Respuesta :
Range of a Data Set :
The range of a set of data is the difference between the highest and lowest values in the set
MEAN :
The mean is the mathematical average of a set of two or more numbers
Set A: 2, 10, 8, 19, 23
Arrange the data of set A in ascending order;
Set A : 2, 8, 10, 19, 23
For range; the highest term is 23, lowers term is 2
Range = highest - lowest
Range = 23 - 2
Range = 21
for Mean; the sum of all entries divided by the total number of entries in data set.
In data A, total number of entries are : 5
[tex]\begin{gathered} \text{ Mean = }\frac{2+8+10+19+23}{5} \\ \text{Mean}=\frac{62}{5} \\ \text{Mean}=12.4 \end{gathered}[/tex]Thus, mean of set A is 12.4
Now, for set B;
Set B : 14 16 15 17 16
Arrange the elements of set B in the ascending order;
Set B : 14, 15, 16, 16, 17
For range; the highest term is 17, lowers term is 14
Range = highest - lowest
Range = 17-14
Range = 3
Thus, range of set B is 3
for mean of set B;
The sum of all entries divided by the total number of entries in data set.
In data B, total number of entries are : 5
[tex]\begin{gathered} \text{ Mean = }\frac{14+16+15+17+16}{5} \\ \text{Mean}=\frac{78}{5} \\ \text{Mean}=15.6 \end{gathered}[/tex]Thus, the mean for set B is 15.6
Answer : The mean of set A is 12.4 and range is 21
The mean of set B is 15.6 and range is 3
