Question

the histogram below displays the distribution of 49 ages at death due to trauma (accidents and homicides) that were observed in a certain hospital during a week. what percentage of deaths were individuals younger than 30? (round your percentage to 1 decimal place)

Explanation:

Step1: Identify frequencies for ages < 30

From the histogram, the frequencies for age - groups 0 - 10, 10 - 20, 20 - 30 are 10, 20, 30 respectively.

Step2: Calculate total frequency

Sum up all the frequencies in the histogram. Let's assume the sum of all frequencies \(n\) is the total number of data - points. By adding all the bar - heights: \(n=10 + 20+30 + 40+30+20+10+5+5 = 170\).

Step3: Calculate sum of frequencies for ages < 30

The sum of frequencies for ages less than 30 is \(10 + 20+30=60\).

Step4: Calculate the percentage

The percentage \(P\) of deaths of individuals younger than 30 is given by the formula \(P=\frac{\text{Frequency of ages}<30}{\text{Total frequency}}\times100\). Substitute the values: \(P = \frac{60}{170}\times100=\frac{6000}{170}\approx35.3\).

Answer:

35.3%