Intro to HS Math Final Exam Review Name: ______
UNIT 3: STATISTICS
Part 1: Dot Plots
A Dot Plot is a statistical chart containing ______ plotted on a simple scale
To make a dot plot, place a ______on top of the number every time the data point shows up in the set.
Example:
You Try!
Students from River City High School were randomly selected and asked, “How many pets do you currently own?” The results are recorded below:
______
Part 2: Histograms
A Histogram is a statistical chart that shows the ______of data.
To draw a histogram, ______how many data points fall into each ______and then draw a bar to represent the frequency.
Example:
You Try!
The following data represents the number of tweets per week.
61 / 59 / 66 / 69 / 4752 / 16 / 13 / 50 / 63
44 / 53 / 49 / 40 / 50
______
Part 3: 5 Number Summary
______– the ______number in the data set
______– The ______of the ______of the data
______– The ______of the data
______– The ______of the ______of the data
______– the ______number in the data set
Example: {0, 3, 6, 8, 10, 12, 14}
Minimum – 0Q1 – 3Q2 – 8Q3 – 12Maximum – 14
You Try!{8, 13, 15, 21, 23, 33, 44}
Minimum –
Q1 –
Q2 –
Q3 –
Maximum –
If the data is not in order from lowest to highest, you must put the data in ______first
If 2 numbers are in the middle of the data, to find the median, find the ______of the 2 numbers.
Example: {19, 2, 13, 8, 0, 5, 3, 2}
Put data in order: {0, 2, 2, 3, 5, 8, 13, 19}
Minimum – 0Q1 – 2 (Average of 2 and 2)Q2 – 4 (Average of 3 and 5)
Q3 – 11 (Average of 8 and 13)Maximum – 19
You Try!{5, 12, 7, 4, 3, 10, 1, 4}
Minimum –
Q1 –
Q2 –
Q3 –
Maximum –
______
Part 4: Outliers
Some data sets include numbers that are either ______or ______and don’t fit in with the other numbers in the set.
These are called ______
To find any outliers, follow these steps:
1. Find the ______
2. Find the ______which is the difference between ______and ______
3. Multiply the IQR by ______ to find the “magic number”
4. If any numbers in the data are ______Q1 minus the magic number or ______Q3 plus the magic number, they are ______
Example:{0, 15, 16, 17, 18, 20, 55}
Minimum – 0 Q1 – 15 Q2 – 17 Q3 – 20 Maximum – 55
IQR is 20 – 15, so the IQR is 5.
5 x 1.5 = 7.5 Q1: 15 – 7.5 = 7.5
Q3: 20 + 7.5 = 27.5
0 is less than 7.5 and 55 is more than 27.5, therefore 0 and 55 are outliers
You Try!
{2, 15, 19, 20, 21, 22, 34}
Minimum:Q1:Q2:Q3:Maximum:
IQR: ______
Outliers? ______
______
Part 5: Box and Whisker Plots
Box and Whisker plots are a visual representation of the ______
The whiskers are created from the ______and the ______
The box is made from ______, ______(the median) and ______.
Example:
You Try! Make a box and whisker plot of the following data:
{60, 60, 62, 63, 63, 66, 66, 66, 67, 68, 69, 69, 69, 69, 70, 70}
Minimum: Q1: Q2: Q3: Maximum:
______
Part 6: Stem and Leaf Plots
A plot where each data value is split into a “______" (usually the last digit) and a “______" (the other digits).
If any data points are only single digits, use ______ as the stem.
Example:
{22, 26, 27, 31, 33, 35, 42, 44, 46, 57, 58, 59, 61, 63, 64, 65, 67}
You Try!
Make a stem and leaf plot for the following data:
{12, 45, 23, 44, 18, 33, 9, 51, 17, 23, 43, 33, 30, 13, 10, 7, 40}
______
Part 7: Double Stem and Leaf Plots
Double Stem and Leaf Plots – Allow you to plot 2 different sets of data on one stem and leaf plot.
One set of data will be written on the ______, and the other set will be written on the ______.
The ______will be written in the ______
Example:
Example: The following data represents the ages of 10 Democrats and 10 Republicans in the Senate.
You Try! Make a double stem and leaf plot for the following data:
Males:
9 / 6 / 12 / 11 / 56 / 43 / 38 / 14 / 26 / 13Females:
18 / 12 / 22 / 45 / 39 / 10 / 8 / 13 / 21 / 277 / 11 / 10 / 18 / 19 / 32 / 20 / 23 / 16 / 16
______
Unit 3: Page 1 of 6