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Problem 9 Easy Difficulty

The data show a sample of the number of passengers in millions that major airlines carried for a recent year. Find the mean, median, midrange, and mode for the data.
$\begin{array}{rrrrrr}{143.8} & {17.7} & {8.5} & {120.4} & {33.0} & {7.1} \\ {10.0} & {5.0} & {6.1} & {4.3} & {3.1} & {12.1}\end{array}$

Answer

$30.63$ $\\$10.0 $\\$73.45 $\\$no mode

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NA

Nouman A.

April 5, 2021

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Video Transcript

So in this problem, we're looking at the number of airline passengers in millions. But our data is just given to us, so I'm gonna put it in order from least a greatest. So we'll start with 3.1 ben 4.3, 5.0, 6.17 point one great 0.5 10. 12 point win. 17.7. 27.1. 33. 120.4 and lastly, 1 43 0.8 for our gravis. It so they were asked to find the mean and this is a simple So we're gonna use ex parte and in our numerator, we're gonna add up all of our values. And once we do that, we will get 398.2, divided by 13 and it will get 30 points 63 then four hour medium. Because we have 13 numbers. We want the very middle number. So for us, that's going to be this seventh number. So if we were to look here because it's in order from least or greatest, we count to the 7th 1234567 times. That means there's six on the left side six on the right side. Eso are median is 10. Then, for our mid range, we're gonna look at the smallest number and the largest number and take the average so 3.1 plus 143.8 divided by two. When we add that together we get 1 46.9 divided by two for a total men range of 73.45. And then, lastly, our mode, we don't have one because there are no repeating numbers.