Caught speeding suppose police set up radar surveillance on the stanford street described in exercise 18. They handed out a large number of tickets to speeders going a mean of 28 mph, with a standard deviation of 2.4 mph, a maximum of 33 mph, and an iqr of 3.2 mph. Local law prescribes fines of $100, plus $10 per mile per hour over the 20 mph speed limit. For example, a driver convicted of going 25 mph would be fined 100 + 10152 = + 150. Find the mean, standard deviation, maximum, and iqr of all the potential fines.

Question

Joselyn Patel

Mathematics

10 October, 04:11

Caught speeding suppose police set up radar surveillance on the stanford street described in exercise 18. They handed out a large number of tickets to speeders going a mean of 28 mph, with a standard deviation of 2.4 mph, a maximum of 33 mph, and an iqr of 3.2 mph. Local law prescribes fines of $100, plus $10 per mile per hour over the 20 mph speed limit. For example, a driver convicted of going 25 mph would be fined 100 + 10152 = + 150. Find the mean, standard deviation, maximum, and iqr of all the potential fines.

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Answers (2)

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Josephine Medina · Answer 1

The mean would be 100+10 * (28-20) = $180

The max would be 100+10 * (33-20) = $230

The IQR is $205-$135=$70

Using a graphing calculator, the standard deviation is $38.94.

Madison · Answer 2

As given in the problem statement

speed=28 mph

standard deviation-2.4 mph

maximum limit=33 mph

and iqr=3.2 mph

Using statistics

mean will be 24.5 mph