Answer: Option C
:
C
Arranged data set is:
1 4 6 6 9 12 13 19 25 33 45 56
Median: The middle most value after arranging the given data.
Here, the number of observations is 12, which is an even number.So, we take the average of thetwo observations in the middle to find the value of median.
Median=$\frac{12+13}{2}$=12.5. (Mean of the $6^{th}$ and$7^{th}$ observation)
Mode:Theobservation that occurs most often in the data set.
We can find 6 two times in the data set. This is the most repeated value in the data set. The value of the mode is 6.
i.e., Mode=6.
Difference betweenmedian and mode of the given data set=12.5-6=6.5.