Respuesta :
Answer:
Mean, 14; Median, 13.5; Range, 8; Midrange, 15.
Explanation:
The mean can be calculated as the sum of all the values divided by the total number of values, so the mean is:
[tex]\begin{gathered} \operatorname{mean}=\frac{11+15+19+12+11+16+11+17}{8} \\ \operatorname{mean}=\frac{112}{8} \\ \operatorname{mean}=14 \end{gathered}[/tex]Then, to find the median, we need to organize the numbers from least to greatest, so:
11 11 11 12 15 16 17 19
1st 2nd 3rd 4th 5th 6th 7th 8th
Now, we median will be in the middle of the date, since there are 8 values, the middle is located at position 4.5, so the median is the mean of the number in the 4th position the number in the 5th position, then:
[tex]\text{Median}=\frac{12+15}{2}=13.5[/tex]On the other hand, the range is the difference between the greatest value and the least value, so the range is:
[tex]Range=19-11=8[/tex]Finally, the midrange is the sum of the greatest value and the least value divided by 2, so:
[tex]\text{Midrange}=\frac{19+11}{2}=15[/tex]Therefore, the answer is:
Mean, 14; Median, 13.5; Range, 8; Midrange, 15.
