Question

Statistics

Posted 3 months ago

```
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
```

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Answer from Sia

Posted 3 months ago

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.

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