Homework: pg. 128 #10, ) A. (Verify the area=1)

Slides:



Advertisements
Similar presentations
Measures of Position - Quartiles
Advertisements

The Standard Normal Curve Revisited. Can you place where you are on a normal distribution at certain percentiles? 50 th percentile? Z = 0 84 th percentile?
Normal distribution. An example from class HEIGHTS OF MOTHERS CLASS LIMITS(in.)FREQUENCY
Suppose we are interested in the digits in people’s phone numbers. There is some population mean (μ) and standard deviation (σ) Now suppose we take a sample.
AP Stats BW 9/17 1)Which set has the largest standard deviation? The smallest? a b c )Without calculating,
Homework Questions. Quiz! Shhh…. Once you are finished you can work on the warm- up (grab a handout)!
Powers of Monomials Lesson #4 Pg. 191.
Unit 3 Section 3-4.
Chapter 6.
Rules of Data Dispersion By using the mean and standard deviation, we can find the percentage of total observations that fall within the given interval.
Chapter 3 (continued) Nutan S. Mishra. Exercises Size of the data set = 12 for all the five problems In 3.11 variable x 1 = monthly rent of.
Chapter 3 Section 2 Normal Distributions. Normal Distributions as Density Curves Normal Curves: Symmetric, Single-Peaked and Bell-Shaped. They describe.
AP Statistics Chapter 9 Notes.
2.5 Normal Distribution SWBAT calculate areas under a standard normal curve in writing by converting between values and z- scores using a GCD or Table.
Mr. Markwalter.  People who keep organized notebooks are doing the best  People who copy down my examples are doing the best  People who ask questions.
Can you Sky-dive? This is a classic GCSE question which gets you loads of lovely points What do points mean? POINTS MEAN PASSES!
Chapter Six Normal Curves and Sampling Probability Distributions.
Chapter 7 Lesson 7.6 Random Variables and Probability Distributions 7.6: Normal Distributions.
Normal Distribution. Normal Distribution: Symmetric: Mean = Median = Mode.
5, 8, 13, 17, 22, 24, 25, 27, 29, 30. 8, 10, 22, 24, 25, 25, 26, 27, 45, 72 Graph & Describe.
Normal Curves Often good representation of real data Often good approximations of chance outcomes.
Section 2.1 Density Curves. Get out a coin and flip it 5 times. Count how many heads you get. Get out a coin and flip it 5 times. Count how many heads.
Thinking Mathematically Statistics: 12.4 The Normal Distribution.
Chapter 5 The Standard Deviation as a Ruler and the Normal Model.
Sample Means. Parameters The mean and standard deviation of a population are parameters. Mu represents the population mean. Sigma represents the population.
15.5 The Normal Distribution. A frequency polygon can be replaced by a smooth curve A data set that is normally distributed is called a normal curve.
Describing Distributions Means Standard deviation Z scores Normal distribution Norms Tracking.
Review X = {3, 5, 7, 9, 11} Range? Sum of squares? Variance? Standard deviation?
The Normal Distribution Represented by a function/graph. Area under the curve represents the proportions of the observations Total area is exactly 1.
Section 2.1 Density Curves
Chapter 2: Modeling Distributions of Data
Unit 8 Section 7.4.
Standardized scores and the Normal Model
Get out your notes we previously took on Box and Whisker Plots.
Z-Scores.
Lesson 15-5 The Normal Distribution
1 Random, normal, es =
Chapter 2: Describing Location in a Distribution
The Standard Deviation as a Ruler and the Normal Model
Density Curve A mathematical model for data, providing a way to describe an entire distribution with a single mathematical expression. An idealized description.
Unit 1 - Day 1 Introduction to
ANATOMY OF THE EMPIRICAL RULE
2.1 Density Curve and the Normal Distributions
Given the following data
2.1 Normal Distributions AP Statistics.
Normal Distribution.
12/1/2018 Normal Distributions
Standard Normal Calculations 2.2 b cont.
Warm Up – Tuesday The table to the left shows
PRACTICE A normal distribution of scores has a standard deviation of 10. Find the z-scores corresponding to each of the following values: a) A score of.
The Normal Distribution
Measuring location: percentiles
THE NORMAL DISTRIBUTION AND THE 68–95–99.7% RULE
Z-Scores The Normal Distribution
The Normal Distribution
Homework: pg. 136 #25, ) A. 2.5% B. Between 64 and 74 inches
The Normal Distribution
Homework: pg. 119 #3,4; pg. 122 #6-8 3.) A. Judy’s bone density score is about one and a half standard deviations below the average score for all women.
CHAPTER 12 Statistics.
The Normal Distribution
Please copy your homework into your assignment book
Homework: pg. 142 #29, 30 pg. 147 # ) A B C D ) A B C D ) A B
The Binomial Distributions
Density Curves and the Normal Distributions
Homework: pg. 500 #41, 42, 47, )a. Mean is 31 seconds.
What’s your nationality? Where are you from?
Warm Up /1 Which of the following statements is true given the dot plot? The distribution is skewed left, so the mean is greater than the median.
Normal Distribution.
Chapter Outline The Normal Curve Sample and Population Probability
Chapter 12 Statistics.
Presentation transcript:

Homework: pg. 128 #10, 13 10.) A. (Verify the area=1) .20 C. .60 D . .50 E. 0.5 13.) A. Verify the area=1 B. 0.2 C. 0.6 D. 0.35 E.) The area between 0 and 0.2 is .35. The area between 0 and 0.4 is 0.6. The “equal areas” point is between 0.2 and 0.4.

Homework: pg. 131 #19, 20 19.) A. Erik did really well for his own times, but relatively slow compared to the other runners B. Erica was only relatively slower than usual by her own standards, but she was still pretty fast compared to the other swimmers at the state meet.

20.) A. 0.5(0.5)(0.8)+0.5(0.5)(0.8)+1(0.6)=1 Median=0.5; quartiles at 0.3 and 0.7 25.2% 49.6%

2.2 Normal Distributions

Normal Distributions

68-95-99.7 Rule The 68-95-99.7 Rule: Approximately 68% of the observations fall within of the Approximately 95% of the observations fall within of the Approximately 99.7% of the observations fall within of the

68-95-99.7 Rule

68-95-99.7 Rule

68-95-99.7 Rule IQ Test What % is above 115? What % is between 85 and 115? What % is between 70 and 85?

68-95-99.7 Rule B. Battery Life What % is at least 44 hours? How many of 1500 batteries are 1 s.d. within the mean? What % is between 45 and 54?

HW: pg 137 #25, 26