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Question

Suppose these show number of hours each student in a class slept last night: 8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6 What is the mean of these numbers (rounded to the nearest tenth)? What is the median? Mean: 6.9 hours; Median 7 hours Mean: 6.9 hours; Median 7.5 hours Mean: 7 hours; Median 6.9 hours Mean: 7.2 hours; Median 7 hours

Answer

The mean is 6.9 hours and the median is 7 hours. Step-by-step explanation: Given: Suppose these show number of hours each student in a class slept last night: 8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6. We need to find the mean and median of these numbers (rounded to the nearest tenth). Solution: To find the mean, we need to use the formula: M = sum of the terms/number of terms. First, we add up all the numbers: 8 + 4 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6 = 83. There are 12 numbers, so we divide the sum by 12: 83/12 = 6.9166666666667. Rounding to the nearest tenth gives us the mean of 6.9 hours. To find the median, we need to put the numbers in order: 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10. Since there are 12 numbers, the median is the average of the two middle numbers, which are 7 and 7. So, (7+7)/2 = 7, giving us the median of 7 hours. Therefore, the answer is: Mean: 6.9 hours; Median 7 hours.