find the median of the given data x 6 7 5 2 10 9 3 f 9 12 8 13 11 14 7
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Answer:
Median 6.5
Step-by-step explanation:
Sort the values first, from smallest to largest. Keep track of the right frequencies for each value.
x : 2 3 5 6 7 9 10
f : 13 7 8 9 12 14 11
The number of values is
∑f = 13 + 7 + 8 + 9 + 12 + 14 + 11 = 74
This is even, so there are 2 middle values.
74 / 2 = 37, so the 2 middle values are the 37th and 38th.
Cumulative frequencies:
13
13 + 7 = 20
20 + 8 = 28
28 + 9 = 37
So the 37th value is the last one in the 4th group, and the 38th value is the first one in the 5th group.
So the 37th value is 6 and the 38th value is 7.
The median is the mean of these two values:
( 6 + 7 ) / 2 = 6.5
Anonymous:
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