Asked by Ikhlas Salih on Jul 05, 2024
Verified
The weekly salaries,in dollars,of 16 government workers are listed below.Find the upper quartile (Q3) by hand. $492 $791 $545 $840
$506 $734 $620 $815
$676 $874 $450 $561
$713 $473 $654 $527
A) $734.00
B) $776.75
C) $791.00
D) $654.00
E) $762.50
Upper Quartile
The value below which 75% of the observations in a dataset fall, also known as the third quartile, representing the midway point of the upper half of a data set.
Government Workers
Employees who work for local, state, or federal governments, performing a wide range of public service duties.
- Determine quartiles and apply quartile calculations to real-world data sets.
Verified Answer
CB
Charisse BlackwellJul 10, 2024
Final Answer :
E
Explanation :
To find the upper quartile (Q3), first, we need to arrange the salaries in ascending order: $450, $473, $492, $506, $527, $545, $561, $620, $654, $676, $713, $734, $791, $815, $840, $874. Since there are 16 data points, the upper quartile (Q3) is the average of the 12th and 13th values in the ordered list. The 12th value is $734 and the 13th value is $791. Therefore, Q3 = ($734 + $791) / 2 = $762.50.
Learning Objectives
- Determine quartiles and apply quartile calculations to real-world data sets.
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