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Stem and Leaf Plots 8802 Views


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Description:

This video covers how to set up a stem and leaf plot and use it to find the mean and median of a set of numbers.

Language:
English Language

Transcript

00:04

Stem and Leaf Plots, a la Shmoop. Kathryn R. Pillar lives on a plant stem.

00:11

Don't ask us why, but she insists on arranging all her leaves into stem-and-leaf plot formations

00:15

before she eats them. However, every time there's wind, her leaves

00:20

get blown out of sequence. Here are the leaves, by number:

00:28

Okay... before we get started... what in the world is a stem-and-leaf plot?

00:32

It's basically a way of organizing data that shows the relationship of each value to the

00:37

other values. To make a stem-and-leaf plot, create the "stem"

00:42

by listing the digits with the largest place value to the left of a vertical line.

00:47

In this case, we have the tens place...5 for 50, 4 for 40, 3 for 30, and 2 for 20.....

00:55

The remaining digits... those in the ones place...

00:58

...will be written to the right of the vertical line to create and organize the "leaves."

01:04

Now that Kat has finished organizing, she decides that she wants to eat the middle leaf

01:07

first. To find the middle leaf, also known as the

01:12

median... ... we can simply cross out one number from

01:14

the top and bottom until we reach the middle number.

01:17

Unfortunately, Kat has found that the median lands between 47 and 45.

01:22

She doesn't have a leaf labeled "46".. ...so she settles for the next best thing...

01:28

the leaf with the average value. To find the average, or mean, we just have

01:33

to add up the numerical values of all the leaves...

01:36

... and divide by the total number of leaves. All of them added together equals 760. When

01:43

we divide that by the total number of leaves... 18... it gives us roughly 42.2.

01:50

Finally, Kat can lie down and try to sleep off her food coma.

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