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Answer :
Based on the information given, we can conclude that xx is equal to 90, which is the value that satisfies the conditions for the mean, median, and mode of the data set.
The mean, median, and mode of a data set represent different measures of central tendency. In this question, we are given a set of 7 data values: 60, 100, x, 40, 50, 200, and 90. The question states that the mean, median, and mode of these data values are all equal to xx. We need to find the value of xx.
Let's break down the steps to find the value of xx:
1. Mean: The mean is calculated by adding up all the data values and then dividing the sum by the total number of values. In this case, we can set up the equation:
(60 + 100 + x + 40 + 50 + 200 + 90) / 7 = xx
2. Median: The median is the middle value when the data set is arranged in ascending or descending order. In this case, since we have an odd number of data values, the median will be the value in the middle position when the data set is ordered. To find xx, we need to order the data set:
40, 50, 60, 90, 100, x, 200
Since the median is xx, we know that x is the middle value, which is 90.
3. Mode: The mode is the value that appears most frequently in the data set. In this case, the mode is also xx. To find xx, we need to determine which value appears most frequently in the data set:
40, 50, 60, 90, 100, x, 200
Since there is no value that appears more than once, the mode cannot be determined from the given data.
Therefore, based on the information given, we can conclude that xx is equal to 90, which is the value that satisfies the conditions for the mean, median, and mode of the data set.
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