Normal distributions are symmetric about the median. The peak of the normal curve corresponds to the median of the variable on the horizontal axis. Ask students to find the class which contains the median and approximate a median time using the data from Table B. Will the answer to question (3) be the same for all three bags if they came from the same box? To answer this question three bags should be popped and the results should be recorded in three different frequency tables. Let the students answer the question using the 3 medians calculated using the same classes. Initiate a discussion of natural variability. Ask students to speculate about results using bags from different brand names and from different boxes from the same brand name. How long will it take to reach the 5 marked points on the curve? Ask the students to mark the points A, B, C, D, and E on the smoothed curve on their Graph 1. At what times of the popping, does it reach these 5 points? Do they agree with each estimates and with the estimates of the 4 volunteers who only estimated the time to other’s reach the 5 points? How long will it take to hear the last popping sound? Since the experiment has been stopped (censored) at 2 minutes, it is not possible to estimate the time of the last popping sound. Let the students speculate on the answer. What is the area under the curve? Ask the students to find the areas of the rectangles in Graph 1 and add. Assessment The following table represents the height distribution of 80 adults in a service club. Height in Inches Tally Frequency 60-62 // 2 62-64 //// // 7 64-66 //// //// //// /// 18 66-68 //// //// //// //// //// / 26 68-70 //// //// //// //// 19 70-72 //// / 6 72-74 / 1 74-76 / 1 Draw a histogram to represent the data.
Normal distributions are symmetric about the median. The peak of the normal curve corresponds to the median of the variable on the horizontal axis. Ask students to find the class which contains the median and approximate a median time using the data from Table B. Will the answer to question (3) be the same for all three bags if they came from the same box? To answer this question three bags should be popped and the results should be recorded in three different frequency tables. Let the students answer the question using the 3 medians calculated using the same classes. Initiate a discussion of natural variability. Ask students to speculate about results using bags from different brand names and from different boxes from the same brand name. How long will it take to reach the 5 marked points on the curve? Ask the students to mark the points A, B, C, D, and E on the smoothed curve on their Graph 1. At what times of the popping, does it reach these 5 points? Do they agree with each other’s estimates and with the estimates of the 4 volunteers who only estimated the time to reach the 5 points? How long will it take to hear the last popping sound? Since the experiment has been stopped (censored) at 2 minutes, it is not possible to estimate the time of the last popping sound. Let the students speculate on the answer. What is the area under the curve? Ask the students to find the areas of the rectangles in Graph 1 and add. Assessment The following table represents the height distribution of 80 adults in a service club. Height in Inches Tally Frequency 60-62 // 2 62-64 //// // 7 64-66 //// //// //// /// 18 66-68 //// //// //// //// //// / 26 68-70 //// //// //// //// 19 70-72 //// / 6 72-74 / 1 74-76 / 1 Draw a histogram to represent the data.
WhatDoestheNormalDistributionSoundLike.docx