Answer:
B. Median
Step by step explanation:
We have been given a stem and leaf plot and we are asked to find which measure is most appropriate to describe the center of the data in our plot.
First of all we will write our given data and see type of our data.
5, 6, 10, 12, 13, 13, 14, 21, 42, 51
We can see from our data that our data is not equally distributed. Our data is skewed to right.
Let us see our given options one by one.
A. Inter-quartile range is known as mid spread and represents middle 50% of data. It is a measure of variability, therefore, option A is not a correct choice.
B. Since we know that median is the best central tendency to measure a skewed data. Therefore, median is the best measure for the center of our data and option B is the correct choice.
C. Mean is best central tendency to measure a data set which is not skewed, therefore, option C is not a correct choice as well.
D. Range is used to measure the spread of data. It is the difference between upper and lower values in the data set. Therefore, option D is not correct choice.
