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The U.S. Department of Transportation reported the accompanying data on the number of speeding-related crash fatalities...

The U.S. Department of Transportation reported the accompanying data on the number of speeding-related crash fatalities during holiday periods for the years from 1994 to 2003.

Holiday Period 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 New Year's Day 145 146 178 74 219 138 171 134 210 70 Memorial Day 197 176 185 197 138 183 156 190 188 181

(a) Compute the standard deviation for the New Year's Day data. (Round the answer to three decimal places.) PLEASE SHOW WORK SO I CAN UNDERSTAND THANKS!

Math   Statistics-And-Probability   
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Answer #1

(a) Solution :

Given that New Year's Day data is 145 146 178 74 219 138 171 134 210 70

=> the standard deviation for the New Year's Day data is σ = 49.644

Explanation :-

=> Sum of terms = 145 + 146 + 178 + 74 + 219 + 138 + 171 + 134 + 210 + 70 = 1485

=> Number of terms = 10

=> Mean = Sum of terms/Number of terms

= 1485/10

= 148.5

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