Maths-
General
Easy
Question
Each of the three data sets represented by the three dot plots has 15 values.
The medians of data sets A, B, and C are a, b, and c, respectively. What is the relationship between a, b, and c ?
- a > b > c
- b > a > c
- c > b > a
- a = b = c
The correct answer is: a = b = c
The median is the middle value when a data set is ordered from least to greatest.
Explanations:
Step 1 of 2:
In the given dot plots, the x - axis has same of number of data points i.e., from 1 to 10.
The medians of data sets A, B and C are a, b and c, respectively.
So, to calculate the median of the data sets, we should consider the dots at 
and 
points simultaneously.
Step 2 of 2:
It can be observed that at 5th point, there are 4 dots and at 6th point, there are 3 dots in all the three dot plots.
So, in this case the medians for all the data sets are same.
∴ a = b = c
Final Answer:
The relationship between a, b and c is — a = b = c.
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