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 first need to determine the number of years that corresponds to this percentile. Since there are 30 years of data, the $60^{\text{th}}$ percentile will be at the $0.60 \times 30 = 18^{\text{th}}$ year when the years are ordered from least to greatest number of storms. ‖ ‖ step 2 ⋮ Next, we need to count the cumulative number of years in each interval until we reach the $18^{\text{th}}$ year. ‖ ‖ step 3 ⋮ According to the histogram, the first interval (0-25 storms) contains 7 years, the second interval (25-50 storms) contains 6 years, and the third interval (50-75 storms) contains 5 years. The cumulative count by the end of the third interval is $7 + 6 + 5 = 18$ years. ‖ ‖ step 4 ⋮ Since the $18^{\text{th}}$ year falls within the third interval (50-75 storms), this is the interval that contains the $60^{\text{th}}$ percentile. ‖ ∻Answer∻ ⚹ (A) 50 to 75 tropical storms ⚹ ∻Key Concept∻ ⚹Percentiles in a Data Set⚹ ∻Explanation∻ ⚹The $60^{\text{th}}$ percentile of a data set is the value below which 60% of the data falls. In a histogram, this corresponds to the interval where the cumulative count reaches or exceeds the $60^{\text{th}}$ percentile position when the data is ordered.⚹◊What formula or method can be used to determine the interval containing the 60th percentile in a histogram data set?⍭ 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 first need to determine the number of years that corresponds to this percentile. Since there are 30 years of data, the $60^{ ext{th}}$ percentile will be at the $0.60 imes 30 = 18^{ ext{th}}$ year when the years are ordered from least to greatest number of storms. ‖ ‖ step 2 ⋮ Next, we need to count the cumulative number of years in each interval until we reach the $18^{ ext{th}}$ year. ‖ ‖ step 3 ⋮ According to the histogram, the first interval (0-25 storms) contains 7 years, the second interval (25-50 storms) contains 6 years, and the third interval (50-75 storms) contains 5 years. The cumulative count by the end of the third interval is $7 + 6 + 5 = 18$ years. ‖ ‖ step 4 ⋮ Since the $18^{ ext{th}}$ year falls within the third interval (50-75 storms), this is the interval that contains the $60^{ ext{th}}$ percentile. ‖ ∻Answer∻ ⚹ (A) 50 to 75 tropical storms ⚹ ∻Key Concept∻ ⚹Percentiles in a Data Set⚹ ∻Explanation∻ ⚹The $60^{ ext{th}}$ percentile of a data set is the value below which 60% of the data falls. In a histogram, this corresponds to the interval where the cumulative count reaches or exceeds the $60^{ ext{th}}$ percentile position when the data is ordered.⚹◊What formula or method can be used to determine the interval containing the 60th percentile in a histogram data set?⍭ Generate me a similar question◊

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