A police officer is concerned with excessive speeds on a portion of Interstate 90 with a posted speed limit of 65 miles per hour. Using his radar gun, he records the following speeds for 25 cars and trucks:

66 72 73 82 80 81 79 65 70 71 80 75 75 65 67 72 73 73 80 81 78 71 70 70

a. Construct a stem-and-leaf diagram.
b. Are the officer's concerns warranted?

a)

Stem     Leaf

6        | 5 5 6 7

7        | 0 0 0 1 1 2 2 3 3 3 5 5 8 9

8        | 0 0 0 1 1 2

Notation: For example 6|5 means 65 mph , or 8|2 means 82 mph

b) Yes. Since the speed limit is 65 mph, and we have all the values above or equal to 65 mph the officer should be worried since all the speeds are higher than the speed limit

Step-by-step explanation:

Part a

Data given: 66 72 73 82 80 81 79 65 70 71 80 75 75 65 67 72 73 73 80 81 78 71 70 70

For this case the first step is order the dataset on increasing way and we got:

65 65 66 67 70 70 70 71 71 72 72 73 73 73 75 75 78 79 80 80 80 81 81 82

Now we can construct the stem and leaf diagram like this:

Stem     Leaf

6        | 5 5 6 7

7        | 0 0 0 1 1 2 2 3 3 3 5 5 8 9

8        | 0 0 0 1 1 2

Notation: For example 6|5 means 65 mph , or 8|2 means 82 mph

Part b

Yes. Since the speed limit is 65 mph, and we have all the values above or equal to 65 mph the officer should be worried since all the speeds are higher than the speed limit

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