At their installations as chief justice of the United States, the first six chief justices were 44,

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At their installations as chief justice of the United States, the first six chief justices were 44, 56, 51, 45, 59, and 56 years old, respectively.

a. Find and interpret (report in context) the mean age at installation, rounding to the nearest tenth. The mean age at installation of the six most recent chief justices was 62. Did the first six tend to be older or younger at installation than the most recent six chief justices were?

b. Find the standard deviation of the ages, rounding to the nearest tenth.

The standard deviation of the most recent six chief justices was 10.1. Did the first six tend to have more or less variation than the most recent six chief justices did?

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