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Problem Solving and Data Analysis 15 – Boxplots and Histograms Day 2 Calculator Required Entrance Slip Discussion Below are the ages of the first twenty winners of the Academy Award for Best Actress. Use these values to answer the questions below. 22 29 24 30 25 30 26 31 26 32 27 35 27 37 28 38 1. How many of these values are in the range of 20 to 29 (inclusive)? 11 2. How many of these values are in the range of 30 to 39 (inclusive)? 7 3. How many of these values are in the range of 40 to 49 (inclusive)? 1 4. How many of these values are in the range of 50 to 59 (inclusive)? 0 5. How many of these values are in the range of 60 to 69 (inclusive)? 1 28 40 29 63 Entrance Slip Discussion Below are the ages of the first twenty winners of the Academy Award for Best Actress. Use these values to answer the questions below. 22 24 25 26 26 27 27 28 28 29 29 30 30 31 32 35 37 38 40 63 The same information can be organized in a histogram. Histogram Collection 1 12 First 20 Best Actress Winners 10 Count 8 6 4 2 20 30 40 50 60 Age 1. How many of these values are in the range of 20 to 29 (inclusive)? 2. How many of these values are in the range of 30 to 39 (inclusive)? 3. How many of these values are in the range of 40 to 49 (inclusive)? 4. How many of these values are in the range of 50 to 59 (inclusive)? 5. How many of these values are in the range of 60 to 69 (inclusive)? 11 7 1 0 1 70 Entrance Slip Discussion Below are the ages of the first twenty winners of the Academy Award for Best Actress. 22 29 24 30 25 30 26 31 26 32 27 35 27 37 28 38 28 40 29 63 Histogram Collection 1 12 First 20 Best Actress Winners 10 Count 8 6 4 2 20 30 40 50 60 70 Age The boxes (called bins) on the horizontal axis represent an age range for the actresses. The two 30 year old winners are in the second bin. The 40 year old winner is in the third bin. The number on the left side of each bin is included in that bin. The height of each bar is determined by the number of actress who fell within the specific range. The histogram below shows the number of vehicles that a car rental agency currently has available to rent, categorized by fuel efficiency ratings. C B A D The bins of the histogram have been labeled A, B, C, and D. For each value below, identify the bin in which the value lies. If the value does not belong in any of the bins, select ‘none of these’. 12 A B C D none of these 27 A B C D none of these 15 A B C D none of these 30 A B C D none of these 18 A B C D none of these 32 A B C D none of these 20 A B C D none of these 35 A B C D none of these 23 A B C D none of these 37 A B C D none of these 25 A B C D none of these The histogram below shows the average life span (rounded to the nearest year) for a variety of animals. Histogram Collection 1 Animal Life Span 10 Count 8 6 4 2 10 15 20 25 30 1. Between which two ages did most of the animals fall? 35 LifeSpan 40 45 50 55 60 Between 20 and 24 inclusive 2. How many animals could have had a life span of exactly 33 years? Zero. It is an empty bin. 3. How many animals could have had a life span of exactly 37 years? There could be zero or one. 4. How many animals could have had a life span of exactly 40 years? There could be zero, one, or two. 5. What is the shortest life span possible for this collection of animals? 10 years 6. What is the longest life span possible for this collection of animals? 59 years From a histogram, we cannot say exactly what the minimum or maximum values of a data set are. The cost of each house in New Mexico is summarized in the histogram below. Houses that are worth more than 1 million dollars are not shown due to space limitations. The most expensive houses are not included. We cannot find the maximum. We cannot know the exact maximum value from the histogram either. We only know that the maximum is somewhere between 950 thousand (inclusive) and 1,000 thousand (exclusive). Above 1 million dollars, the number of houses continues to decrease steadily as the cost increases. What is the range of the house costs? A. B. C. D. 0 150 thousand 1,000 thousand There is not enough information to determine the range. The histogram below summarizes the Flesch grade equivalent (a readability statistics in which each value has one decimal place) for the Newberry award-winning books from 1922 to 1993. There are a total of 72 data points. The median would be between the 36th and 37th values. These values occur in the third bin. Select All That Apply – Which of the following values could be the value of the median? A. 5.5 B. 6 C. 6.5 D. 7 E. 7.5