Question

Math

Posted 5 months ago

```
The histogram summarizes the number of tropical storms per year in the US for 30 years.
What interval contains the $60^{\text {th }}$ percentile for this data?
Choose 1 answer:
(A) 50 to 75 tropical storms
(B) 75 to 100 tropical storms
(C) 100 to 125 tropical storms
(D) 125 to 150 tropical storms
```

Sign in to unlock the answer

Answer from Sia

Posted 5 months ago

Solution by Steps

step 1

To find the $60^{\text{th}}$ percentile, we need to determine the value below which 60% of the data falls

step 2

Since the data spans 30 years, the $60^{\text{th}}$ percentile will be the value below which 18 years of data fall, because $60\%$ of 30 years is $0.60 \times 30 = 18$ years

step 3

We examine the histogram and add up the frequencies (number of years) from the lowest interval upwards until the cumulative frequency reaches or exceeds 18

step 4

The interval that causes the cumulative frequency to reach or exceed 18 will contain the $60^{\text{th}}$ percentile

Answer

The interval that contains the $60^{\text{th}}$ percentile for this data is (A) 50 to 75 tropical storms.

Key Concept

Percentiles in a Histogram

Explanation

The $60^{\text{th}}$ percentile is the value below which 60% of the data falls. In a histogram, this is found by adding the frequencies of the intervals from the lowest upwards until the cumulative frequency is equal to or greater than 60% of the total number of observations.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Upgrade to Asksia Pro

Join a AskSia's Pro Plan, and get 24/7 AI tutoring for your reviews, assignments, quizzes and exam preps.

Unlimited chat query usages

Strong algorithms that better know you

Early access to new release features

Study Other Question