Find the mean and the median of the observations 15, 22, 18, 27, 31, 21 , 14, 36,25 and 34.
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Answers
Answer:
Median =
2
2
n
th term+(
2
n
+1)th term
=
2
2
10
th term+(
2
10
+1)th term
=
2
5th term+6th term
=
2
26+29
=
2
55
Median = 27.5
Given,
The following set of observations: and
To find,
The mean and median of the given observations.
Solution,
The mean and median of and will be and respectively.
We can easily solve this problem by following the given steps.
We know that the following formula is used to find the mean of given observations:
Mean = Sum of all observations/total number of observations
The total number of observations is .
Mean
Mean
Mean =
Now, the median is the middle term of the observation. If the number of observations is odd then it is the middle term and if it is even then the sum of the two middle terms is divided by .
In this case, the number of observations is (even).
Now, the two middle terms will be the th and th observations.
Middle terms = and
Median
Median
Median
Hence, the mean and median of and is and respectively.
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