Make a stem-and-leaf plot for the set of data shown below. 72,64,68,66,70,89,91,54,59,71,71,85.

Name: Problem 43, Chapter 13: Prealgebra
Uploaded: 2020-05-28T22:40:45-08:00
Duration: 5 min 7 s
Channel: Joshua Fischbach
Description: Make a stem-and-leaf plot for the set of data shown below. 72,64,68,66,70,89,91,54,59,71,71,85.

Make a stem-and-leaf plot for the set of data shown below....

Key Concepts

Stem-and-Leaf Plot

A stem-and-leaf plot is a graphical method used to organize and display quantitative data. It segregates each data point into a 'stem' (typically representing the higher-order digits) and a 'leaf' (representing the lower-order digit), making it easier to see the distribution and the shape of the data set while preserving individual data points.

Data Visualization

Data visualization involves using graphical representations to illustrate data in a clear and efficient way. Graphical tools such as stem-and-leaf plots help users quickly identify patterns, trends, and potential outliers within a data set, thereby supporting better data interpretation and decision-making.

Data Organization

Data organization refers to systematically arranging data to facilitate analysis and interpretation. Techniques used in data organization include sorting, grouping, and summarizing data, which are essential steps in creating clear and informative visual displays like stem-and-leaf plots.

Transcript

00:01 One way to organize data in shorthand is called a stem and leaf plot.

00:05 Now, a stem and leaf plot is pretty simple.

00:07 It's called a stem and leaf because this is like the stem.

00:11 And then the data pieces are like the leaves.

00:13 Like you can imagine like leaves coming off the stem, right? so it's like a stem and leaf.

00:18 That's kind of how you set it up, right? so the stem and then the leaves are the pieces of data.

00:23 All right.

00:23 May i just go back and erase those.

00:25 All right.

00:26 So here's the data set that you're given.

00:28 When you do stem and leaf plot, you need a key.

00:31 You want to think about what place value you want your intervals to be.

00:35 It's basically like grouping by intervals.

00:37 So every line on your stem and leaf is basically going to be a place value interval.

00:43 And then looking at this, i'm saying 72, 64, 91, right? everything seems to be, you know, organized in the, from losing zero and 100, basically, right? less than 100.

00:55 So it looks like you're going to be counting by tens, right? so a good interval to count by is the tens.

01:00 So that means when you set up your stem and leaf, you're going to, like, let's take this value here.

01:05 This place is going to be the tens place, and this is going to be the ones place.

01:09 So we're going to start by putting our key in.

01:11 You always need a key for a stem and leave to interpret it.

01:13 So we're going to say that 7 slash 2 is 72.

01:19 And what that means is that we're counting by tens.

01:22 So there are intervals of 10s.

01:23 This is the 10s place.

01:24 So what you put in your stem on the left -hand side is basically the interval you're counting by.

01:30 So we're counting by tens here.

01:31 This is the tenths place.

01:33 And then the ones place is the individual pieces of data.

01:36 So 7 slash 2 is 7 tens and 2 ones, which is 72.

01:43 And once we have the key, we've established that, then we can start to organize our stem and leaf.

01:47 Now, when we do it, you might want to create an ordered stem and leaf flat, which basically means you're going to first put these values in order from least to greatest, or as you put them onto your stem and leaf plot, you're putting them in values from least to greatest.

01:58 So let's do that.

02:00 When you're creating a stem and leaf plot, you want to think about what the minimum value is here in terms of our interval.

02:06 So you got 70s, 60s, 70s, 80s, 90s.

02:10 It looks like the lowest one is the 50s, all right? so 50s is the lowest.

02:15 So we're going to start with 5 right there.

02:17 And we're going to go up from there.

02:19 So we can say 5, 6, 7, 8, 9.

02:24 All right.

02:25 There's our stem.

02:26 You can't have values that are gap with gaps, right? so even if there was no, let's say, 70s in our dataset, you don't want to have any gaps.

02:37 I want to be continuous here.

02:38 So if it's 55, 6, 7, 8, 9, and this is the 10th place.