Warm Up! Write down objective and homework in agenda Lay out homework (comparing data sets) Homework (Review Sheet) Get a Calculator!!

Slides:

Advertisements

Similar presentations

DESCRIBING DISTRIBUTION NUMERICALLY

Advertisements

Measures of Position - Quartiles

Pre-test and Warm-up. Practice At East Hall high school for physical fitness week all the ninth graders height was measured in inches and written down.

Introduction Data sets can be compared and interpreted in the context of the problem. Data values that are much greater than or much less than the rest.

Warm Up. Lesson 54, Displaying Data in a Box-and- Whisker Plot Probability and Statistics.

Homework Questions. Quiz! Shhh…. Once you are finished you can work on the warm- up (grab a handout)!

Chapter 5 – 1 Chapter 5: Measures of Variability The Importance of Measuring Variability The Range IQR (Inter-Quartile Range) Variance Standard Deviation.

Vocabulary for Box and Whisker Plots. Box and Whisker Plot: A diagram that summarizes data using the median, the upper and lowers quartiles, and the extreme.

BOX PLOTS/QUARTILES. QUARTILES: 3 points in a set of data that separate the set into 4 equal parts. Lower Quartile: Q1 (The median for the lower half.

Warm-Up If the variance of a set of data is 12.4, what is the standard deviation? If the standard deviation of a set of data is 5.7, what is the variance?

Materials Reminders. Get out your agenda if you see your name below. You need to come to my room tomorrow. Period 2Period 7.

Section 1 Topic 31 Summarising metric data: Median, IQR, and boxplots.

The Median of a Continuous Distribution

Measure of Central Tendency Measures of central tendency – used to organize and summarize data so that you can understand a set of data. There are three.

Continued… Obj: draw Box-and-whisker plots representing a set of data Do now: use your calculator to find the mean for 85, 18, 87, 100, 27, 34, 93, 52,

Warm-Up Define mean, median, mode, and range in your own words. Be ready to discuss.

Displaying Quantitative Data Graphically and Describing It Numerically AP Statistics Chapters 4 & 5.

Quantitative data. mean median mode range  average add all of the numbers and divide by the number of numbers you have  the middle number when the numbers.

Box-And-Whisker Plots By Virginia Vimpeny Lewis. What information do we need? Minimum data value Lower Quartile Median Upper Quartile Maximum data value.

Box and Whisker Plots Measures of Central Tendency.

Numerical Measures of Variability

EXAMPLE 3 Standardized Test Practice SOLUTION From Example 2, you know the interquartile range of the data is 0.9 inch. Find 1.5 times the interquartile.

Warm Up for 8/4 Make Sure to Get a Calculator Calculate the measures of central tendency for the data set above. 2. Determine.

Compare the following heights in inches: BoysGirls

Warm Up Simplify each expression

NAME ____________________________________ DATE ____________________ PERIOD ______Samples & Populations: Problem 2.3 – Choosing Random Samples You are going.

Cumulative frequency Cumulative frequency graph

Plan for Today: Chapter 11: Displaying Distributions with Graphs Chapter 12: Describing Distributions with Numbers.

COMPUTATIONAL FORMULAS AND IQR’S. Compare the following heights in inches: BoysGirls

Concept: Comparing Data. Essential Question: How do we make comparisons between data sets? Vocabulary: Spread, variation Skewed left Skewed right Symmetric.

5-Number Summary A 5-Number Summary is composed of the minimum, the lower quartile (Q1), the median (Q2), the upper quartile (Q3), and the maximum. These.

ALL ABOUT THAT DATA UNIT 6 DATA. LAST PAGE OF BOOK: MEAN MEDIAN MODE RANGE FOLDABLE Mean.

Chapter 1 Lesson 4 Quartiles, Percentiles, and Box Plots.

StatisticsStatistics Unit 5. Example 2 We reviewed the three Measures of Central Tendency: Mean, Median, and Mode. We also looked at one Measure of Dispersion.

Warm Up! Write down objective and homework in agenda Lay out homework (Box Plot & Outliers wkst) Homework (comparing data sets) Get a Calculator!!

MM2D1: Using sample data, students will make informal inferences about population means and standard deviations b. Understand and calculate the means and.

