a Put the data in numerical order before finding the third quartile.
B
b Put the data in numerical order before finding the third quartile.
C
c Put the data in numerical order before finding the third quartile.
D
d Put the data in numerical order before finding the third quartile.
E
e Put the data in numerical order before finding the third quartile.
F
f Put the data in numerical order before finding the third quartile.
A
a Yes.
B
b Yes.
C
c Yes.
D
d No.
E
e No.
F
f Yes.
Practice makes perfect
a Before we find the third quartile, let's put the data set into numerical order.
79, 80, 80, 90, 90, 91, 91, 99
To find the third quartile, we need to find the median of the upper half of the data set.
79, 80, 80, 90, | 90, 91, 91, 99
Because there is an even number of values, we find the median by taking the average of the two middle values.
91+91/2 ⇒ 91
The third quartile, 91, is the same value as a member of the data set.
b Before we find the third quartile, let's put the data set into numerical order.
81, 87, 91, 95, 96, 96, 98
To find the third quartile, we need to find the median of the upper half of the data set.
81, 87, 91, | 95, | 96, 96, 98
The third quartile, 96, is the same value as a member of the data set.
c Before we find the third quartile, let's put the data set into numerical order.
84, 85, 88, 88, 89, 92, 93, 93, 93, 95
To find the third quartile, we need to find the median of the upper half of the data set.
84, 85, 88, 88, 89, | 92, 93, 93, 93, 95
The third quartile, 93, is the same value as a member of the data set.
d Before we find the third quartile, let's put the data set into numerical order.
82, 82, 84, 88, 91, 93, 94, 96, 97
To find the third quartile, we need to find the median of the upper half of the data set.
82, 82, 84, 88, | 91, | 93, 94, 96, 97
Because there is an even number of values, we find the median by taking the average of the two middle values.
94+96/2 ⇒ 95
The third quartile, 95, is not the same value as a member of the data set.
e Before we find the third quartile, let's put the data set into numerical order.
80, 85, 94, 95, 97
To find the third quartile, we need to find the median of the upper half of the data set.
80, 85, | 94, | 95, 97
Because there is an even number of values, we find the median by taking the average of the two middle values.
95+97/2 ⇒ 96
The third quartile, 96, is not the same value as a member of the data set.
f Before we find the third quartile, let's put the data set into numerical order.
81, 84, 85, 85, 89, 89
To find the third quartile, we need to find the median of the upper half of the data set.
81, 84, 85, | 85, 89, 89
The third quartile, 89, is the same value as a member of the data set.
