Arithmetic Mean Arithmetic Mean Arithmetic mean for individual, discrete and continuous observations using both direct and shortcut methods, combined mean, Harmonic Mean and Geometric Mean 1 / 10 The arithmetic mean of 10 observations is 25. If one observation, 30, is removed, what is the new arithmetic mean? 24.44 24.0 23.5 23.8 2 / 10 A student scored the following marks in 6 tests: 50, 60, 70, 80, 90, 100. What is the mean if the highest score is dropped? 75 72 70 74 3 / 10 For the following data, calculate the arithmetic mean using the direct method: X 2 4 6 8 10 f 1 2 3 4 5 6 6.4 6.67 8 4 / 10 For a dataset with frequencies and midpoints as below, find the mean using the shortcut method: Class Interval 0-10 10-20 20-30 30-40 40-50 Frequency (f) 2 3 5 4 1 Use A=25 (midpoint of 20−30) and h=10. 22.5 23 24 23.33 5 / 10 For the following grouped data, find the arithmetic mean using the direct method: Class Interval 0-20 20-40 40-60 60-80 80-100 Frequency () 5 10 15 10 5 45 50 55 60 6 / 10 The weights of 50 individuals are grouped into the following classes: Class Interval 40-50 50-60 60-70 70-80 80-90 Frequency (f) 4 6 20 10 10 If the assumed mean (A) is 65 and class width (h) is 10, what is the mean using the shortcut method? 67 66.5 65 64.5 7 / 10 For the following discrete dataset, calculate the arithmetic mean using the shortcut method. X 2 4 6 8 10 f 3 7 10 6 4 6.4 6.2 6.5 6.1 8 / 10 79 80 78 77 9 / 10 Find the harmonic mean of the following speeds (in km/hr): 40, 50, and 60. 50 48.6 49.23 47 10 / 10 Find the geometric mean of the following numbers: 3, 6, and 12. 6.6 7 6 5.8 Your score is By WordPress Quiz plugin