Questions: Here again is the histogram showing the distribution of 50 ages at death due to trauma (accidents and homicides) that were observed in a certain hospital during a week.
A possible value of the median in this example is
23
45
50
33
It is impossible to answer without seeing all of the data.
Transcript text: Here again is the histogram showing the distribution of 50 ages at death due to trauma (accidents and homicides) that were observed in a certain hospital during a week.
A possible value of the median in this example is
23
45
50
33
It is impossible to answer without seeing all of the data.
Solution
Solution Steps
Step 1: Understand the Problem
We need to determine a possible value of the median age at death due to trauma from the given histogram. The histogram shows the distribution of 50 ages.
Step 2: Identify the Median Position
The median is the middle value in a data set. Since there are 50 ages, the median will be the average of the 25th and 26th values when the data is ordered.
Step 3: Analyze the Histogram
The histogram shows the frequency of ages in different intervals.
The intervals and their frequencies are:
10-20: 2
20-30: 16
30-40: 12
40-50: 8
50-60: 6
60-70: 4
70-80: 1
80-90: 1
Step 4: Locate the Median Interval
The cumulative frequency up to each interval is:
10-20: 2
20-30: 18 (2+16)
30-40: 30 (18+12)
The 25th and 26th values fall in the 30-40 interval.
Final Answer
The median age is in the 30-40 interval. Therefore, a possible value of the median is 33.