91Ó°ÊÓ

The list of figures

$$\begin{gathered} 6414;1550;2109;9350;21828;4300;5944;5722;2825; \\ 2044;5481;5200;5853;2750;10012;6357;27000;9414; \\ 7681;\text{3200; 17500; 9200; 7380; 18314; 6557; 13713; 17768; 7493;} \\ \text{2771; 2861; 1263; 7285; 28165; 5080;}11622 \end{gathered}$$

The list of figures

The list of figures

The mean is the average value of a given data set which represents each and every observation. The mean is dependent on the outliners too. But the mode is the observation that gives the highest frequency. when we have to make a decision to build a new community college, the best way is to consider the majority. Hence, in this case, the mode is more valuable.

The list of figures

$$\begin{gathered} \stackrel{¯}{x}=\frac{∑fx}{∑f} \\ =\frac{297000}{35} \\ =8485.7143 \end{gathered}$$

The list of figures

$$\begin{gathered} S=\sqrt{\frac{∑f(x-\stackrel{¯}{x}{)}^2}{∑f-1}} \\ =\sqrt{\frac{1610742860}{35-1}} \\ =\sqrt{\frac{1610742860}{34}} \\ =\sqrt{47374790} \\ =6882.9347 \end{gathered}$$

The list of figures

Sample mean$\stackrel{¯}{x}=8486$

The sample standard deviation$S=6883$

Value to be considered$x=8000$

$$\begin{gathered} (\#\text{of STDVs})=\frac{\text{value-}\stackrel{¯}{x}}{S} \\ (\#\text{of STDVs})=\frac{8000-8486}{6883} \\ =\frac{-486}{6883} \\ =-0.0706 \end{gathered}$$

Hence $8000$is $0.07$standard deviation below the mean.