Question

Please help, I don't get this problem. Have a great day.

Answer 1

1. Median Height: 71
2. Range of Heights: 10
3. Interquartile Range of Heights: 7
4. Maximum Height: 77
5. Minimum Height: 67

Explanation:

There are five bars on a box-and-whisker graph, from left to right, that correspond to designated graph values. These five bars are the minimum, first quartile (Q1), median, third quartile (Q3) and maximum. You can tell the minimum and maximum bars from the quartile and median bar because they're the ones that stick outside of the box - hence the name box and whisker. Here's a graph to make it clearer.

OK, let's go through each of the problems one by one.

1. Median Height. The Median Height is simply the number that the median bar is located at. In this case, it happens to be 71.
2. Range of Heights. Range is the maximum minus the minimum, so it's 77 - 67 = 10.
3. Interquartile Range (IQR) of Heights. The IQR is Q3 - Q1 (the median is Q2, but that isn't important... yet.) Q3 is 75 and Q1 is 68, so 75 - 68 = 7.
4. Maximum Height. Simply put, this is where the farthest bar is. That's 77 in this case.
5. Minimum Height. 67, where the lowest bar is.