3. What is the mean? 25.07692 (which I rounded off to 25.08) 4. What is the mode? This distribution is bimodal; there are two scores that are most frequently occurring, 19 and 27. 5. What is the median? are 13 scores. The median is the score in the physical center of the distribution when the scores are arranged from highest to lowest or vice versa so the median (which is highlighted in blue in the table above) is 26. 6. What is the range? The range is the highest score minus the lowest score so this distribution has a range of 27 points (41 14 = 27). – 7. What is the standard deviation? 7.64 points 8. Here’s my representation of the distribution... X X X X X X X X X X X X X ... 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 ... Study B 9. Here are the commands I used to enter the data and provide the information needed to R answer questions 9 through 14. Enter the data. data = c (88, 87, 54, 97, 34, 78, 56, 99, 87, 73, 74, 69, 85, 87, 86, 87) Use the summary summary (data) command to calculate the mean (blue highlighting) Here’s the output of that command: and identify the median Min. 1st Qu. Median Mean 3rd Qu. Max. (green highlighting). (The 34.00 72.00 85.50 77.56 87.00 99.00 minimum and maximum scores are highlighted in yellow.) Use the subset (table) subset (table (data), commands to determine table(data)==max(table(data))) the mode. Here’s the output—it means that the most frequent score is 87, and that there are 4 scores of 87. 87
3. What is the mean? 25.07692 (which I rounded off to 25.08) 4. What is the mode? This distribution is bimodal; there are two scores that are most frequently occurring, 19 and 27. 5. What is the median? are 13 scores. The median is the score in the physical center of the distribution when the scores are arranged from highest to lowest or vice versa so the median (which is highlighted in blue in the table above) is 26. 6. What is the range? The range is the highest score minus the lowest score so this distribution has a range of 27 points (41 – 14 = 27). 7. What is the standard deviation? 7.64 points 8. Here’s my representation of the distribution... X X X X X X X X X X X X X ... 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 ... Study B 9. Here are the R commands I used to enter the data and provide the information needed to answer questions 9 through 14. Enter the data. data = c (88, 87, 54, 97, 34, 78, 56, 99, 87, 73, 74, 69, 85, 87, 86, 87) Use the summary command to calculate the mean (blue highlighting) and identify the median (green highlighting). (The minimum and maximum scores are highlighted in yellow.) summary (data) Here’s the output of that command: Min. 1st Qu. Median Mean 3rd Qu. Max. 34.00 72.00 85.50 77.56 87.00 99.00 Use the subset (table) commands to determine the mode. subset (table (data), table(data)==max(table(data))) Here’s the output—it means that the most frequent score is 87, and that there are 4 scores of 87. 87
Chapter%20Two%20Practice%20Problems%20Key.docx