The data show the heights in feet of 14 roller coasters....

The data show the heights in feet of 14 roller coasters. Find the mean, median, midrange, and mode for the data.
$\begin{array}{rrrrrrr}{95} & {105} & {50} & {125} & {102} & {120} & {160} \\ {102} & {118} & {91} & {160} & {95} & {50} & {84}\end{array}$

Key Concepts

Arithmetic Mean

The arithmetic mean is a measure of central tendency calculated by summing all the values in a dataset and then dividing by the count of those values. It provides an average that represents the overall level of the dataset.

Median

The median is the middle value in an ordered dataset. It splits the data into two equal halves, making it a robust measure of central tendency, especially in the presence of outliers.

Mode

The mode is the value that appears most frequently in a dataset. It is useful for identifying the most common or recurring value in a set of observations.

Midrange

The midrange is computed by taking the average of the smallest and largest values in a dataset. It gives a rough estimate of the central value, though it can be heavily influenced by extreme values.

Transcript

00:02 So we have some data here about the heights of roller coasters.

00:08 The first thing i did was go ahead and put them in order from least to greatest.

00:12 Big thing here is making sure that you go back and check to make sure that you have 14 heights.

00:18 And so when you reorder them, you have 14 heights.

00:21 So the first thing we're going to do is find the mean.

00:24 Another way to say the mean is to find the average of your data sets.

00:29 So when we look at the average, we're going to take an add all heights, and then we're going to divide that by the number of heights.

00:50 So for example, for adding all of the heights, so that's 50 plus 50 plus 84 plus 91 plus 95 plus 95.

00:59 And when you add all those up, you get 1 ,457.

01:05 And we're going to divide that by the number of heights.

01:08 We have 14 roller coasters, so 14 different heights.

01:13 And then when we divide those two numbers, we get 104 .07, which i rounded to 104 .1.

01:26 So the mean is basically asking you for the average of all of the heights put together.

01:32 So then the next thing we're going to look at is your median.

01:36 For median, i call this the middle because it is the middle value of your data set.

01:43 So if we go up here, it's nice that it's in order from least to greatest, so we can take off the highest and the lowest numbers, low number for a high number...

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