Question

1. 5 different moisturizing face masks from ulta cost: $8.00, $4.75, $5.00, $6.50, $4.25

find the mean:
find the median:
find the iqr:

Explanation:

Step1: Sort the cost values

Sorted list: $4.25, 4.75, 5.00, 6.50, 8.00$

Step2: Calculate the mean

Sum values, divide by count.
$\text{Mean} = \frac{4.25 + 4.75 + 5.00 + 6.50 + 8.00}{5} = \frac{28.5}{5}$

Step3: Find the median

Middle value of sorted list.
Median = 5.00

Step4: Calculate Q1 and Q3

Q1 = median of lower half ($4.25, 4.75$): $\frac{4.25+4.75}{2}=4.50$
Q3 = median of upper half ($6.50, 8.00$): $\frac{6.50+8.00}{2}=7.25$

Step5: Compute IQR

Subtract Q1 from Q3.
$\text{IQR} = 7.25 - 4.50$

Answer:

Mean: $\$5.70$
Median: $\$5.00$
IQR: $\$2.75$