If 35 is removed from the data, 30, 34, 35, 36, 37, 38, 39, 40 then the median increases by:
Answers
Explanation: We have
30, 34, 35, 36, 37, 38, 39, 40
The data has 8 observations, so there are two middle terms, 4th and 5th term i.e. 36 and 37.
The median is the mean of both these terms.
Median = (36 + 37)/2
Median = 36.5
When 35 is removed from given data as 30, 35, 36, 37, 38, 39, 40 then the number of observations becomes 7.
Now the median is the middle most i.e 4th term which is equal to 37.
Therefore median is increased by 37 – 36.5 = 0.5
Median will increase by 0.5
Step-by-step explanation:
GIVEN DATA
30, 34, 35, 36, 37, 38, 39, 40
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To find the increase median,
first we need to find the data without removing 35
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Without Removing 35
We know that,
Median = Sum of two middle numbers / 2
Median = 36 + 37 / 2
Median = 36.5
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If we remove 35 from the data, data will be
30, 34, 36, 37, 38, 39, 40
Median = Middle number of the data
∴ Median = 4th term
∴ Median = 37
Median = 37
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The median will be increase as
37 - 36.5
= 0.5