Answer:
a) mean = 147
b) median = 147
c) mode = 152
d) range = 65
Explanation:
firsly let’s arrange the numbers of the set in ascending order:
117 , 119 , 138 , 142 , 152 , 152 , 174 , 182
a)
![Mean = (117+119+138+142+152+152+174+182)/(8) =(1176)/(8) =147](https://img.qammunity.org/2023/formulas/mathematics/high-school/3pztrn84uwjtze86ltxefqbyhyw7txtnv3.png)
b) the median is the average of the two middle numbers :
![117,119,138, \frac{142,152}{} , 152,174,182](https://img.qammunity.org/2023/formulas/mathematics/high-school/9qz86uauypsss5i5an5uv7bnibhkpa0dnn.png)
![median=(142+152)/(2)= 147](https://img.qammunity.org/2023/formulas/mathematics/high-school/m7ypudt2u8w52aip6p9a1apw5htmdtpeti.png)
c) the modal height is 152 because 152 is the value that appears most frequently (2 times) in our set
d) the range of a set is the difference between the highest and lowest numbers :
Then
the range = 182-117 = 65