The data below shows the number of batsmen having different batting averages. Average Number of batsman 40-44 12 44-48 10 48-52 8 52-56 6 56-60 4 What is the mean batting average per batsman?

48 47 46 45

48

⇒ Total number of batsman = 12 + 10 + 8 + 6 + 4 = 40 ⇒ Mean = \(\frac{42×12 + 46×10 + 50×8 + 54 × 6 + 58×4 }{40 }\)  = \(\frac{504 + 460 + 400 + 324 + 232  }{40 }\) = \(\frac{1920 }{40 }\) = 48