Answer :
To find the difference between the mean weights of the boys and girls from the dot plot, you need to follow these steps:
Identify the Weights of Each Group: First, separate the weights shown on the dot plot into those for boys and those for girls. Each dot represents a patient, and you'll count how many dots fall into each weight category for both boys and girls.
Calculate the Total Weight and Count for Each Group:
- Multiply the number of dots by their corresponding weight for each group. Add all these results to get the total weight for boys and the total weight for girls.
- Count the total number of dots for boys and for girls to find the number of patients in each group.
Calculate the Mean Weight for Each Group:
- Mean weight for boys = (Total weight of boys)/(Number of boys)
- Mean weight for girls = (Total weight of girls)/(Number of girls)
Find the Difference Between the Mean Weights:
- Subtract the mean weight of the girls from the mean weight of the boys to find the difference.
Here's an example calculation to illustrate:
Suppose you found:
- For boys: Total weight is 660 pounds with 6 patients.
- For girls: Total weight is 630 pounds with 6 patients.
The mean weight of the boys is [tex]\frac{660}{6} = 110[/tex] lbs.
The mean weight of the girls is [tex]\frac{630}{6} = 105[/tex] lbs.
Finally, the difference between the mean weights is [tex]110 - 105 = 5[/tex] lbs.
So, in this example, the difference between the mean weights of the boys and girls is 5 lbs. You'll need to adjust the numbers based on your specific dot plot data.
