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2286000Part A: Create a dot plot of the data above (see graph below)120015070485Part B: What observations can you make about the shape of the distribution?The data is skewed right.Part C: Are there any values that seem to not fit? If so, why?Yes, 8 seems to be an outlier.NameHeight (ft.)Mt. McKinley 20,320Mt. St. Elias 18,008Mt. Foraker 17,400Mt. Bona 16,500Mt. Blackburn 16,390Mt. Sanford 16,237Mt. Vancouver 15,979South Buttress 15,885Mt. Churchill 15,638Mt. Fairweather 15,300To the right are the mountain heights for mountains in the United States that are taller than 14,000 feet, which happen to all be in Alaska. Part A: Complete the frequency table below.Mountain HeightFrequency15,000 – 15,999416,000 – 16,999317,000 – 17,999118,000 – 18,999119,000 – 19,999020,000 – 20,9991Part B: Describe why a histogram would be used for the data.Answers will vary: The data is spread out; There is a range of values; Large numbersThe average number of Instagram likes per day for Ms. Rozycki’s class was recorded and constructed into the following box plot.The minimum is approximately ___30____.f. The maximum is approximately __125___.The first quartile is approximately _50_.g. The third quartile is approximately _100_.The median is approximately ___75___.75% of students like at most ___100___ photos per day.The top 25% of students like between __100__ and __125__ photos per day.1028700306705Consider the following box plot.Part A: Identify the following: The minimum is ___3____.d. The maximum is ___10____.The first quartile is ___3___.e. The third quartile is __10____.The median is ___6____.Part B: Explain why this box plot is unique.The box plot doesn’t have “arms” because the min= Q1 and the max = Q3.1990725419100Below is a dot plot of the number of students in each math class at Lincoln Park Academy.Part A: Looking at the dot plot, where is the value of the median?29Part B: What is the value of the mean?28.89Part C: Why do you think the values are so close to each other?Because it is a normal distributionBelow are the test scores from the last math test for two different classes.Class BClass AClass BClass ADescribe the shape of each distribution.Class A: normal distributionClass B: skewed rightWhich class has the largest median score? What is it? Class B has the largest median score. It is 80.Which class has the largest IQR (or spread)? What is it? Show your work!Class B has the largest IQR: 87 – 73 = 14 > 82 – 73 = 9Below are dot plots of the number of chocolate chips in two different store brand cookies.12192002286000Which data set has a larger standard deviation? Explain.The data set on the right will have the larger standard deviation because it has a data point further away from the mean.Consider the following two box plots.Calculate the IQR (or the spread) for each box plot. IQR of top boxplot: ____6_____IQR of bottom boxplot: ____3_____Jiffy Mix in Chelsea, Michigan has a machine that fills the Jiffy Corn Muffin Mix boxes with Mix. It dispenses cereal with a normal distribution and has mean of 10.0 and a standard deviation of 0.1 ounces.The middle 95% of Jiffy Corn Muffin Mix boxes contain between _____9.8______ and ______10.2______ ounces of cereal.Approximately 68% of Jiffy Corn Muffin Mix boxes have between _____9.9_____ and ______10.1______ ounces of cereal.What percentage of Jiffy Corn Muffin Mix boxes contain more than 10.2 ounces of cereal? Show your work!Below 9.8 and above 10.2 account for 5%, so above 10.2 represents 5% divided by 2 = 2.5%What is the probability that a randomly selected Jiffy Corn Muffin Mix box contains less than 10.1 ounces of cereal? Show your work!68% + (32% divided by 2) = 84% = 0.84The outlier of a data set causes the _______mean_________ (mean/median) to be greater than the _______median___________ (mean/median) when the outlier is in the upper part of the data set.An outlier has a greater effect on the ____________standard deviation___________________ (standard deviation/interquartile range).The number of boots that 25 students had in their homes in Florida were recorded below:0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 9What value would you predict to be an outlier? Why?9, because it is farther away/greater than the rest of the data valuesHow does the outlier affect the mean?It increases the meanHow does the outlier affect the median?It does not affect the medianWhich measure of center would best describe the data—the mean or the median? Why?The median because it is not affected by the outlierHow does the outlier affect the standard deviation?It increases the standard deviation because it makes the data values more spread out.How does the outlier affect the interquartile range?It does not affect the IQR.Which measure of spread would best describe the data—the standard deviation or the interquartile range? Why?The IQR because it is not affected ................
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