The scores in mathematics test (out of 25) of 15 students is as follows:
19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20
Find the mode and median of this data. Are they same?
Solution:
We use the basic formula and definitions of mode and median to solve the problem.
Scores of 15 students in mathematics test are: 19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20.
Arranging scores in ascending order, we get
5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20 , 23, 24, 25, 25
Mode - Mode of a given data is that value of observation that has the maximum occurrence or repetition i.e., most frequent.
Therefore, 20 has the highest occurrence.
∴ Mode = 20.
We have 15 observations given in total. Hence, the midmost observation will be the 8th observation.
Median = Middlemost observation (in this case, 8th observation)
∴ Median = 20
Yes, the mode and median of the given observations are the same.
☛ Check: NCERT Solutions for Class 7 Maths Chapter 3
Video Solution:
The scores in mathematics test (out of 25) of 15 students is as follows: 19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20 Find the mode and median of this data. Are they same?
NCERT Solutions Class 7 Maths Chapter 3 Exercise 3.2 Question 1
Summary:
The scores in mathematics test (out of 25) of 15 students is as follows: 19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20. Mode and Median of the given observation is 20. Yes, the mode and median of the given observations are same.
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