The United States has an aging infrastructure as witnessed by several recent disasters, including the I-35 bridge failure in Minnesota. Most states inspect their bridges regularly and report their condition (on a scale from 1€“17) to the public. Here are the condition numbers from a sample of 30 bridges in New York State (https://www.dot.ny.gov/main/bridgedata):

(a) Find the sample mean and sample standard deviation of these condition numbers.

(b) Construct a dot diagram of the data.

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5.08 5.44 6.66 5.07 6.80 5.43 4.83 4.00 4.41 4.38 7.00 5.72 4.53 6.43 3.97 4.19 6.26 6.72 5.26 5.48 4.95 6.33 4.93 5.61 4.66 7.00 5.57 3.42 5.18 4.54