91影视

The selling prices for TVs larger than 60 inches listed as the best buy are recorded in dollars.

(a)

The mean for a set of sample observations is computed as:

$\stackrel{炉}{x}=\frac{鈭�x}{n}$

Here, xrepresents the observations and n is the sample size.

Substitute the values in the formula.

$$\begin{gathered} \stackrel{炉}{x}=\frac{1800+1500+...+1750}{12} \\ =\frac{17450}{12} \\ =454.167 \\ 鈮�1454.2 \end{gathered}$$

Thus, the mean value is approximately $1454.2.

(b)

The median for a set of observations is computed as:

For an odd number of observations, the middlemost observation is the median.

For an even number of observations, the average of the two middlemost observations is the median.

The sample size is 12.

Arrange the observations in ascending order.

The middlemost observations are1500 and 1500.

The median is given as:

$$\begin{gathered} M=\frac{1500+1500}{2} \\ =1500 \end{gathered}$$

Thus, the median is $1500.0.

(c)

Mode is equal to the observation with the maximum frequency.

The frequency distributions for the prices are:

The highest frequency is obtained for $1500.

Thus, the mode of the data is $1500.

(d)

The midrange for a set of observations is computed as:

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

Substitute the values in the formula.

$$\begin{gathered} \text{Midrange}=\frac{950+1800}{2} \\ =\frac{2750}{2} \\ =1375 \end{gathered}$$

Thus, the midrange is $1375.0.

The sample consists of data from only the best buy TVs of the required dimension. The sample is, therefore, not an appropriate representative of the population of all TVs.

Thus, the resultant statistics are not representative of the population.

From a buyer鈥檚 perspective, it is important to identify the lowest selling price of the TV set of the specific dimension for better comparison.