Calculator Guide: Statistics Functions and Empirical Rule Review
This guide covers essential statistics functions in calculators needed for handling data sets, including how to calculate average, standard deviation, and variance. It also discusses the Empirical Rule for normal distributions, detailing the mean and standard deviation of height for females aged 25-34, and the use of box and whisker plots. Additionally, it focuses on the distinction between categorical and quantitative data, illustrates the difference between frequency and proportion, and provides examples of data analysis techniques relevant to your upcoming tests.
Calculator Guide: Statistics Functions and Empirical Rule Review
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Presentation Transcript
Remember? • Do you remember how to get to List 1 in your calculator? • How do you get the average and standard deviation in your calculator after typing information in? • Where is the variance located in your calculator? -Tests handed back next…
Categorical or Quantitative? • Grade Point Average • Favorite Color • Height • Weight • Type of Pet You Own • Age • Q • C • Q • Q • C • Q
Discrete or Continuous? • Age • Weight • Height • # of Pets • # of Video Games You Own • Distance You Live from School • D/C • C • C • D • D • C
Frequency versus Proportion • What is the frequency of blondes? • Bl, Bl, Br, Red, Br • 2
Frequency versus Proportion • What is the proportion of blondes? • Bl, Bl, Br, Red, Br • 0.4
Frequency versus Proportion • What is the percentage of blondes? • Bl, Bl, Br, Red, Br • 40%
Make a List… • What are all of the graphs we discussed in Chapter 2?
Make a List… • Pie Chart, Bar Graph, Stem and Leaf Plot, Dot Plot, Histogram, Time Plot, Pareto Chart
Create a Stem & Leaf Plot • 85, 72, 75, 90, 85, 85, 88, 93, 95, 90 7 25 8 5558 9 0035
Mean, Median, Standard Deviation, Variance • 85, 72, 75, 90, 85, 85
Mean, Median, Standard Deviation, Variance • 88, 93, 95, 90, 65, 45, 58, 62, 72, 93, 95
Mean, Median, Standard Deviation, Variance • 3.2, 3.5, 2.5, 4.0, 1.7, 2.5, 3.8, 3.6, 3.6
Empirical Rule • Females between 25 and 34 years of age have a bell-shaped distribution for height, with a mean of 65 inches and standard deviation of 3.5 inches • Give an interval within which 68% of the data falls. From 61.5 to 68.5
Empirical Rule • Females between 25 and 34 years of age have a bell-shaped distribution for height, with a mean of 65 inches and standard deviation of 3.5 inches • Give an interval within which 95% of the data falls. From 58.0 to 72.0
Empirical Rule • Females between 25 and 34 years of age have a bell-shaped distribution for height, with a mean of 65 inches and standard deviation of 3.5 inches • Give an interval within which 99.7% of the data falls. From 54.5 to 75.5
Empirical Rule • Which scenario creates a graph that is MORE spread out? • 1) μ=4.5, σ=1.9 • 2) μ=7.2, σ=3.4 #2 – bigger standard deviation
Create a Box and Whisker Plot • 85, 72, 75, 90, 85, 85
Create a Box and Whisker Plot • 88, 93, 95, 90, 65, 45, 58, 62, 72, 93, 95
Create a Box and Whisker Plot • 3.2, 3.5, 2.5, 4.0, 1.7, 2.5, 3.8, 3.6, 3.6
Interquartile Range • Minimum = 33,100 • Q1 = 39,250 • Median = 42,700 • Q3 = 48,850 • Maximum = 61,800 • Q3 – Q1 = 9,600
Z-score • The mean is 8.20 and the standard deviation is 4.56. Find the z-score associated with the value of 1. • What does this mean?
Z-score • The mean is 8.20 and the standard deviation is 4.56. Find the z-score associated with the value of 11.3. • What does this mean?
Z-score • The mean is 8.20 and the standard deviation is 4.56. Find the z-score associated with the value of 8.20. • What does this mean?
Learning Objective 2:Class Exercise There are 7 students in a class who are either freshman, sophomores, juniors, or seniors. The number of students in this class who are juniors is _____. 3
Time for our study guide!! • I will post answers to my web site some time tomorrow after you have had a chance to work through it.
Time Line • Tuesday – Chapters 3 and 4 • Wednesday – Chapters 5 and 6 • Thursday – FINAL!!!! • Friday – FINAL!!!!!!! • TURN IN YOUR BOOKS!!!
