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

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Short Answer Type

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451.
Find the median of the data: 111, 129, 143, 118, 120, 125, 170, 162.

The data in ascending order is:
111, 118, 120, 125, 129, 143, 162, 170 ...(i)
N = 8 (Even)
$rightwards double arrow$ Median = $fraction numerator straight T subscript begin display style straight N over 2 end style end subscript plus straight T subscript begin display style straight N over 2 end style plus 1 end subscript over denominator 2 end fraction$
$straight T subscript straight N over 2 end subscript space equals space straight T subscript 8 over 2 end subscript space equals space straight T subscript 4 space equals space 125$ [From (i)]
$space straight T subscript straight N over 2 plus 1 end subscript space equals space straight T subscript 8 over 2 plus 1 end subscript space equals space straight T subscript 5 space equals space 129$ [From (i)]
∴ Median = $space space fraction numerator 125 plus 129 over denominator 2 end fraction equals 127$

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452.

Find the median of the data:

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453.

Find the median of the data:

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454. Find the median for following distribution:

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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

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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

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

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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.

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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.

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460. Find the mean deviation about the median for the following data:

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5 7 9 10 12 15

space f subscript i

8 6 2 2 2 6

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