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Mathematics

Find the median weight for the following data:

Weigh(in kg)Number of boys
458
465
486
509
527
544
552

Statistics

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Answer

Cumulative frequency table :

Weight (in kg)Number of boys (Frequency)Cumulative Frequency (cf)
4588
46513
48619
50928
52735
54439
55241

Total number of observations = 41, which is odd.

By formula,

Median = n+12\dfrac{n + 1}{2} th observation

41+12\dfrac{41 + 1}{2} th observation

422\dfrac{42}{2}th observation

⇒ 21st observation

From the table,

From 20th to 28th position, the weight = 50 kg

∴ Median = 50 kg.

Hence, median weight is 50 kg.

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