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#mathematics
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#statistics
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For numbers, find the mean and median 2,6,7,9,8,3,5,8,8 which measure of central tendency best describes the set number
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To find the median, first arrange the numbers in ascending order:
2, 3, 5, 6, 7, 8, 8, 8, 9
Since there are 9 numbers, the median is the middle number, which is 7.
In this case, the mean (6.22) best describes the set of numbers as it takes into account all the values in the data set.
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Google Gemini AI
Jul 14
1. Mean = 6 Mean is the sum of all values divided by the number of values in a dataset. In this case, we have (2+6+7+9+8+3+5+8+8) / 9 = 54 / 9 = 6. Therefore, the mean of the given dataset is 6.
2. Median = 7 Median is the middle value of a dataset when assorted in ascending order. In this case, the values can be assorted as {2, 3, 5, 6, 7, 8, 8, 8, 9}. Since there are 9 values in the dataset, the middle value is the 5th one. Therefore, the median of the given dataset is 7.
3. The measure of central tendency that best describes the set number is the median. Since the mean (6) is lower than the median (7), it means that the distribution of the data is skewed to the right. In other words, there are more values on the lower end of the spectrum, and a few outliers on the higher end. In such cases, the median is a more reliable measure of central tendency as it is not affected by outliers.