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 times for both groups, we can use the formula for the mean, which is the sum of all values divided by the number of values.

Group A: Values: 18, 20, 46, 34, 58, 31, 41

  1. Calculate the sum: \( 18 + 20 + 46 + 34 + 58 + 31 + 41 = 248 \)

  2. Count the number of values: There are 7 values.

  3. Calculate the mean: \[ \text{Mean for Group A} = \frac{248}{7} \approx 35.4 \text{ minutes} \]

Group B: Values: 15, 21, 32, 42, 29, 57, 39

  1. Calculate the sum: \( 15 + 21 + 32 + 42 + 29 + 57 + 39 = 235 \)

  2. Count the number of values: There are 7 values.

  3. Calculate the mean: \[ \text{Mean for Group B} = \frac{235}{7} \approx 33.6 \text{ minutes} \]

Difference in Mean Times: To find the difference in the mean times: \[ \text{Difference} = \text{Mean for Group A} - \text{Mean for Group B} = 35.4 - 33.6 = 1.8 \text{ minutes} \]

Final Answers:

  • 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.