Question

whs mathematics of personal finance 1
income data
calculating measures of center
raelyn’s weekly wages
dot plot: wages ($) axis with values 216, 330, 424, 549, 562; dots: 216 (1), 330 (2), 424 (1), 549 (1), 562 (1)
raelyn is working as a lifeguard at the local pool during the summer. her weekly wages are $424, $562, $330, $216, $330, and $549.
what is the mean of raelyn’s wages?
options: 330, 401.83, 377, 548.33
what is the median of raelyn’s wages?
what is the mode of raelyn’s wages?

Explanation:

1. Mean Calculation

Step1: List the wages

The wages are $216, $330, $330, $424, $549, $562.

Step2: Sum the wages

Sum = \( 216 + 330 + 330 + 424 + 549 + 562 \)
\( = 216+(330 + 330)+424+(549 + 562) \)
\( = 216 + 660 + 424 + 1111 \)
\( = (216 + 660)+(424 + 1111) \)
\( = 876 + 1535 \)
\( = 2411 \)

Step3: Calculate the mean

Mean = \( \frac{\text{Sum}}{\text{Number of data points}}=\frac{2411}{6}\approx401.83 \)

2. Median Calculation

Step1: Order the data

Ordered wages: $216, $330, $330, $424, $549, $562.

Step2: Find the middle values

Since there are 6 data points (even), the median is the average of the 3rd and 4th values.
3rd value = $330, 4th value = $424.

Step3: Calculate the median

Median = \( \frac{330 + 424}{2}=\frac{754}{2}=377 \)

3. Mode Calculation

Step1: Identify the most frequent value

In the data set $216, $330, $330, $424, $549, $562, the value $330 appears twice, and others appear once.

Step2: Determine the mode

The mode is the value with the highest frequency, so mode = $330.

Answer:

s:

• Mean: \( \approx 401.83 \)
• Median: \( 377 \)
• Mode: \( 330 \)