within 1 standard deviation of the mean. So, by the 68-95-99.7 Rule, 68% of smartphone users are between the ages of 29 and 45.
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