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. { 77, 80, 84, 85, 86, 88, 93, 95, 96, 100, 104, 104, 105, 107, 107, 107, 108, 108, 108, 108, 110, 111, 112, 113, 114, 114, 118, 120, 132, 137 }. first, give the mean of the data set. 103.6 part 2 of 6 next, give the median of the data set. 107 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. 108 part 4 of 6 finally, give the midrange of the data set.

Explanation:

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 $\{77, 80, 84, 85, 86, 88, 93, 95, 96, 100, 104, 104, 105, 107, 107, 107, 108, 108, 108, 108, 110, 111, 112, 113, 114, 114, 118, 120, 132, 137\}$, the minimum value is $77$ and the maximum value is $137$.

Step3: Calculate mid - range

$\frac{77 + 137}{2}=\frac{214}{2}=107$

Answer:

$107$