1. Find the median of the following set of values
(1)83.66, 86, 30,81
(2)45,49, 46, 44, 36, 37, 55, 51
(3)70, 71, 70, 68, 67, 69,70(4)51,55,46, 47, 53,55,51,46
Answers
Answer:
answer is here
Step-by-step explanation:
The median is also the number that is halfway into the set. To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers. And if there are odd number of terms then middle number is the median.
(1) 83,66,86,30,82
Arranging in order from least to greatest.
30,66,82,83,86
Number of terms is odd, then median is the middle number 82
(2) 45,49,46,44,38,37,55,51
Arranging in ascending order
37,38,44,45,46,49,51,55
The number of terms is even then median is average of two middle numbers
i.e.
2
45+46
=45.5
(3) 70,71,70,68,67,69,70
Arranging in ascending order
67,68,69,70,70,70,71
Then terms are odd then median is middle number 70
(4) 51,55,46,47,53,55,51,46
Arranging in ascending order
46,46,47,51,51,53,55,55
The number of terms is even then median is average of two middle numbers
2
51+51 / 2 = 51
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