91影视

The prices(in dollars) for one night stay at eight different hotels in Las Vegas are:

212, 77, 121, 104, 153, 264, 195, 244

(a)

The expression used to calculate the sample mean is:

$\stackrel{炉}{x}=\frac{鈭�x}{n}$, wherexrepresents the values and n is the sample size.

Substitute the values in the formula.

$$\begin{gathered} \stackrel{炉}{x}=\frac{212+77+...+244}{8} \\ =\frac{1370}{8} \\ 鈮�171.3 \end{gathered}$$

Thus, the mean value is approximately $171.3.

(b)

The following criteria are used to obtain the median once the set of observations are arranged.

Case 1: n is odd

The middlemost observation is the median.

Case 2: n is even

The average of the two middle observations is the median.

The number of observations is 8.

Arrange the observations in an ascending order.

The middlemost observations are 153 and 195.

The median is given as:

$$\begin{gathered} M=\frac{153+195}{2} \\ =174 \end{gathered}$$

Thus, the median is $174.0.

(c)

The mode is/are the value(s) with the maximum frequency.

The frequency distributions for the prices of hotels are:

As no price repeats itself more than once, there is no mode for the data.

(d)

The following formula is used for computing midrange:

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

Substitute the values in the formula.

$$\begin{gathered} \text{Midrange}=\frac{77+264}{2} \\ =\frac{341}{2} \\ =170.5 \end{gathered}$$

Thus, the midrange is $170.5.

The relevant statistic other than the measures of the center is the minimum price of the hotel. It will help the individuals to gain the base level of price for any hotel in Las vegas boulevard.

The other factors that may affect the decision for choosing the hotel are:

• the location of the hotel,
• the reviews of services by other tourists, and
• the ratings of the hotel.