The randomly selected delivery times, in minutes, of two restaurants are as follows. Which restaurant has more consistent delivery times?
Restaurant 1 Restaurant 2
40
37
40
41
38
46
41
37
40
42
38
37
39
38
40
42
41
40
To determine which restaurant has more consistent delivery times, we can calculate the standard deviation for both sets of delivery times.
For Restaurant 1:
Mean = (40+37+40+41+38+46+41+37+40+42+38+37+39+38+40+42+41+40) / 18 = 39.722
Standard deviation = sqrt(((40-39.722)^2 + (37-39.722)^2 + ... + (40-39.722)^2) / 18) ≈ 1.563
For Restaurant 2:
Mean = (40+37+40+41+38+46+41+37+40+42+38+37+39+38+40+42+41+40) / 18 = 39.722
Standard deviation = sqrt(((39-39.722)^2 + (38-39.722)^2 + ... + (40-39.722)^2) / 18) ≈ 1.563
Both restaurants have a standard deviation of approximately 1.563, so they have the same level of consistency in their delivery times.