Q:

# As cars passed a checkpoint, the following speeds were clocked and recorded. Speed (mph): 55 62 61 54 68 72 59 61 70 What are the minimum, first quartile, median, third quartile, and maximum of the data set? Show your work.

Accepted Solution

A:
We have ---- >  55, 62, 61, 54, 68, 72, 59 ,61, 70  In total 9 numbers step 1 order  the numbers  from smallest to largest 54,55,59,61,61,62,68,70,72 1) What is the minimum of the data set ? The lowest number is the minimum------------ > 54 2) What is the median of the data set ? Find the number that is in the middle   54,55,59,61,61,62,68,70,72 The middle number is 61. That is the median.  Find the middle of each half. Since these numbers are between 2 numbers, you average the numbers (add then divide by 2).  55+59=114/2=57 This is the first quartile.  68+70=138/2=69 This is the third quartile 3) What is the first quartile of the data set ? the answer is 57 4) What is the third quartile of the data set ? the answer is 69 5) What is the maximum of the data set ? The highest is the maximum------------ > 72