91影视

The annual costs of tuition and fees of the most expensive colleges in the U.S. are listed as follows.

(a)

The mean of the sample of n observations is computed as:

$\stackrel{炉}{x}=\frac{鈭�x}{n}$, where xrepresents the observations and nis the count of the observations.

Substitute the values in the formula.

$$\begin{gathered} \stackrel{炉}{x}=\frac{49138+47890+...+46785}{10} \\ =\frac{473274}{10} \\ 鈮�47327.4 \end{gathered}$$

Thus, the mean value is approximately $47327.4.

(b)

The median of n observations is computed as:

• If n is odd, the middlemost observation is the median.
• If n is even, the average of the two middle observations is the median.

The number of observations is10.

Arrange the observations in ascending order.

The middlemost observations are 46,944, and 46,962.

The median is given as:

$$\begin{gathered} M=\frac{46944+46962}{2} \\ =\frac{93906}{2} \\ =46953 \end{gathered}$$

Thus, the median is $46,953.0.

(c)

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

None of the values has the highest frequency.

Thus, there is no mode in the data.

(d)

The midrange of the set of n observations is computed using the minimum and maximum values as shown below:

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

Substitute the values in the formula.

$$\begin{gathered} \text{Midrange}=\frac{46785+49138}{2} \\ =\frac{95923}{2} \\ =47961.5 \end{gathered}$$

Thus, the midrange is $47,961.5.

The sampled list of colleges comprises the 10 most expensive colleges in the United States. So, the sample includes only a certain number of samples, which are the most expensive in terms of fees. Thus, the sample is not a true representative of the population of costs in all U.S.colleges.

Therefore, the top 10 list of costs can only be used to infer that the costs at any other United States college in that year would be less than the sampled observations.