(begin{array}{c|c} No & 0 & 1 & 2 & 3 & 4 & 5 \ hline Frequency & 1 & 4 & 3 & 8 & 2 & 5 end{array}). From the table above, find the median and range of the data respectively.
-
A.
(8,5) -
B.
(3, 5) -
C.
(5 , 8) -
D.
(5 , 3)
Correct Answer: Option B
Explanation
Median = (frac{sum fx}{sum f})
(begin{array}{c|c}
No & 0 & 1 & 2 & 3 & 4 & 5 \ F & 1 & 4 & 3 & 8 & 2 & 5 \ fx & 0 & 4 & 6 & 24 & 8 & 25 end{array})
(sum fx) = 0 + 4 + 6 + 24 + 8 + 25 = 67
(sum f) = 23
Median = (frac{sum fx}{sum f}) = (frac{67}{23}) = 2.913
= (approx) 3
Range = 5 – 0 = 5
(3, 5)