Question

Measurements of the mass of a large sample of steel reinforcement rods produced the following table 4.975 5.015- 5.055- 5.095- 5.135- 5.175- 5.215- 5.255- 5.295- 5.335- 5.375 Class (kg) 5,015 5.055 5,095 5.135 5.175 5.215 5.255 5.295 5.335 5.375 5.415 Frequency 17 23 32 40 46 41 34 23 9 5 a) Calculate the mean to three decimal places kg Sub b) Calculate the standard deviation. Round your answer to 3 decimal places Subr 12

Answer 1

Class (kg) Avg class (ky d Fregueney if f.d 4.975-5.015 (d-p2 4.995 5.015-5.05S g4.915 0.05 244! 5.035 1) 5.805 0.03572 1 23 5.055-5.915 5.075 1 62-4 0.0222 32 995-5.135 5.5425 221- 40 υποι ιο5 5-135-5175 237-13 5.155 46 8.41V 5.175-5.215 212 995 41 5.195 121 x) 177.99 5.215-5.255 34 5.235 - 3 2.601X10 5-2 55 5.2995 121-325 23 5-275 - 9lx 18.8 63.78 5.295-5.335 12 5-315 0 o17161 48.195 5.335-5375 5.355 0.02 9241 2 6.975 5.375-5.4I5 5.395 tid-pi 0.274809 Efd-1473-2 Ef- 282 ECd-H2 Standard deviah sn Mean M t3 i473-2 0.279809 282 Ans 01580589 5.224 0.158 An