Question

in the data set below, what are the lower quartile, the median, and the up
29 29 45 51 56 62 63 63 73 73 83
lower quartile =
median =
upper quartile =

Explanation:

Step1: Find the median

The data set has 11 numbers. The median is the 6th number when ordered.
$29, 29, 45, 51, 56, 62, 63, 63, 73, 73, 83$
Median $= 62$

Step2: Find the lower quartile

The lower half of the data is $29, 29, 45, 51, 56$. The median of this lower half (lower quartile) is the 3rd number.
Lower quartile $= 45$

Step3: Find the upper quartile

The upper half of the data is $63, 63, 73, 73, 83$. The median of this upper half (upper quartile) is the 3rd number.
Upper quartile $= 73$

Answer:

lower quartile $= 45$
median $= 62$
upper quartile $= 73$