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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 mode and median of this data.
(ii) Is there more than one mode?

Name: 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 mode and median of this data. (ii) Is there more than one mode?
Uploaded: 2020-05-07T13:01:12Z
Duration: 1 min 55 s
Description: 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) 38 and 43 occur the highest number of times and thus they are the mode of the given observation. Median is equal to 40, (ii) Yes, there is more than one mode i.e., two modes.

Solution:

We use the basic formulae of mode and median to solve the question.

Mode = Mode is the observation that occurs the highest number of times

Median = Median is the middle observation

Total number of students =15

Weights of 15 students = 38, 42, 35, 37, 45, 50, 32, 43,43, 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, out of the 15 observations given, the 8^th observation is the mid data.

Hence, median = 40 (8^th observation)

(ii) Yes, there are two modes 38 and 43.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 3

Video Solution:

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 mode and median of this data. (ii) Is there more than one mode?

NCERT Solutions Class 7 Maths Chapter 3 Exercise 3.2 Question 3

Summary:

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) 38 and 43 occur the highest number of times and thus they are the mode of the given observation. Median is equal to 40, (ii) Yes, there is more than one mode i.e., two modes.

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