Tell whether the statement is true or false:
(i) The mode is always one of the numbers in a data.
(ii) The mean is one of the numbers in a data.
(iii) The median is always one of the numbers in a data.
(iv) The data 6, 4, 3, 8, 9, 12, 13, 9 has mean 9.

Solution:

We use the concepts of mean, median, and mode to solve the problem.

(i) True: Mode is the observations that occur highest numbers of times. Therefore, it is one observation in a data.

(ii) False: Mean may or may not be one of the numbers present in a data. It can also be a number which is not a part of the given observations.

(iii) True: Median is the middle observations of the given data when it is arranged in ascending or descending order.

(iv) False: The given data 6, 4, 3, 8, 9, 12, 13, 9.

Mean = Sum of all the observations / 8 

= 6 + 4 + 3 + 8 + 9 + 12 + 13 + 9 / 8

= 64 / 8

= 8

Therefore, the mean is 8.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 3

Video Solution:

Tell whether the statement is true or false: (i) The mode is always one of the numbers in a data. (ii) The mean is one of the numbers in a data. (iii) The median is always one of the numbers in a data. (iv) The data 6, 4, 3, 8, 9, 12, 13, 9 has mean 9

NCERT Solutions Class 7 Maths Chapter 3 Exercise 3.2 Question 5

Summary:

Tell whether the statement is true or false: (i) True: The mode is always one of the numbers in a data. (ii) False: The mean is one of the numbers in a data. (iii) True: The median is always one of the numbers in a data. (iv) False: The data 6, 4, 3, 8, 9, 12, 13, 9 has mean 9.

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