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?

Respuesta :

Answer:

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

The construction of the stem and leaf diagram is as follows:

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

What is a Stem and Leaf Plot Diagram?

A stem and leaf plot diagram is a specific table in which each data sets is divided into a "stem" (i.e the first number of digits) and a "leaf" (the remaining digits, i.e. the last digit).

From the given information, to construct the diagram, we will first have to arrange the number in order. This is shown below as follows:

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

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

b.

Yes, the officer's concerns are warranted. This is because the speed limit is 65 mph. However, the data values given show that the speed limit of the cars is more than the required limit. Therefore, the officers should be worried.

Learn more about stem and leaf diagrams here:

https://brainly.com/question/1214466