Hector is using radar to monitor the speeds of cars on a street near his school. He records the following speeds, each in miles per hour: $34, 35, 39, 40, 36, 35, 55, 42, 35$, and $39$.

1. What is the mean of these speeds?

   Hint (a):

   To calculate the mean, find the sum of the data and divide it by the number of speeds.

2. What is the median?

   Hint (b):

   In the numerically-arranged data listed below, which number falls in the middle?
   If there are two numbers in the middle, you need to find the mean of them.
   $34, 35, 35, 35, 36, 39, 39, 40, 42, 55$

3. What is the mode?

   Hint (c):

   Which speed is repeated most in the data list?

4. Hector wants to show the city council that there is a speeding problem. Which of the measures of central tendency that you calculated above should he use? Explain why.

   Hint (d):

   Which of the answers you calculated best proves that there is a problem with speeding?

   Answer (d):

   Since the mean is the highest speed of the measures of central tendency, it is most effective for proving that speed is an issue.