Explanation:
4, 3, 4, 3, 4, 6, 4
Here, n = 7 (odd)
Median = Value of \(\Big(\frac{\text{n+1}}{2}\Big)\text{th}\) observation = Value of \(\Big(\frac{8}{2}\Big)\text{th}\) observation = 4
\(\text{Mean}=\frac{\text{Sum of observation}}{\text{n}}\)
\(=\frac{1+2+3+4+4+5+6}{7}=\frac{25}{7}\)
\(=3.57\)
Mode = Most frequent observation = 4
Hence,
Mean ? Median = Mode
Here, n = 7 (odd)
Median = Value of \(\Big(\frac{\text{n+1}}{2}\Big)\text{th}\) observation = Value of \(\Big(\frac{7+1}{2}\Big)\text{th}\) observation = 2
\(\text{Mean}=\frac{\text{Sum of observation}}{\text{n}}\)
\(=\frac{1+2+2+2+3+3+4}{7}=\frac{17}{7}\)
\(=2.428\)
Mode = Most frequent observation = 2
Hence,
Mean ? Median = Mode
Here, n = 7 (odd)
Median = Value of \(\Big(\frac{\text{n+1}}{2}\Big)\text{th}\) observation = Value of \(\Big(\frac{7+1}{2}\Big)\text{th}\) observation = 3
\(\text{Mean}=\frac{\text{Sum of observation}}{\text{n}}\)
\(=\frac{2+2+3+3+3+7+8}{7}=\frac{28}{7}\)
\(=4\)
Hence,
Mean ? Median = Mode
Here, n = 7 (odd)
Median = Value of \(\Big(\frac{\text{n+1}}{2}\Big)\text{th}\) observation = Value of \(\Big(\frac{7+1}{2}\Big)\text{th}\) observation = 4
\(\text{Mean}=\frac{\text{Sum of observation}}{\text{n}}\)
\(=\frac{3+3+4+4+4+4+6}{7}=\frac{28}{7}\)
\(=4\)
Hence,
Mean = Mode = Median