Question

The median number of speeding tickets written by 8 police officers in a certain district is 12. The range of number of speeding tickets written by those police officers is 5. Determine if the following statement is true, is false, or does not contain enough information. Each police officer wrote at least 1 speeding ticket.

Answer 1

Answer:

The answer is actuall tru... If you are on Khan Academy

Step-by-step explanation:

Answer 2

You can use the fact that median is a value on whose both sides contain equal number of data points (arranged in ascending or descending order)

The statement is true.

What is median of a given data set?

Median is a value on whose both sides contain equal number of data points (arranged in ascending or descending order)

What is a range of a given data set?

Range is the difference between the minimum and the maximum valued data point of a data set.

It is already given that the median is 12, which shows that if we arrange the data in ascending or descending order, then the average of two mid values(as there are 8 values) is 12, which shows that one of the data point is at least 12.

Since we have

$\text{Range = Max value - min value}$

Thus,

as the range is given to be 5 and the maximum value is ≥ 12

Thus,

$\text{Range = Max value - min value} \geq 12 - \text{Min value}\\5 \geq 12 - min\\min \geq 12 - 5 = 7\\min \geq 7$

Thus, the minimum value for the given data set is going to be 7, and not 0

This shows that each police officer wrote at least 7 speeding tickets.

The given statement is still true because of the phrase "at least".

Thus,

The statement is true.

Learn more about median here:

https://brainly.com/question/14315366