Question

hurricane damage find the percentile rank for each value in the data set. the data represent the values in billions of dollars of the damage of 6 hurricanes. round to the nearest whole percentile.
1.4, 3.4, 5.3, 8.8, 10.8, 11.6
send data to excel
part: 0 / 7
part 1 of 7
the percentile rank for the value 1.4 is

Explanation:

Step1: Recall percentile rank formula

The formula for percentile rank of a value $x$ is:
$$\text{Percentile Rank} = \frac{\text{Number of values less than } x + 0.5 \times \text{Number of values equal to } x}{\text{Total number of values}} \times 100$$

Step2: Identify values for 1.4

Total values $n=6$; values less than 1.4: 0; values equal to 1.4: 1

Step3: Calculate percentile rank

$$\text{Percentile Rank} = \frac{0 + 0.5 \times 1}{6} \times 100 = \frac{0.5}{6} \times 100 \approx 8.33$$

Step4: Round to nearest whole number

Round 8.33 to 8.

Answer:

8