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Home » The distributions of below give a weight of 30 students of a class. Find the median weight of a student.
The distributions of below give a weight of 30 students of a class. Find the median weight of a student.
CBSE | Class 10 | Exercise 14.3 | Maths | NCERT | Statistics
The distributions of below give a weight of 30 students of a class. Find the median weight of a student.
Weight(in kg)40-4545-5050-5555-6060-6565-7070-75
Number of students2386632

Solution:

Class Interval      Frequency           Cumulative recurrence

40-45     2             2

45-50     3             5

50-55     8             13

55-60     6             19

60-65     6             25

65-70     3             28

70-75     2             30

Given: n = 30 and n/2= 15

    \[Middle\text{ }class\text{ }=\text{ }55-60\]

l = 55, Cf = 13, f = 6 and h = 5

Ncert solutions class 10 chapter 14-8

    \[Middle\text{ }=\text{ }55+\left( \left( 15-13 \right)/6 \right)\times 5\]

    \[Median=55\text{ }+\text{ }\left( 10/6 \right)\text{ }=\text{ }55+1.666\]

    \[Middle\text{ }=56.67\]

Subsequently, the middle load of the understudies = 56.67

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