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Savannah’s math quiz grades are 90, 100, 78, 88, 100, and 96. Find the measure of centers (MC) and spread of Savannah’s scores. If Savannah scores an 81 on her next quiz, compute the new measure of centers and spread. Before her latest quiz, she had a bad night and did not get to study, her score was 48.Old MCNew MCLatest MCMeanMedianQ1Q3ModeRangeIQRHow did her measure of centers (MC) and spread change with the addition of the new scores?Is there an outlier?How does outlier change the central tendencies scores?Create a box and whisker plot for each MC. Test ScoresTest Number12345678910Score86847987758489908892Sa’Kayla has been using an online review program to take practice tests for her upcoming EOCTs. Her scores are shown in the table. She takes another test but, since she did not get to finish, it was scored as a 21.Old MCNew MCMeanMedianQ1Q3ModeRangeIQRHow did her central tendencies changed with the addition of the new score?Is there an outlier?How does outlier change the central tendencies scores?Create a box and whisker plot for each MC. Which measure of central tendency is MOST EASILY affected by outliers?Mrs. Barton's class is getting a new student. They want to predict the shoe size of the student. They ask all the girls to record their shoe sizes. Which measure of center should they use to make their prediction? What should be their prediction?Shoe Sizes87898.57.5106.5798.59.51088.5The table gives the low temperatures in Chicago on twelve randomly selected winter days. Which measure of centers and spread has the LOWEST value?Day123456789101112Temperature131522122218182211132021Coach Tittle’s Free-Throw Shooting ContestStudentBrandonDortrionJoshJoeJosephAustinMasonJacobTotal2634424038352034Coach Tittle is holding a free-throw shooting contest for some students in his math class. The students participating in the contest shoot 50 free throws each. The results are shown in the table. Which measure of centers (MC) and spread is the highest?Which measure of centers (MC) and spread is the lowest?Forty-five people were asked about how many miles they walked in one week. The results are shown in the graph. How does the median number of miles walked for boys compare with the median number of miles walked for girls?The table gives the low temperatures in Chicago on eight randomly selected winter days. Which measure of central tendency probably gives the LEAST ACCURATE prediction of a "typical" low temperature on a Chicago winter day?Chicago Lows1725281216551822The summary statistics for all students that took the SAT at Hiram High School are shown. Four sample groups of 10 students are shown. Which sample group has a range that is closest to the range of the population? Which sample group has a mean that is closest to the mean of the population?Which sample group has a median that is closest to the mean of the population?Is the median or mean a more appropriate choice for describing the “centers” of these two distributionsHiram High School SAT ScoresMean: 1582Median: 1518Range: 900Mean Deviation: 145.3Standard Deviation: 233.4Group AGroup BGroup CGroup D1520151016201480163014801700157014802100152014001580180015101800140013001530193013001250143021501700140020001340161014301800158015801390141015301520152013901610Tiante surveys the 13 girls and 13 boys in his class to find out how many pairs of shoes they have in their closets.Pairs of Shoes in ClosetsGirls1012915258614181191315Boys86451015781211954Using the minimum, maximum, quartiles and median, sketch two side by side box plots to compare the shoe size between males and females in this student’s class.How would you describe the difference in shoe size between males and females? Be sure you discuss differences/similarities in shape, center and spread.Why is the mean greater than the median both for males and for females? Explain your reasoning.Is the median or mean a more appropriate choice for describing the “centers” of these two distributions? For this distribution, which is the BEST estimate for the mean, given that the median is shown to be 6.6? If the mean of this distribution is 13.7, which could be the median?The Hornets have played 5 basketball games this season. Their scores are 65, 63, 67, 60, and 65. If they only score 30 points in their next game, What will happen to their MEDIAN score?What will happen to their MEAN score?A Mr. Murray recorded the pulse rates for each of the students in his classes after the students had climbed a set of stairs. He displayed the results, by class, using the box plots shown. Which class had the highest pulse rates after climbing the stairs? Explain your reasoning. Which class had the lowest IQR?Once a day for seven days, Nea recorded the temperature (in °F) of a stream near her home. Which box plot correctly shows Nes’s data?Measure of Centers and Spread?MeanMedianQ1Q3ModeRangeIQRAccording to this distribution, About how many students earned a grade of 30? What are the measure of centers and spread?This histogram shows the frequency distribution of times for 107 consecutive eruptions of the Old Faithful Geyser. The duration of an eruption is the length of time, in minutes, from the beginning of the spewing of water until it stops. What is the BEST description for the distribution? Using the graphs aboveWhat type of correlation does graph A have? Explain your reasoning.What type of correlation does graph B have? Explain your reasoning.What type of correlation does graph C have? Explain your reasoning.What type of correlation does graph D have? Explain your reasoning.Mrs. Chapman was having a coat drive for the ATL shelter. She determined the median number of coats collected per class and the inter-quartile ranges of the number of coats collected per class for the freshman and for the sophomores.The freshman collected a median number of coats per class of 10 and the IQR= 6The sophomores collected a median number of coats per class of 10, and the IQR =4What is the possible range of the third quartile of coats collected for both classes?The summary statistics for all of the workers at a steel factory are shown. Four sample groups were taken from each of the four shifts. For which sample group is the mean deviation greater than that of the population?Steel Factory Workers AgesMean: 42 Median: 38 Range: 52 Mean Deviation: 11.23Shift 1Shift 2Shift 3Shift 418231921251922235650242542494040296745353834291954303370475929403540392230335923 ................
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