MATH SOLVE

7 months ago

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