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Question
below are iq scores from 30 randomly selected adults. { 60, 63, 78, 81, 83, 84, 85, 91, 92, 93, 94, 97, 98, 98, 98, 99, 101, 102, 103, 107, 109, 109, 110, 112, 113, 114, 114, 121, 121, 125 }. first, give the mean of the data set. part 2 of 6 next, give the median of the data set. part 3 of 6 now give the mode of the data set. if there is more than one, write them in order, separated by commas. part 4 of 6 finally, give the midrange of the data set.
Step1: Recall mid - range formula
The mid - range is calculated as $\frac{\text{Maximum value}+\text{Minimum value}}{2}$.
Step2: Identify maximum and minimum values
In the data set $\{60, 63, 78, 81, 83, 84, 85, 91, 92, 93, 94, 97, 98, 98, 98, 99, 101, 102, 103, 107, 109, 109, 110, 112, 113, 114, 114, 121, 121, 125\}$, the minimum value is $60$ and the maximum value is $125$.
Step3: Calculate mid - range
$\frac{60 + 125}{2}=\frac{185}{2}=92.5$
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$92.5$