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6th Grade Statistical Variability Chapter Questions1. How does data help us make decisions?2. How can data be used to make predictions?Chapter ProblemsMeasures of Center ClassworkFind the mean, median, and mode for the following data sets.5.8, 2.9, 6.7, 1.6, 2.9, 4.717, 16, 18, 15, 27, 3, 10, 5, 5, 6, 6149, 124, 116, 118, 109, 108, 114, 124, 10922.3, 22.4, 23.3, 24.5, 22.518.99, 17.99, 19.99, 17.99, 17.99, 17.00, 10.99750, 850, 700, 650, 45048, 50, 60, 51, 56, 51, 54, 61, 52, 52HomeworkFind the mean, median, and mode for the following data sets.92, 86, 90, 72, 95, 100, 90, 500, 0.3, 0, 0.1, 0, 0.5, 0.2, 0.325, 85, 40, 45, 95, 75, 55118, 116, 130, 106, 116, 146, 143, 129, 1210.95, 1.09, 0.99, 1.25, 0.99, 1.99456, 398, 655, 508, 1,186, 62558, 51, 33, 33, 6, 25, 2514, 15, 14, 16, 17, 14, 13, 15, 17, 14 Central Tendency Application ProblemsClassworkJordan scored 85, 90, 72, 88, and 92 on his last 5 science tests. What score does he need in order to have a mean score of 85 in his class?Mary and her family share a family data plan for their cell phones. This month her mom used 450, her father used 380, and her little sister used 230 minutes. They want their average number of minutes to be 375 minutes. How many minutes should Mary use?Thomas’s bowling average needs to be at least a 250 in order to make his school’s team. In his last 4 games, he bowled a 243, 271, 218, and 252. What does he need to bowl in his last game in order to make the team?Find the mean, median, and mode of the data set: 59, 85, 61, 88, 95, 75, 55. Identify the values that remain the same if “75” is added to the set.Find the mean, median and mode of the data set: 19, 18, 21, 18, 18, 14. Identify the values that remain the same if “18” is added to the set.Find the mean, median and mode of the data set: 3, 8, 3, 5, 3, 6, 4, 1, 3. Identify the values that remain the same if “2” is added to the set.HomeworkTonya bought gifts for her family that cost $25, $14, $33, and $19. She has to buy one more gift and wants her mean cost to be $25. What should she spend on the last gift?Brianna scored 93, 87, 98, 81, 79, and 95 on her last 6 social studies tests. What score does she need in order to have a mean score of 90?Jake is training for the 200-meter dash event at the preliminary competition. During his last 4 attempts at practice, he ran it in 22.3 s, 22.4 s, 23.3 s, and 24.5 s. He needs a mean time of 23 seconds in order to qualify for finals. What time does he need for his final attempt?Find the mean, median, and mode of the data set: 51, 43, 37, 39, 6, 30, 25. Identify the values that remain the same if “33” is added to the set.Find the mean, median, and mode of the data set: 2, 3, 1, 3, 1, 6, 4, 4, 3. Identify the values that remain the same if “5” is added to the set.Find the mean, median, and mode of the data set: 20, 21, 21, 18, 22, 20, 25. Identify the values that remain the same if “23” is added to the set.Measures of Variation – Minimum/Maximum, RangeClassworkFind the minimum, maximum, and range of each of the following data