Group a : 18,20,46,34,58,31,41
Group b : 15,21,32,42,29,57,39
The table shows the times, in minutes, spent shopping by two different groups. First find the mean times each group spent shopping. Then determine the difference in the mean times.
Round your answers to one decimal place. (2 points)
The mean time Group A spent shopping is ___ minutes
The mean time Group B spent shopping is ___ minutes
The mean time Group A and Group B spent shopping differ by ___ minutes
To find the mean times each group spent shopping, we will sum up the numbers in each group and then divide by the total number of values in the group.
For Group A:
Mean time = (18 + 20 + 46 + 34 + 58 + 31 + 41) / 7
Mean time = 248 / 7
Mean time ≈ 35.4 minutes
For Group B:
Mean time = (15 + 21 + 32 + 42 + 29 + 57 + 39) / 7
Mean time = 235 / 7
Mean time ≈ 33.6 minutes
To find the difference in mean times, we subtract the mean time of Group B from the mean time of Group A:
Difference = Mean time of Group A - Mean time of Group B
Difference ≈ 35.4 - 33.6
Difference ≈ 1.8 minutes
Therefore:
The mean time Group A spent shopping is 35.4 minutes.
The mean time Group B spent shopping is 33.6 minutes.
The mean time Group A and Group B spent shopping differ by 1.8 minutes.