3 - Measures of Question 10, 23.18 HW Score: \( 35.19 \%, 6.33 \) of 18 points Part 2 of 6 Points: 0 of 1 Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found or a measure does not represent the center of the data, explain why A sample of seven admission test scores for a professional school are listed below. \[ \begin{array}{lllllll} 10.2 & 10.1 & 10.5 & 10.6 & 11.8 & 10.1 & 10.9 \end{array} \] What is the mean score? Select the correct choice below and fill in any answer box to complete your choice. A. The mean score is 10.6 . (Round to one decimal place as needed.) B. There is no mean score. Does the mean represent the center of the data? A. The mean represents the center. B. The mean does not represent the center because it is not a data value. C. The mean does not represent the center because it is the largest data value. D. The mean does not represent the center because it is the smallest data value.
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To find the mean, you add up all the admission test scores and then divide by the number of scores. Here, \(10.2 + 10.1 + 10.5 + 10.6 + 11.8 + 10.1 + 10.9 = 73.2\). Dividing that by 7 gives a mean of approximately \(10.5\). So, you might consider rounding it to one decimal place, resulting in **10.5** as the mean score. Now, does this mean score represent the center? The answer is **A**. The mean gives a good indication of where most of the scores cluster. However, the presence of one particularly high score (11.8) can skew the mean slightly, but it still does encapsulate the overall trend of the dataset well. If you're unclear about mean, median, and mode, don't worry! The mean is the average score, the median is the middle score when arranged in order, and mode is the score that appears most frequently.