sets.30, 31, 28, 18, 30, 4, 120, 21, 21, 18, 22, 20, 25204, 138, 177, 218, 195, 249, 155, 10872, 95, 80, 80, 87, 80, 81, 62, 83, 87, 92, 64, 860.95, 1.09, 0.99, 1.25, 0.99, 1.99456, 398, 655, 508, 1,186, 625HomeworkFind the minimum, maximum, and range of each of the following data sets.17, 16, 18, 15, 25.8, 2.9, 6.5, 1.6, 2.9, 4.748, 50, 60, 51, 56, 51, 54, 61, 52, 52149, 124, 116, 118, 109, 108, 114, 124, 10961, 52, 40, 54, 70, 34, 66, 38, 67, 75, 56, 7110.5, 11.6, 9.8, 7.3, 5.6, 12.1, 8.2, 5.7Measures of Variation – QuartilesClassworkFind the lower quartile (Q1), median (Q2), upper quartile (Q3) and the interquartile range (IQR) of each of the following data sets.9, 17, 11, 16, 18, 15, 27, 3, 10, 5, 5, 6, 6, 8, 4220, 340, 130, 180, 230, 340, 10048, 50, 60, 51, 56, 51, 54, 61, 52, 52149, 124, 116, 118, 109, 108, 114, 124, 10914, 3, 7, 22, 18, 25, 12, 3815, 10, 12, 16, 18, 5, 3, 46, 35, 21, 26HomeworkFind the lower quartile (Q1), median (Q2), upper quartile (Q3) and the interquartile range (IQR) of each of the following data sets.52, 41, 33, 39, 6, 30, 2525, 85, 35, 45, 95, 75, 5520, 10, 50, 60, 40, 30, 90, 70118, 112, 130, 106, 116, 146, 143, 129, 134150, 132, 116, 118, 109, 108, 114, 12464, 53, 51, 90, 76, 68, 92, 81, 62, 989, 10, 12, 9, 18, 12, 13, 10, 5, 8, 16, 11Measures of Variation – OutliersClassworkWhich of the following data sets have outlier(s)? Explain how you found your answer.1, 5, 7, 9, 10, 11, 1525, 39, 49, 53, 56, 6018, 19, 20, 24, 30, 6070, 74, 76, 79, 82, 836, 27, 30, 33, 39, 41, 52HomeworkWhich of the following sets of data have outlier(s)? Explain how you found your answer.90, 92, 93, 94, 97, 10048, 50, 51, 51, 54, 56, 654, 20, 27, 28, 33, 34, 3764, 67, 68, 69, 73, 75, 7918, 33, 38, 39, 42, 43, 46Measures of Variation – Mean Absolute DeviationClassworkFind the mean absolute deviation for each of the following data sets. Round to the nearest hundredth as necessary.5, 8, 2, 1, 4, 6, 9111, 125, 101, 94, 1367, 10, 7, 10, 6, 7, 233, 14, 17, 21, 8, 30, 29, 1520, 10, 50, 60, 40, 30, 90, 70150, 131, 116, 118, 109, 108, 114, 12454, 50, 62, 51, 63, 70, 58, 60, 60, 7019, 21, 24, 18, 20, 20, 19, 17, 20, 23Homework15, 10, 24, 25, 27, 4011, 10, 12, 9, 18, 124, 8, 46, 32, 25, 21, 115, 6, 11, 14, 12, 8, 16, 18220, 340, 120, 180, 230, 340, 100, 7025, 85, 35, 45, 95, 75, 55, 3513, 22, 27, 16, 36, 7, 27, 33, 36, 366, 7, 2, 9, 6, 0, 20, 10, 16, 18Chapter Review Multiple Choice Choose the correct answer for each question. No partial credit will be given.Consider the data set: 78, 81, 100, 69, 97, 81, 86 Select the measure of central tendency that has the greatest value.a. Median b. Mean c. Mode Consider the data set: 55, 79, 90, 81, 90, 70, 65 Select the statement that is falsea. Mode: 90; Median: 79b. Median: 79; Range: 45c. Mean: 75.7; Range: 35d. Mean: 75.7; Median: 79Sam has the following test grades: 85, 98, 79 What must Sam score on the one remaining test if he wants his test average to be an 88? a. 87 b. 88 c. 89 d. 90Find the lower quartile (Q1), median (Q2), and upper quartile (Q3) for the given data set. 82, 94, 100, 86, 68, 89, 