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Find the difference between median and mode of the following data: 2, 3, 5, 7, 2, 3, 3, 5, 7 and 9.  
Question

Find the difference between median and mode of the following data:
2, 3, 5, 7, 2, 3, 3, 5, 7 and 9.  

A.

–2

B.

2

C.

–1

D.

1

Correct option is D

Given:
2, 3, 5, 7, 2, 3, 3, 5, 7, 9.
Concept Used:
Mode:
The mode is the number that appears most frequently in the data set.
Median:
The median is the middle value of a data set when it is arranged in ascending order. If there is an even number of values, the median is the average of the two middle numbers.
Solution:
Arranging the data in ascending order:
2, 2, 3, 3, 3, 5, 5, 7, 7, 9.
Now, for mode:
We can see the number 3 appears 3 times, which is more frequent than any other number.
So, mode = 3
Now, for median:
The data set has 10 values: 2, 2, 3, 3, 3, 5, 5, 7, 7, 9.
The two middle numbers are the 5th and 6th numbers: 3 and 5.
So,
Median =3+52=82=4\frac{3 + 5}{2} = \frac{8}{2} ​=4​​
Now, the difference between the median and mode;
Difference = Median - Mode = 4 - 3 = 1. 
Thus, the difference is 1

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