use the appropriate formulas and methods to answer the following questions. do not use technology as an aid…

use the appropriate formulas and methods to answer the following questions. do not use technology as an aid, unless otherwise stated.\npart 1 of 6\nhint 1 hint 2 hint 3 hint 4 hint 5\nbelow are iq scores from 30 randomly selected adults.\n{ 83, 85, 88, 89, 91, 92, 93, 95, 96, 96, 97, 100, 100, 101, 102, 103, 104, 106, 106, 109, 110, 110, 111, 111, 112, 120, 122, 122, 122, 130 }.\nfirst, give the mean of the data set.\n104.2\npart 2 of 6\nnext, give the median of the data set.\n102\npart 3 of 6\nnow give the mode of the data set. if there is more than one, write them in order, separated by commas.\n122\npart 4 of 6\nfinally, give the midrange of the data set.

use the appropriate formulas and methods to answer the following questions. do not use technology as an aid, unless otherwise stated.\npart 1 of 6\nhint 1 hint 2 hint 3 hint 4 hint 5\nbelow are iq scores from 30 randomly selected adults.\n{ 83, 85, 88, 89, 91, 92, 93, 95, 96, 96, 97, 100, 100, 101, 102, 103, 104, 106, 106, 109, 110, 110, 111, 111, 112, 120, 122, 122, 122, 130 }.\nfirst, give the mean of the data set.\n104.2\npart 2 of 6\nnext, give the median of the data set.\n102\npart 3 of 6\nnow give the mode of the data set. if there is more than one, write them in order, separated by commas.\n122\npart 4 of 6\nfinally, give the midrange of the data set.

Answer

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 30$ and $x_{i}$ are the data - points. $\sum_{i=1}^{30}x_{i}=83 + 85+88 + 89+91+92+93+95+96+96+97+100+100+101+102+103+104+106+106+109+110+110+111+111+112+120+122+122+122+130=3126$. $\bar{x}=\frac{3126}{30}=104.2$.

Step2: Calculate the median

Since $n = 30$ (an even number), the median is the average of the $\frac{n}{2}$ - th and $(\frac{n}{2}+1)$ - th ordered data - points. The 15 - th value is 102 and the 16 - th value is 103. Median$=\frac{102 + 103}{2}=102.5$.

Step3: Calculate the mid - range

The mid - range is calculated as $\frac{\text{Minimum value}+\text{Maximum value}}{2}$. The minimum value is 83 and the maximum value is 130. Mid - range$=\frac{83+130}{2}=\frac{213}{2}=106.5$.

Answer:

Part 1 of 6: 104.2 Part 2 of 6: 102.5 Part 3 of 6: 122 Part 4 of 6: 106.5