1. Displaying data in Stem-and-Leaf Plots and Histograms
Lesson 62
Displaying data in Stem-and-Leaf Plots and Histograms

2. Stem-and-leaf plot
A stem-and-leaf plot is a data display that uses some digits as "stems" and others as "leaves". The "stems" have a greater place value than the "leaves".
Stem-and-leaf plots are helpful in organizing data and displaying it to show the distribution of values when there is not a large spread of values.
The digits other than the last digit are the "stem". The last digit of a number is the "leaf"

3. example Create a stem-and-leaf plot of the data: Ages of Dancers
19,25,34,32,48,24,28,29,26,34,17,58,47,38,27,29
Step1: organize the data by each tens value. Write in ascending order.
10's ,19
20's ,25,26,27,28,29,29
30's ,34,34,38
40's ,48
50's
Step 2: Use the ten's digit of each group as the stem of a row. Write each one's digit as the leaf for the corresponding ten's digit.
Step 3: Create a key to show how to read each entry in the plot l 7 = 47

4. Stem leaves

5. Stem-and-leaf plots are used to show the distribution of data
Stem-and-leaf plots are used to show the distribution of data. It makes it easier to identify unequal distributions.
They are used to find measures of central tendency and other statistical measures because the actual data points are included in the plot.
One of the statistical measures that is helpful is relative frequency.
In an experiment, the number of times an event happens divided by the total number of trials is the relative frequency of that event.

6. Analyzing a stem-and-leaf plot
Find the median from the example given earlier
Find the mode
Find the range
Find the relative frequency of 34
Find the mean

7. histogram
A histogram is a bar graph that displays the frequency of data in equal intervals.
Each bar must be the same width and should touch the bar(s) next to it.
Create a histogram from the stem-and-leaf plot earlier.

8. Calculator see lab 6 p. 404
You can enter the data into a list in the calculator.
Change the window to best view the data
On the STAT PLOT screen, select the histogram plot.

9. Lesson practice p. 409 a and b

10. Calculating frequency distributions
Lesson 80
Calculating frequency distributions

11. Frequency distribution
A frequency distribution shows the number of observations falling into several ranges of data values. Tables, graphs, tree diagrams, and lists are used to show frequency distributions.
Frequency is how often something happens
Discrete events have a finite number of outcomes.
A compound event is an event consisting of 2 or more simple events. A compound event could be tossing heads and then tails on a coin.

12. Exporation p. 523
Complete in class

13. Using experimental probability
A baseball player bats multiple times in a season. The table shows the results of each at bat. Make a bar graph that shows the frequency distribution of the data. Find the experimental probability of each outcome.
OUT WALK SINGLE DOUBLE TRIPLE HOME RUN

14. Representing data with a table
A student spins a spinner that contains 4 colors: red, red, blue, and yellow and flips a fair coin.
1) make a table to show the possible outcomes in this experiment
2) find the theoretical probability of each outcome
red blue red yellow
Heads RH BH RH YH
Tails RT BT RT YT

15. Representing data with a graph
Suppose that 11 cards each contain 1 letter from the word MISSISSIPPI
Make a bar graph to represent the frequency distribution for all letters
Find the theoretical probability of each outcome (letter)