Arean Asgariani
GE 219
5. The mode is $1,000 to $2,999. The median is $10,000 to $12,499. The formula for the
interquartile range is Q3-Q1. First find the value of Q1:
One way to locate the value at the first quartile is by locating the value associated with the
25
th
percentile, value 3 ($3,000 to $3,999). You can also locate the case at Q, with the
following formula (N+1)(.25)=(119+1)(.25)=(120)(.25)=30. Then locate the value at Q, that is
associated with case 30, value 3 ($3,000 to $3,999).
Next locate the value at Q3 using the 75
th
percentile. The value at the 75
th
percentile is
value 14, $22,500 to $24,999. You can also locate the case at Q3 with the following formula
(N+1)(.75)=(119+1)(.75)=(120)(.75)=90. Then locate the value at Q3 that is associated with
case 90, value 14 ($22,500 to $24,999).
Find the interquartile range: Q3 – Q1= 14-3= 11. In relation to the range (20 – 1 =19), the
distribution is somewhat heterogeneous. Half of the respondents ages 18-25 earn from
$3,000 to $24,999 a year. One quarter earn $3,999 a year or less, and one quarter earn