Correct option is D
Mean = Σfx/Σf = 8330/150 = 55.53
Median class = 50–60 => M = 50 + (75–55)/45 ×10 = 54.44
Mode class = 50–60 => Z = 50 + (45–37)/(90–37–27)×10 = 53.08
Hence, Mean = 55.53, Median = 54.44, Mode = 53.08
(Follows relation Mean > Median > Mode → Positively skewed.)
when the population standard deviation is known, the appropriate test is: