Curly Hair Care



AP Statistics Name: ____________________________ Chapter 1 – Exploring Data Date: ____________________ Per: _____Section 1.3 Part 1: Describing Quantitative Data with Numbers pgs. 48 - 55Today, you will learn how to:Calculate measures of center (mean and median)Calculate measures of spread (range, IQR, standard deviation)Choose the appropriate measure of center and spread in a given settingActivity: How Many Colleges Are You Applying To? 1. Here is the data for a class of 8 AP Stats students and how many colleges they are applying to: 5, 4, 6, 5, 3, 6, 8, 3 2. Calculate the mean and median for the set of data. Compare them.Value Distance from mean(Distance from mean)2Total:Average (Distance from mean)2 n-1/3. What is the range of the data?Finding Standard Deviation4. Finding range is helpful but it does not tell us how spread out the data is between the minimum and maximum. How can we find the average distance of the values from the mean? a. Complete the table.b. The average you calculated is the average of the squared distances from the mean. How do we use this to find the average distance from the mean? Find it.c. Interpret the standard deviation. 5. Let’s say the student who applied to 8 colleges decided to apply to even more - 20 colleges. Change her value in the data set. Calculate the new mean, median and standard deviation. How does it compare to the original measures? Why do you think this is?Big Ideas from Section 1.3 Part 1: Describing Quantitative Data with Numbers39509678572500Check Your Understanding:Some students purchased pumpkins for a carving contest. Before the contest began, they weighed the pumpkins. The weights in pounds are shown here, along with a histogram of the data.Calculate the mean weight x of the pumpkins. Show your work & appropriate notation. Always answer the question in a complete sentence for full credit. Find the median weight of the pumpkins. Would you use the mean or the median to summarize the typical weight of a pumpkin in this contest? Explain. AP Statistics Name: ____________________________ Chapter 1 – Exploring Data Date: ____________________ Per: _____Section 1.3 Part 2: Describing Quantitative Data with Numbers pgs. 55 - 68Today, you will learn how to:Calculate measures of center (mean and median)Calculate measures of spread (range, IQR, standard deviation)Choose the appropriate measure of center and spread in a given settingActivity: Where Do You Stand? 1. In pairs, measure each other’s height, rounded to the nearest inch. 2. Plot your height on the dotplot at the front of the room (females use red, males use green).3. Record the class dotplot. -228600151130004572001435104. Let’s make a line at the front of the room, shortest to tallest.5. What is the median height? Describe & show how you found it.6. What are Q1 and Q3? Describe & show how you found them.7. Record the Five-Number Summary and then use the values to make a boxplot of the class’s heights.Minimum:Q1:Median:228600018986500Q3:Maximum:8. The interquartile range (or IQR) is defined as Q3 ? Q1. Find the IQR. Where do you see the IQR in the boxplot?9. An outlier is a data value that is way too small or way too big using the 1.5(IQR) rule. Are there any outliers? Show your work.Lower bound: Q1-1.5IQR=Upper bound: Q3+1.5IQR=10. Now we will separate our data into two groups, females and males. Find the Five-Number Summary for each. 262890016446511. Draw parallel boxplots comparing males & females.11. Draw parallel boxplots comparing males & females.Heights for females : 27432001422400-4572002794000Minimum: Q1: Median: Q3:Maximum:Heights for males: -45720011176000274320016827500Minimum: Q1: Median: Q3:Maximum:-68580021018512. Write a few sentences comparing the distribution of heights for girls with the distribution of heights for boys.0012. Write a few sentences comparing the distribution of heights for girls with the distribution of heights for boys. Big Ideas from Section 1.3 Part 2: Describing Quantitative Data with NumbersFive Number Summary/Boxplots:Outliers:SOCS + Context: Groupwork:SandwichFat (g)Filet-O-Fish?19McChicken?16Premium Crispy Chicken Classic Sandwich22Premium Crispy Chicken Club Sandwich33Premium Crispy Chicken Ranch Sandwich27Premium Grilled Chicken Classic Sandwich9Premium Grilled Chicken Club Sandwich20Premium Grilled Chicken Ranch Sandwich14Southern Style Crispy Chicken Sandwich19#1. McDonald’s Fish and Chicken SandwichesHere are data on the amount of fat (in grams) in 9 different McDonald’s fish and chicken sandwiches. (a) Find the mean amount of fat for fish and chicken sandwiches. Interpret the mean. (b) The Premium Crispy Chicken Club Sandwich is a potential outlier. How much does this one sandwich increase the mean?(c) What is the Five-Number Summary?(d) Find & Interpret the IQR correctly in its context. SandwichFatBig Mac?29Cheeseburger12Daily Double24Double Cheeseburger23Double Quarter Pounder? with cheese43Hamburger9McDouble19McRib?26Quarter Pounder? Bacon and Cheese29Quarter Pounder? Bacon Habanero Ranch31Quarter Pounder? Deluxe27Quarter Pounder? with Cheese26#2. McDonald’s Beef SandwichesHere are data for the amount of fat (in grams) for McDonald’s beef sandwiches.(a) Find the median and mean by hand. Show your work. Which is a better measure of center? (b) Find and interpret the IQR for the distribution of fat in McDonald’s beef sandwiches.(c) Determine whether there are any outliers in the distribution of fat for McDonald’s beef sandwiches. 2743200342900285750034290000-91440031686500Independent Practice (complete all):2857500305435005. The following boxplots show the total income of 40 randomly chosen households each from Connecticut, Maine, and Massachusetts, based on U.S. Census data from the American Community Survey. Compare the distributions of annual incomes in the three states. ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download