Respuesta :
Answer:
mean = 14.5 ; median = 15.5 ; interquartile = 7.5
Step-by-step explanation:
Given : 17,23,8,5,9,16,22,11,13,15,17,18.
To find : Find the mean median and interquartile for the data set .
Solution : We have given 17,23,8,5,9,16,22,11,13,15,17,18.
First we arrange in ascending order 5 , 8 ,9 ,11, 13, 15, 16 , 17, 17,18, 22, 23,
Mean : [tex]\frac{Sum\ of\ all\ number}{total\ number}[/tex].
Mean : [tex]\frac{5+8+9 +11 +13+ 15+16+17+17+18+ 22+23,}{12}[/tex].
Mean : 14.5
Median : Average of middle two numbers
Median : [tex]\frac{15 + 16}{2}[/tex].
Median : [tex]\frac{31}{2}[/tex].
Median : 15 .5
Interquartile : median of lower half - median of upper half.
Interquartile : [tex]\frac{17 +18}{2}[/tex] - [tex]\frac{9 + 11}{2}[/tex].
Interquartile : 17.5 - 10= 7.5
Therefore, mean = 14.5 ; median = 15.5 ; interquartile = 7.5