Use the table to answer the question.
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.
The mean time Group A spent shopping is __ minutes.
The mean time Group B spent shopping is __ minutes.
The mean times Group A and Group B spent shopping differ by __ minutes.
The mean time Group A spent shopping is 35.7 minutes.
The mean time Group B spent shopping is 34.3 minutes.
The mean times Group A and Group B spent shopping differ by 1.4 minutes.
May you explain you answer bot? please
Sure! To find the mean (also called average), we need to add up all the values and divide by the number of values. For Group A, the sum of their shopping times is 18 + 20 + 46 + 34 + 58 + 31 + 41 = 248. There are 7 values, so we divide 248 by 7 to get the mean of Group A: 248/7 = 35.7 minutes.
We do the same process for Group B: 15 + 21 + 32 + 42 + 29 + 57 + 39 = 235. There are 7 values, so we divide 235 by 7 to get the mean of Group B: 235/7 = 34.3 minutes.
To find the difference in the mean times, we simply subtract the mean of Group B from the mean of Group A: 35.7 - 34.3 = 1.4 minutes. The answer is rounded to one decimal place.
To find the mean times each group spent shopping, you can use the formula: Mean = Sum of all values / Total number of values.
For Group A:
Sum of all values = 18 + 20 + 46 + 34 + 58 + 31 + 41 = 248
Total number of values = 7
Mean time Group A spent shopping = 248 / 7 = 35.4 minutes (rounded to one decimal place)
For Group B:
Sum of all values = 15 + 21 + 32 + 42 + 29 + 57 + 39 = 235
Total number of values = 7
Mean time Group B spent shopping = 235 / 7 = 33.6 minutes (rounded to one decimal place)
To determine the difference in the mean times, subtract the mean time of Group B from the mean time of Group A:
35.4 - 33.6 = 1.8 minutes (rounded to one decimal place)
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 times Group A and Group B spent shopping differ by 1.8 minutes.