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Question
use the appropriate formulas and methods to answer the following questions. do not use technology as an aid, unless otherwise stated. part 1 of 6 hint 1 hint 2 hint 3 hint 4 hint 5 below are iq scores from 30 randomly selected adults. { 78, 82, 88, 88, 89, 93, 97, 98, 98, 98, 100, 101, 101, 102, 103, 104, 106, 106, 107, 109, 110, 115, 116, 118, 118, 119, 119, 122, 128, 130 }. first, give the mean of the data set. 104 × part 2 of 6 next, give the median of the data set. 103.5 ✓ 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. 98 ✓ part 4 of 6 finally, give the midrange of the data set.
Step1: Recall mid - range formula
The mid - range is calculated as $\frac{\text{Minimum value}+\text{Maximum value}}{2}$.
Step2: Identify minimum and maximum values
In the data set $\{78, 82, 88, 88, 89, 93, 97, 98, 98, 98, 100, 101, 101, 102, 103, 104, 106, 106, 107, 109, 110, 115, 116, 118, 118, 119, 119, 122, 128, 130\}$, the minimum value is $78$ and the maximum value is $130$.
Step3: Calculate mid - range
$\frac{78 + 130}{2}=\frac{208}{2}=104$.
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$104$