Question

The randomly selected delivery times in minutes of two restaurants are as follows which restaurant has more consistent delivery times

Answer 1

[AI-generated answer — Bot GPT 3.5]

Restaurant A: 25, 30, 27, 29, 26

Restaurant B: 20, 35, 22, 32, 18

To determine which restaurant has more consistent delivery times, we can calculate the standard deviation of the delivery times for each restaurant. The standard deviation measures how spread out the values are from the mean.

For Restaurant A:
Mean = (25 + 30 + 27 + 29 + 26) / 5 = 27.4
Calculate the squared differences from the mean:
(25-27.4)^2 = 6.76
(30-27.4)^2 = 6.76
(27-27.4)^2 = 0.16
(29-27.4)^2 = 2.56
(26-27.4)^2 = 1.96
Calculate the average of the squared differences:
(6.76 + 6.76 + 0.16 + 2.56 + 1.96) / 5 = 3.64
Calculate the square root of the average squared differences:
√3.64 = 1.90

For Restaurant B:
Mean = (20 + 35 + 22 + 32 + 18) / 5 = 25.4
Calculate the squared differences from the mean:
(20-25.4)^2 = 28.09
(35-25.4)^2 = 91.24
(22-25.4)^2 = 11.56
(32-25.4)^2 = 43.24
(18-25.4)^2 = 54.76
Calculate the average of the squared differences:
(28.09 + 91.24 + 11.56 + 43.24 + 54.76) / 5 = 45.78
Calculate the square root of the average squared differences:
√45.78 = 6.77

Based on the standard deviations calculated above, Restaurant A has a standard deviation of 1.90, indicating that its delivery times are more consistent compared to Restaurant B, which has a standard deviation of 6.77. Therefore, Restaurant A has more consistent delivery times.