Median formula for ungrouped data
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Median for grouped data calculator
Median formula for grouped data and ungrouped data...
Mean, Median and Mode
from Grouped Frequencies
Explained with Three Examples
The Race and the Naughty Puppy
This starts with some raw data (not a grouped frequency yet) ...
Alex timed 21 people in the sprint race, to the nearest second:
59, 65, 61, 62, 53, 55, 60, 70, 64, 56, 58, 58, 62, 62, 68, 65, 56, 59, 68, 61, 67
To find the Mean Alex adds up all the numbers, then divides by how many numbers:
Mean = 59 + 65 + 61 + 62 + 53 + 55 + 60 + 70 + 64 + 56 + 58 + 58 + 62 + 62 + 68 + 65 + 56 + 59 + 68 + 61 + 6721
Mean = 61.38095...
To find the Median Alex places the numbers in value order and finds the middle number.
In this case the median is the 11th number:
53, 55, 56, 56, 58, 58, 59, 59, 60, 61, 61, 62, 62, 62, 64, 65, 65, 67, 68, 68, 70
Median = 61
To find the Mode, or modal value, Alex places the numbers in value order then counts how many of each number.
The Mode is the number which appears most often (there can be more than one mode):
53, 55, 56, 56, 58, 58, 59, 59, 60, 61, 61, 62, 62, 62, 64, 65, 65, 67, 68, 68, 70
62 appears thr
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