In the histogram below, what will be the relationship between the mean and median of the collected data?The mean will be bigger than the median.The mean will be smaller than the median.The mean and median will be about the same.
Question
In the histogram below, what will be the relationship between the mean and median of the collected data?The mean will be bigger than the median.The mean will be smaller than the median.The mean and median will be about the same.
Solution
Based on the given histogram, we can determine the relationship between the mean and median of the collected data. To do this, we need to understand the concept of mean and median.
The mean is the average of all the data points in a set. It is calculated by summing up all the values and dividing it by the total number of values. The median, on the other hand, is the middle value of a set when it is arranged in ascending or descending order.
Now, let's analyze the options provided:
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The mean will be bigger than the median: This means that the average of the data points will be greater than the middle value. In a histogram, this would suggest that the data is positively skewed, with a longer tail on the right side.
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The mean will be smaller than the median: This implies that the average of the data points will be smaller than the middle value. In a histogram, this would indicate a negatively skewed distribution, with a longer tail on the left side.
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The mean and median will be about the same: This suggests that the average and the middle value of the data points will be close to each other. In a histogram, this would indicate a symmetric distribution, where the data is evenly distributed around the middle value.
Based on the given options, the correct answer is "The mean and median will be about the same." This implies that the average and the middle value of the data points will be close to each other, indicating a symmetric distribution in the histogram.
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