The data set has a box and whisker plot with Q1 = 10, Q3 = 20 and median = 15. If we create a new data set by multiplying each element of by 2, what will be the values of Q1, Q3 and median of data set ?
Options
A
Q1 = 20, Q3 = 40, median = 30
B
Q1 = 10, Q3 = 20, median = 15
C
Q1 = 5, Q3 = 10, median = 7.5
D
Q1 = 40, Q3 = 80, median = 60
Answer & Analysis
Answer
A
Analysis
If we multiply each data point by a constant , the measures of central tendency and dispersion also get multiplied by .
For the data set with Q1 = 10, Q3 = 20 and median = 15.
For data set (where each element of is multiplied by 2)
Q1 of
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