RANGE: is the highest value minus lowest value. i.e. H – L
MEDIAN: this is the middle number of a given distribution when arranged in order.
MODE: this is the number that occurred most frequent in a given distribution.
UNGROUPED DATA: These are data that are collected raw and treated as individual entity.
EXAMPLE
A dice is thrown 14 times and the scores were:
1, 6, 6, 4, 3, 5, , 5, 2, 4, 6, 3, 2, 1, 4.
Find the: (a) range (b) median score (c) mode score.
SOLUTION
Range = Highest score – Lowest score
= 6 – 1 = 5
Median score = 1, 1, 2, 2, 3, 3,| 4, 4,| 4, 5, 5, 6, 6, 6 (arrange in order)
= (4+4)/2
Median = 8/2 =4.
Mode = 4 and 6 ( bi – modal )
EXAMPLE
The table below shows the shoe size of a group of boys in ss1 Elias International School.
SHOE SIZE | 9 | 10 | 11 | 12 |
FREQUENCY | 4 | 5 | 7 | 2 |
Find the: (a) mode (b) median (c) range
SOLUTION
Mode is 11 because it appears 7 times.
EXAMPLE
Find the mode, median, and range of 50%, 55%, 60%, 70%, 65%.
SOLUTION
Mode = no mode
Median = 50%, 55%, |60%,| 65%, 70% = 60%
Range = 70% – 50% = 20%
Further study: WEEK 7 of SS2 third term Maths: https://stoplearn.com/courses/secondary-school/ss2-third-term-mathematics-senior-secondary-school/
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