Mean, Mode and Median of a Frequency Distribution (Leaving Cert Mathematics): Flashcards

Mean, median, and mode

$\frac{\sum (f \times x)}{\sum f}$

$x = \frac{\text{Lower Bound} + \text{Upper Bound}}{2}$

Frequency of each class

Value below which $50$% of data lies

$L + \left(\frac{\frac{N}{2} - CF}{f_m}\right) \times c$

Lower boundary of median class

Where cumulative frequency reaches/exceeds $\frac{N}{2}$

Value or class with highest frequency

$L + \left(\frac{f_m - f_{1}}{(f_m - f_{1}) + (f_m - f_{2})}\right) \times c$

Class with the highest frequency

Frequency of modal/median class

Total frequency ($\sum f$)

Cumulative frequency before median class

Class width