Chapter 12, Problem 10CT

To determine

To find: the percentile rank of the weight of $4$ dog not more than $12.5\text{kg}$ .

Answer to Problem 10CT

The percentile rank of a weigh of $12.5\text{kg}$ is $40$ .

Explanation of Solution

Given:

Out of $10$ dogs, $4$ weigh not more than $12.5\text{kg}$ .

Concept used:

The percentile rank of a weight is the percentage of frequency which is number of dogs that are equal or more than or lower than it.

Percentile is percentage that is greater/lower than or equal to the exact percentage.

Calculation:

Not more than is same as less than or equal to so, according to the given:

Out of $10$ dogs, $4$ weigh not more than $12.5\text{kg}$ .

Write the ratio of number of weights less than or equal to $12.5$ compared to the total number of weights.

  $\frac{4}{10}=0.4\%$ .

Hence, the percentile rank of a weigh of $12.5\text{kg}$ is $40$ .