Question

calculating measures of center
company salaries
a histogram of employee salaries at a small business is given. what is the median salary range?
$35,000 - $40,000
$40,000 - $50,000
$30,000 - $35,000
$50,000 - $55,000

Explanation:

Step1: Calculate total number of employees

$2 + 2+3 + 2+2=11$

Step2: Find position of median

Since $n = 11$ (odd), median is at the $\frac{n + 1}{2}=\frac{11+ 1}{2}=6$ - th position when values are arranged in order.

Step3: Determine median - salary range

Counting the frequencies from the left - hand side:
The first bar ($30000 - 35000$) has a frequency of 2.
The second bar ($35000 - 40000$) has a frequency of 2.
The third bar ($40000 - 50000$) has a frequency of 3.
Adding the frequencies: $2+2 = 4$ (first two bars), and $4 + 3=7$ (first three bars). The 6 - th value falls within the $40000 - 50000$ range.

Answer:

$40,000 - $50,000