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Short Answer Type

451.

Find the median of the data: 111, 129, 143, 118, 120, 125, 170, 162.

118 Views

452.

Find the median of the data:

109 Views

453.

Find the median of the data:

121 Views

454. Find the median for following distribution:

112 Views

Long Answer Type

455. Find the mean deviation about the mean for the following data:
38, 70, 48, 40, 42, 55, 63, 46, 54, 44

464 Views

456. Find the mean deviation about the mean for the following data :

space x subscript i

5 10 15 20 25

space f subscript i

7 4 6 3 5

226 Views

457. Find the mean deviation about the mean for the following data:

135 Views

Short Answer Type

458. Find the mean deviation about the median for the following data:
3, 9, 5, 3, 12, 10, 18, 4, 7, 19, 21.

313 Views

Long Answer Type

459. Find the mean deviation about the media for the following data:
36, 72, 46, 42, 60, 45, 53, 46, 51, 49.

The given data in ascending order is:
36, 42, 45, 46, 46, 49, 51, 53, 60, 72
Total number of terms = 10 $rightwards double arrow$ N = 10 (even)
$straight T subscript straight N over 2 end subscript space equals space straight T subscript 10 over 2 end subscript space equals space straight T subscript 5 space equals space 5 to the power of th space term space equals space 46$
$space space straight T subscript straight N over 2 plus 1 end subscript space equals space straight T subscript 10 over 2 plus 1 end subscript space equals space straight T subscript 5 plus 1 end subscript space equals space 6 to the power of th term space equals space 49$
∴ Median = $space fraction numerator 46 plus 49 over denominator 2 end fraction equals 47.5$
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$space space space space plus open vertical bar 49 minus 47.5 close vertical bar space plus space open vertical bar 51 minus 47.5 close vertical bar space plus space open vertical bar 53 minus 47.5 close vertical bar$
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= 11.5 + 5.5 + 2.5 + 1.5 + 1.5 + 1.5 + 3.5 + 5.5 + 12.5 + 24.5 = 70
$straight M. straight D. space left parenthesis Med. right parenthesis space equals space fraction numerator sum open vertical bar straight x minus Med. close vertical bar over denominator straight N end fraction equals 70 over 10 equals 7$