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To find the mean, mode, and median of the given data set, let's first arrange the runs scored in ascending order:
6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120
Now, let's calculate the mean, mode, and median:
Mean: The mean is the average of all the values in the data set.
Mean = (6 + 8 + 10 + 10 + 15 + 15 + 15 + 50 + 80 + 100 + 120) / 11 Mean = 451 / 11 Mean ≈ 41
Mode: The mode is the value that appears most frequently in the data set.
In this case, the mode is 15 because it appears three times, which is more frequently than any other score.
Median: The median is the middle value of a data set when it's arranged in ascending order.
Since there are 11 scores, the median will be the 6th score.
Median = 15
So, the mean is approximately 41, the mode is 15, and the median is also 15.
Therefore, in this case, the mode and median are the same, but the mean is different.
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