QUESTION

# I will pay for the following essay Handling Data Comparing height and weight for Mayfield High School. The essay is to be 4 pages with three to five sources, with in-text citations and a reference pag

I will pay for the following essay Handling Data Comparing height and weight for Mayfield High School. The essay is to be 4 pages with three to five sources, with in-text citations and a reference page.

Download file "Handling Data Comparing height and weight for Mayfield High School" to see previous pages...

But if I can turn this into a picture, I can then compare the boys data with the girls data.

Heights of Boys and Girls

And to compare boys and girls, I can put them both on the same graph.

It looks like more boys are taller than girls,

which I think is normal. I can do the same for weight.

Weight of Boys and Girls

And to compare the weights of boys and girls:

From the graph above it seem that boys have a weight that is more spread out. Girls seem to be closer together, and don't seem to weigh more than 74 kg. It looks like the boys also weigh more, which makes sense if their taller.

Stem and Leaf

Since I already grouped all the data, I can record it in stem and leaf diagrams. That way, I can more easily find the median and the mode.

Boys Height

Stem

Leaf

Frequency

1.30

2, 2

2

1.40

5, 8, 8

3

1.50

0, 2, 3, 4, 8

5

1.60

0, 2, 5, 5, 7

5

1.70

0, 2, 2, 4, 5

5

1.80

0, 0, 0, 2, 5, 5, 6

7

1.90

0, 1

2

2.00

0

1

The mean height is easily found by adding up all the heights and dividing by 30. Adding up all the heights comes to 50.13, and dividing by 30 gives 1.67m. I can also find the median, which should be between the 15th and 16th numbers (written in pink), so it's 1.685, which rounds to 1.69. And the mode is the number that occurs most frequently, which is 1.80 (in red).

Boys Weight

Stem

Leaf

Frequency

30

8

1

40

0, 2, 3, 4, 4, 5, 7, 8

8

50

0, 2, 4, 6, 6, 7, 8, 9

8

60

2, 4, 6, 6, 8, 9

6

70

0, 2, 2, 3

4

80

0, 2, 6

3

90

0

I can get the mean, median and mode for boys weights the same way. The mean is the addition of all the weights divided by 30, which means 1763/30 or 58.767, which rounds to 58.8kg. The median is between the 15th and 16th numbers which is 57.5kg. There are 4 modes: 44, 56, 66, and 72.

Girls...

I can also see that boys tend to be taller than girls. But if I can turn this into a picture, I can then compare the boys data with the girls data.

From the graph above it seem that boys have a weight that is more spread out. Girls seem to be closer together, and don't seem to weigh more than 74 kg. It looks like the boys also weigh more, which makes sense if their taller.

The mean height is easily found by adding up all the heights and dividing by 30. Adding up all the heights comes to 50.13, and dividing by 30 gives 1.67m. I can also find the median, which should be between the 15th and 16th numbers (written in pink), so it's 1.685, which rounds to 1.69. And the mode is the number that occurs most frequently, which is 1.80 (in red).

I can get the mean, median and mode for boys weights the same way. The mean is the addition of all the weights divided by 30, which means 1763/30 or 58.767, which rounds to 58.8kg. The median is between the 15th and 16th numbers which is 57.5kg. There are 4 modes: 44, 56, 66, and 72.

The range that holds the mode for boys and girls is the same in both cases. This is probably because boys height is more spread out than girls. It could also be because there is a mistake in the sampling.

Since there are more than one mode for boys weight, there's not a lot I can so about it.