Page 269 - Area 9 - Relevant Document

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N
2. Median - the median of a set of numbers arranged in order of
magnitude (i.e., in an array) is the middle value or the
arithmetic mean of the middle value.
A. when N is an even number
Median = ½ ( XN/2 + X N/2+1)

B. when N is an odd number
Median = X N + 1

2
3. Mode- the mode of a given set of number is that value or values
which occurs with the greatest frequency. The mode may not
exist and even if it does not exist, it may not be unique.
1. Unimodal – only one mode
2. Bimodal – two modes
3. Polymodal – more than two modes

Sample Problem

Find the arithmetic mean, median and mode of the numbers
8,7,9,8,10,11,12,7,13,15,9,9,10.

1. Mean = 8+7+9+8+10+…..+10 = 9.85

13

2. Median = arranging the given set of data from lowest
to highest, we have 7,7,8,8,9,9,9,10,10,11,12,13,15

: N is odd therefore

Median = 10

3. Mode = from the given set of numbers, 9 is its mode, because it
has the has the highest frequency.

Mode = 9