Planets The planets of the solar system have the numbers of mo...

Question

Planets The planets of the solar system have the numbers of moons listed below in order from the sun. (Pluto is not included because it was uninvited from the solar system party in 2006.) Include appropriate units whenever relevant.

0 0 1 2 17 28 21 8

a. Find the mean.
b. Find the median.

0 0 1 2 17 28 21 8

a. Find the mean.

b. Find the median.

Accepted Answer

Welcome back, everyone. Listed below are the number of books borrowed from a library by 8 individuals. The first individual borrowed 0, the second individual borrowed 1, and so on. We want to find the mean number of books borrowed and find the median number of books borrowed. Now, let's first start by trying to find the mean of the number of books borrowed, OK? Remember that the mean is equal to the sum of all the data points divided by the number of points. Now, I know over here the numbers for individuals might throw you off a bit, but remember that 1 just represents the first individual, 2 just represents the 2nd, 3 represents the 3rd, and so on. So really, our focus is on the number of books borrowed, OK? And by looking at the books borrowed then we can tell that the mean. Let, let me just put A here actually. The mean Is going to be equal to the sum of those values divided by the number of values which is going to be equal to. 0 + 1 + 2 + 10 + 12 + 5 + 8 + 3, OK, all divided by 8. No, when we add these up, OK, we should get that, that uh the mean here or the total number of values is 41, and 41 divided by 8 is equal to 5.125 or approximately 5.1. Therefore, the mean number of books borrowed is 5.1. So let's write that down here, OK? Approximately 5.1. Next, we want to find the median of the number of books borrowed. How do we do that? Well, remember that the median is the middle value when the data is arranged in order, whether ascending or descending. So if we sort this data set. Sorting our data set, OK. Then in order it's going to be 0. Let me put this right here. It's gonna be 012358, 1012. OK. And no, we just need to find the value that's in the middle. Since we have 8 values, OK, then the median will be the average of the two middle values, which in this case would be the 4th and 5th values, 3 and 5. And when we try to find, OK, the average of those values, that's going to be 3 + 5 divided by 2, which equals 4. Therefore, the median number of books is equal to 4. Thanks a lot for watching everyone. I hope this video helped.

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