Suppose the modified quota is 7.47. Fill in the blanks, and round your answers to two decimal places.
(a) Find the lower quota.
(b) Find the upper quota.
(c) Find the arithmetic mean of the lower and upper quotas.
(d) Find the geometric mean of the lower and upper quotas.
(e) Round the given modified quota by comparing it with the arithmetic mean.
(f) Round the given modified quota by comparing it with the geometric mean.
(a) To find the lower quota, we need to round down the modified quota. In this case, the modified quota is 7.47, so rounding it down to two decimal places gives us the lower quota of 7.47.
(b) To find the upper quota, we need to round up the modified quota. In this case, the modified quota is 7.47, so rounding it up to two decimal places gives us the upper quota of 7.48.
(c) To find the arithmetic mean of the lower and upper quotas, we add them together and divide by 2. In this case, the lower quota is 7.47 and the upper quota is 7.48. Adding them together gives us 14.95, and dividing by 2 gives us an arithmetic mean of 7.475.
(d) To find the geometric mean of the lower and upper quotas, we multiply them together and then take the square root. In this case, the lower quota is 7.47 and the upper quota is 7.48. Multiplying them together gives us 55.9836, and taking the square root gives us a geometric mean of approximately 7.48 (rounded to two decimal places).
(e) To round the given modified quota by comparing it with the arithmetic mean, we compare it to the arithmetic mean of 7.475. Since the modified quota (7.47) is less than the arithmetic mean (7.475), we round it down to two decimal places. Therefore, the rounded value of the modified quota is 7.47.
(f) To round the given modified quota by comparing it with the geometric mean, we compare it to the geometric mean of 7.48. Since the modified quota (7.47) is less than the geometric mean (7.48), we round it down to two decimal places. Therefore, the rounded value of the modified quota is 7.47.