Question

Use da table 2 answer da question

Dis table displays da shopping time taken by group A and group B 4 comparison

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

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

Da table shows da times, in minutes, spent shopping, by 2 different groups. First find da mean times each group sent shopping, Den determine da difference in da mean times round ur answer 2 1 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

Answer 1

To find the mean shopping time for each group, you can use the following formula for the mean:

\[
\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}
\]

**For Group A:**
- Shopping times: 18, 20, 46, 34, 58, 31, 41
- Sum of times = 18 + 20 + 46 + 34 + 58 + 31 + 41 = 248
- Number of values = 7

\[
\text{Mean for Group A} = \frac{248}{7} \approx 35.43 \text{ minutes}
\]

**For Group B:**
- Shopping times: 15, 21, 32, 42, 29, 57, 39
- Sum of times = 15 + 21 + 32 + 42 + 29 + 57 + 39 = 235
- Number of values = 7

\[
\text{Mean for Group B} = \frac{235}{7} \approx 33.57 \text{ minutes}
\]

**Determine the difference in mean times:**

\[
\text{Difference} = \text{Mean of Group A} - \text{Mean of Group B} = 35.43 - 33.57 \approx 1.86 \text{ minutes}
\]

**Final answers:**

The mean time group A spent shopping is **35.4 minutes** (rounded to 1 decimal place).

The mean time group B spent shopping is **33.6 minutes** (rounded to 1 decimal place).

The mean times group A and group B spent shopping differ by **1.9 minutes** (rounded to 1 decimal place).