The histogram summarizes the number of tropical storms per year in the US for 30 years.

What interval contains the $60^{ ext {th }}$ 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

Q: 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

∻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.⚹◊What formula would you use to calculate the 60th percentile for the histogram data provided?⍭ Generate me a similar question◊

Question

The histogram summarizes the number of tropical storms per year in the US for 30 years.

What interval contains the $60^{	ext {th }}$ 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

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To find the $60^{ ext{th}}$ percentile, we need to determine the value below which 60% of the data falls. ‖ ‖ step 2 ⋮ Since the data spans 30 years, the $60^{ ext{th}}$ percentile will be the value below which 18 years of data fall, because $60\%$ of 30 years is $0.60 imes 30 = 18$ 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 $60^{ ext{th}}$ percentile. ‖ ∻Answer∻ ⚹ The interval that contains the $60^{ ext{th}}$ percentile for this data is (A) 50 to 75 tropical storms. ⚹ ∻Key Concept∻ ⚹Percentiles in a Histogram⚹ ∻Explanation∻ ⚹The $60^{ ext{th}}$ 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.⚹◊What formula would you use to calculate the 60th percentile for the histogram data provided?⍭ Generate me a similar question◊

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