Answer + Step-by-step explanation:
58, 60, 65, 67, 68, 72, 79, 79, 80, 81, 82, 86, 86, 87
The data set is in order then :
the minimum = 58
The maximum = 87
Determining the median :
first ,we notice that the data set has an even number (14) of numbers
Then
The median is the average of the two central values of the data set :
the two central values are the 7th and 8th numbers:
[tex]\text{median} =\frac{79+79}{2} =79[/tex]
Determining the lower quartile :
The lower quartile is the median of the set :
58, 60, 65, 67 , 68, 72, 79
this set has an odd number (7) of values
Then
The central value is 67
Therefore
The lower quartile is 67
Determining the upper quartile :
The upper quartile is the median of the set :
79, 80, 81, 82 , 86, 86, 87
this set has an odd number (7) of values
Then
The central value is the 4th number which is 82
Therefore
The upper quartile is 82
Interquartile range :
82 - 67 = 15
