Ex.3.2 Q3 Data Handling - NCERT Maths Class 7

Go back to  'Ex.3.2'

Question

The weights (in kg) of \(15\) students of a class are: -

\(38, 42, 35, 37, 45, 50, 32, 43,43,\\ 40, 36, 38, 43, 38,47\)

(i) Find the median and mode of this data.

(ii) Is there more than one mode?

Text Solution

Reasoning:

What is known?

The weights (in kg) of \(15\) students of a class

What is unknown?

The median and mode of this data.

Reasoning:

Mode \(=\) Mode is the observation that occurs highest number of times 

Median \(=\) Median is the middle observation 

Steps:

Total number of students \(=15\)

Weights of \(15\) students \(= 38, 42, 35, 37, 45, 50, 32, 43,\\ \quad43, 40, 36,38, 43, 38, 47.\)

Arranging in ascending order, we get \(32, 35, 36, 37,38, 38,38, 40, 42, \\43, 43,43, 45, 47, 50\)

(i) Mode is the observation that occurred highest number of times.

Thus\(, 38\) and \(43\) occur highest number of times.

\(∴\) Mode \(= 38\) and \(43.\)

Also, median \(= 40\) (8th observation)

(ii) Yes, there are two modes.

  
Learn from the best math teachers and top your exams

  • Live one on one classroom and doubt clearing
  • Practice worksheets in and after class for conceptual clarity
  • Personalized curriculum to keep up with school