Ask a New Question
Menu

Use the table to answer the question.

This table displays the shopping time taken by Group A and Group B for comparison.
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 times Group A and Group B spent shopping differ by
minutes.

1 answer

To find the mean time spent shopping by each group, we will first calculate the sum of the shopping times for each group and then divide by the number of entries in each group.

Group A times: 18, 20, 46, 34, 58, 31, 41
Group B times: 15, 21, 32, 42, 29, 57, 39

Step 1: Calculate the mean for Group A

  1. Find the sum of Group A: \[ 18 + 20 + 46 + 34 + 58 + 31 + 41 = 248 \]
  2. Count the number of times in Group A: \[ 7 \]
  3. Calculate the mean for Group A: \[ \text{Mean}_A = \frac{248}{7} \approx 35.4 \]

Step 2: Calculate the mean for Group B

  1. Find the sum of Group B: \[ 15 + 21 + 32 + 42 + 29 + 57 + 39 = 235 \]
  2. Count the number of times in Group B: \[ 7 \]
  3. Calculate the mean for Group B: \[ \text{Mean}_B = \frac{235}{7} \approx 33.6 \]

Step 3: Determine the difference in mean times

  1. Calculate the difference: \[ \text{Difference} = \text{Mean}_A - \text{Mean}_B \approx 35.4 - 33.6 = 1.8 \]

Summary

  • 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.