Introduction Data sets can be compared by examining the differences and similarities between measures of center and spread. The mean and median of a data.

ALL ABOUT THAT DATA UNIT 6 DATA. LAST PAGE OF BOOK: MEAN MEDIAN MODE RANGE FOLDABLE Mean.

7-2 Box-and-Whisker Plots. 7-2 Box-and-Whisker Plots Lesson 7.2.

All About that Data Unit 6 Data.

Bell Ringer What does the word “average” mean in math?

Bellwork 1. Order the test scores from least to greatest: 89, 93, 79, 87, 91, 88, Find the median of the test scores. 79, 87, 88, 89, 91, 92, 93.

Find the lower and upper quartiles for the data set.

Cumulative Frequency Diagrams

Learn to display and analyze data in box-and- whisker plots.

All About that Data Unit 6 Data.

Unit 2 Section 2.5.

Bell Ringer Create a stem-and-leaf display using the Super Bowl data from yesterday’s example

Analyze Data: IQR and Outliers

Outliers and Skewed Data

Lesson 10-3 Data Distributions

Need: Calculator Warm Up

Warm-up 8/25/14 Compare Data A to Data B using the five number summary, measure of center and measure of spread. A) 18, 33, 18, 87, 12, 23, 93, 34, 71,

Descriptive Statistics: Describing Data

The absolute value of each deviation.

Data Analysis and Statistical Software I Quarter: Spring 2003

Means & Medians.

Measures of Position Section 3.3.

Key points! *Use the mean and mean absolute deviation (MAD) to describe symmetric distributions of data. *Use the median and the interquartile range (IQR)

Vocabulary for Feb. 20-Mar

MCC6.SP.5c, MCC9-12.S.ID.1, MCC9-12.S.1D.2 and MCC9-12.S.ID.3

Box-and-Whisker Plots

Box-and-Whisker Plots

Key points! *Use the mean and mean absolute deviation (MAD) to describe symmetric distributions of data. *Use the median and the interquartile range (IQR)

Box-And-Whisker Plots

Box and Whisker Plots.

Box-and-Whisker Plots

5 Number Summaries.

Warm-Up Define mean, median, mode, and range in your own words. Be ready to discuss.

Women’s Golf Scores (8 golfers)

Presentation transcript:

Warm Up! Write down objective and homework in agenda Lay out homework (comparing data sets) Homework (Review Sheet) Get a Calculator!!

Warm Up Compare the data and describe the distributions of the data. The heights are in inches.

Warm Up The shape of the heights of young men and young women is skewed left. Typically, young men are about 70 inches tall, while young women are typically about 65 inches tall. The heights of young men ranges from inches, while in young women, it ranges from inches. Most young men are about inches, while most young women are inches. In general, young men are usually taller than women, which is why most of their data is higher. There is a large range, and few really low heights, probably because some young men and women have gone through puberty or hit a growth spurt, while some still have not.

Number of tickets to see “The Avengers” Carmike CinemasIMAX Theater 2 Day Day Day Day Day

For each, find the minimum tickets, The maximum tickets, The range, The mean, The median, The lower quartile, The upper quartile, The interquartile range, The standard deviation, and Outliers Carmike Cinemas IMAX Theater 2 Day Day Day Day Day

CarmikeImax minimum tickets: 45 maximum tickets: 100 Range: 55 Mean: 82.6 Median: 90 lower quartile: 66 upper quartile: 95.5 interquartile range: 29.5 standard deviation: 19.3 or 21.6 Outliers: No! minimum tickets: 70 maximum tickets: 100 Range: 30 Mean: 82 Median: 72 lower quartile: 70.5 upper quartile: 98.5 interquartile range: 28 standard deviation: 13.5 or 15.1 Outliers: No!

Side by Side Box Plots

Compare the data and describe the distribution What is the better movie theater?

The shape of Carmike Cinemas is skewed left, while the Imax theater is mound shaped. The average tickets sold a day for Carmike was 90, while the average tickets sold for Imax was 72. Carmike theaters had a very large range of 55, with most of the data being between 66 & Imax had a smaller range of 30, and most of their data between 70.5 and For Carmike, most data was fairly high, but the one day of 45 skewed the data. It seems like overall, Carmike is the better theater.

Review Sheet Get started on your homework!!