The following histogram shows the age of each person on a hiking trail.

In which interval is the median age?
Choose 1 answer:
(A) 0 to 5
(B) 5 to 10
(c) 10 to 15
(D) 15 to 20

Question

The following histogram shows the age of each person on a hiking trail.

In which interval is the median age?
Choose 1 answer:
(A) 0 to 5
(B) 5 to 10
(c) 10 to 15
(D) 15 to 20

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To determine the median age, we first need to find the total number of hikers. Summing the frequencies: $4 + 2 + 2 + 1 + 2 = 11$ hikers. ‖ ‖ step 2 ⋮ The median is the middle value in an ordered list. For 11 hikers, the median is the 6th value. ‖ ‖ step 3 ⋮ We now identify the interval containing the 6th hiker. The cumulative frequencies are: - 0 to 5 years: 4 hikers - 0 to 10 years: 4 + 2 = 6 hikers Since the 6th hiker falls in the 5 to 10 years interval, the median age is in this interval. ‖ ∻Answer∻ ***B*** ∻Key Concept∻ ⚹Median in a frequency distribution⚹ ∻Explanation∻ ⚹The median is the middle value in an ordered list. For a histogram, it is found by identifying the interval containing the middle value based on cumulative frequencies.⚹◊What is the formula for calculating the median age in a histogram distribution?⍭ Generate me a similar question◊

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