78, 84 Q1: 78; Q2: 84; Q3: 91.5Q1: 82; Q2: 85; Q3: 91.5Q1: 80; Q2: 85; Q3: 94Q1: 80; Q2: 85; Q3: 91.5Identify the data set that contains at least one outlier.5, 20, 22, 30, 18, 1434, 48, 65, 72, 81, 67, 3745, 31, 32, 51, 55, 53, 482, 5, 8, 10, 1, 12, 9, 13, 13, Find the mean absolute deviation, rounded to the nearest hundredth, for the given data set. 20, 45, 52, 60, 19, 34, 42 a.33.86b. 12.45c. 87.14 d. 12.48Mary paired one word to each measure of central tendency. Identify the most accurate pairing.mean – average; mode – middle; median – oftenmean – often; mode – middle; median – averagemean – average; mode – often; median – middlemean – middle; mode – often; median - averageShort Constructed Response – Write the correct answer for each question. No partial credit ?will be given. Determine the mean, median and mode for the data set. Round your answers to the nearest hundredth if necessary. 86, 88, 89, 78, 56, 80, 65Using the test scores from question #14, determine the score that Sal must obtain on his next test to have a 78 average?Extended Constructed ResponseFind the measures of variability for the data set below. Round to the nearest hundredth if necessary.131, 145, 67, 89, 127, 156, 189a. Find the range.b. Find the interquartile range.c. Find the mean absolute deviation.Answer KeyMean: 4.1Median: 3.8Mode: 2.9Mean: 13.6Median: 16Mode: No modeMean: 6Median: 6Mode: 5 and 6Mean: 119Median: 116Mode: 109 and 124Mean: 23Median: 22.5Mode: No modeMean: 17.28Median: 17.99Mode: 17.99Mean: 680Median: 700Mode: No modeMean: 53.5Median: 52Mode: 51 and 52Mean: 84.375Median: 90Mode: 90Mean: 0.175Median: 0.15Mode: 0Mean: 60Median: 55Mode: No modeMean: 125Median: 121Mode: 116Mean: 1.21Median: 1.04Mode: 0.99Mean: 638Median: 566.5Mode: No modeMean: 33Median: 33Mode: 25 and 33Mean: 14.9Median: 14.5, Mode: 1483440 minutes266MedianMean, Median, and ModeMedian and Mode$349722.5 sMean =33Median = 37Mode = no modeAdd 33 to numbers:Mean = 33, the sameMedian = 35, differentMode = no mode, the sameMedian and ModeMedian & ModeMinimum: 1Maximum: 31, Range: 30Minimum: 18Maximum: 25, Range: 7Minimum: 108Maximum: 249, Range: 141Minimum: 62Maximum: 95, Range: 33Minimum: 0.95Maximum: 1.99, Range: 1.04Minimum: 398Maximum: 1,186, Range: 788Minimum: 2Maximum: 18, Range: 16Minimum: 1.6Maximum: 6.5, Range: 4.9Minimum: 48Maximum: 61, Range: 13Minimum: 108Maximum: 149, Range: 41Minimum: 34Maximum: 75, Range: 41Minimum: 5.6Maximum: 12.1, Range: 6.5Q1: 9Q2: 15Q3: 17IQR: 8Q1: 4.5Q2: 6Q3: 7.5IQR: 3Q1: 130Q2: 220Q3: 340IQR: 210Q1: 51Q2: 52Q3: 56IQR: 5Q1: 109Q2: 116Q3: 124IQR: 15Q1: 9.5Q2: 16Q3: 23.5IQR: 14Q1: 10Q2: 16Q3: 26IQR: 16Q1: 25Q2: 33Q3: 41IQR: 16Q1: 35Q2: 55Q3: 85IQR: 50Q1: 25Q2: 45Q3: 65IQR: 40Q1: 114Q2: 129Q3: 138.5IQR: 24.5Q1: 111.5Q2: 117Q3: 128IQR: 16.5Q1: 62Q2: 72Q3: 90IQR: 28Q1: 9Q2: 10.5Q3: 12.5IQR: 3.5C, EB, E2.2913.681.717.3821.2510.315.241.547.33211.433.757021.568.645.28Unit ReviewBBDDABCMEAN: 77.43, MEDIAN: 80MODE: NO MODE82 A. Range=122B. Interquartile Range=67C. Mean Absolute Deviation=29.8 ................
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