91影视

Stacy鈥檚 first five science test scores were 95, 86, 83, 95, and 99.

The mean of the data is the ratio of the sum of observations to the total number of observations.

For the median of the data, arrange the data in ascending or descending order.

If n is the number of variables in the data, then the median is given by the following formula.

Median $=\frac{n+1}{2}\text{th}$variable; when n is odd.

And

Median $=\frac{1}{2}\left\{\frac{n}{2}\text{迟丑鈥夆赌塿补谤颈补产濒别鈥�}+\left(\frac{n}{2}+1\right)\text{迟丑鈥夆赌塿补谤颈补产濒别}\right\}$; when n is even.

The mode of the data is the observation that occurs most of the time.

The range of a data set is the difference between the largest value and the smallest value.

The mean of the data is:

$$\begin{gathered} \text{Mean}=\frac{83+86+95+95+99}{5} \\ =\frac{458}{5} \\ =91.6 \end{gathered}$$

In the data set, 95 occurs 2 times.

So,

The mode of the data is 95.

The data set is written in ascending order:

83, 86, 95, 95, 99

Since, $n=5$which is odd.

So,

$$\begin{gathered} \text{Median}=\frac{5+1}{2}\text{迟丑鈥夆赌塿补谤颈补产濒别} \\ =\frac{6}{2}\text{迟丑鈥夆赌塿补谤颈补产濒别} \\ =3\text{谤诲鈥夆赌塿补谤颈补产濒别} \\ =95 \end{gathered}$$

Since, the largest value = 99 and the smallest value = 83

So,

Range$=99鈭�83=16$

From above, conclude that the mode is the same as the median.