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ScanSolve AI Answer
Step 1: List the raw data. The production data for 40 bags of maize is: 11, 36, 14, 60, 71, 48, 52, 21, 28, 17, 45, 57, 45, 37, 65, 66, 35, 56, 43, 47, 25, 42, 59, 62, 79, 21, 52, 65, 48, 34, 22, 34, 51, 18, 49, 43, 54, 64, 27, 38 Step 2: Arrange the data in ascending order. 11, 14, 17, 18, 21, 21, 22, 25, 27, 28, 34, 34, 35, 36, 37, 38, 42, 43, 43, 45, 45, 47, 48, 48, 49, 51, 52, 52, 54, 56, 57, 59, 60, 62, 64, 65, 65, 66, 71, 79 Step 3: Calculate the Mean. The sum of all data points ( x) is 1711. The number of data points (n) is 40. Mean = ( x)/(n) Mean = (1711)/(40) Mean = 42.775 The Mean is 42.775 bags. Step 4: Calculate the Median. Since there are 40 data points (an even number), the median is the average of the two middle values. These are the 20th and 21st values in the sorted list. From the sorted data: The 20th value is 45. The 21st value is 45. Median = 20th value + 21st value2 Median = (45 + 45)/(2) Median = (90)/(2) Median = 45 The Median is 45 bags. Step 5: Calculate the Mode. The mode is the value(s) that appear most frequently in the data set. By counting the occurrences of each number in the sorted list, we find that the following numbers appear twice, which is the highest frequency: 21, 34, 43, 45, 48, 52, 65. The Mode is 21, 34, 43, 45, 48, 52, 65 bags. 3 done, 2 left today. You're making progress.