魅影直播

Starting from the year 2000, the number of firefighters who lost their lives in forest fires is recorded as follows:

20, 18, 23, 30, 20, 12, 24, 9, 25, 15, 8, 11, 15, 34

(a)

The mean is computed as follows:

$\stackrel{炉}{x}=\frac{鈭�x}{n}$, where x represents the values and n is the count of the values.

Substitute the values in the formula.

$$\begin{gathered} \stackrel{炉}{x}=\frac{20+18+...+34}{14} \\ =\frac{264}{14} \\ 鈮�18.8571 \end{gathered}$$

Thus, the mean value is approximately 18.9.

(b)

The median is computed as follows:

• For an odd data set, the middlemost observation is considered to be the median.
• For an even number of values, the average of the two middlemost observations is the median.

The number of observations is 14.

Arrange the observations in ascending order.

The middlemost observations are 18 and 20.

The median is given as:

$$\begin{gathered} M=\frac{18+20}{2} \\ =\frac{38}{2} \\ =19 \end{gathered}$$

Thus, the median is 19.0.

(c)

Mode is considered to be the most frequent value in the data set.

The frequency distributions for the number of firefighters are:

The highest frequencies obtained are 15 and 20.

Thus, the data is bimodal, with modes 15 and 20.

(d)

The midrange is computed as follows:

$\text{Midrange}=\frac{\text{Minimum}\text{value}+\text{Maximum}\text{value}}{2}$

Substitute the values in the formula.

$$\begin{gathered} \text{Midrange}=\frac{8+34}{2} \\ =21 \end{gathered}$$

Thus, the midrange is 21.0.

The data is based on years, which means it is a time-based data. The most important feature of time series data is the pattern in which changes occur with the change in time.

Thus, the pattern cannot be identified using any measure of center.