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• Level: GCSE
• Subject: Maths
• Word count: 1752

Analysing data between height and weight in girls and boys.

Extracts from this document...

Introduction

In my first investigation, I will be analysing data between height and weight in girls and boys. I will also use this data to compare the results between boys and girls as well. I will use a variety of graphs to show this.

PREDICTIONS

I predict that as the heights increase, so will the weights. This is because logically, the bigger you are, the heavier you are. I predict graph will show a positive correlation and generally, boys will be heavier and taller than girls.

I predict that both of the graphs will look like this, showing a positive correlation:

DATA SAMPLE

The data took was STRATIFIED. This meant that the data was the right proportion from each year. I took 60 pieces of data, 30 boys and 30 girls I divided the graphs as you can see to boys and girls. Then I combined the graphs so that the appropriate analysis could be carried out.

Year Group                 Boys                    Girls              Total No Of Pupils

7                                151                         131                              282

8                                145                         125                              270

9                                118                         143                              261

10                              106                          94                               200

11                               84                           86                               170

Total                         604                         579                              1183

Stratified sample of boys

Yr7     151/604 x 30 = 8  (7.50) boys

Yr8     145/604 x 30 = 7  (7.2)    boys

Yr 9    118/604 x 30 = 6  (5.8)  boys

Yr 10  106/604 x 30 = 5  (5.2)    boys

Yr 11  84/604 x 30   = 4 (4.1)      boys

Total=                           30

This investigation took data, which was quantitative continuous data which meant it was data which had infinite decimal places and had a numerical value, like heights and weights.

Middle

41-45                5                    6

46-50                4                    10

51-55                7                    17

56-60                2                    19

61-65                7                    26

66-70                2                    28

71-75                1                    29

76-80                0                    29

81-85                1                    30

GIRLS

Year Group                 Boys                    Girls              Total No Of Pupils

7                                151                         131                              282

8                                145                         125                              270

9                                118                         143                              261

10                              106                          94                               200

11                               84                           86                               170

Total                         604                         579                              1183

Stratified sample

Yr 7    131/579 x 30 = 7  (6.7)  Girls

Yr 8    125/579 x 30 = 6  (.4)    Girls

Yr 9    143/579 x 30 = 7  (.4)    Girls

Yr 10  94/579 x 30  =  5  (4.8)  Girls

Yr 11  86/579 x 30  =  5  (4.8)  Girls

Height  cm   Frequency   Cumulative frequency

120-125            0                    0

126-130            1                    1

131-135            1                    2

136-140            0                    2

141-145            2                    4

146-150            3                    7

151-155            6                    13

156-160            7                    20

161-165            5                    25

166-170            0                    25

171-175            3                    28

176-180            2                    30

Conclusion

The UQ of the boys is slightly higher though, and more further across on the box and whisker plot. This is because the boys have bigger weights ( as they are taller than girls and more muscular )

Last of all, the box of the boys is wider than the girls; this indicates and confirms that the boy’s ranges of weight results are bigger. The results are more widespread.

The IQ range and box and whisker had shown me the range of the middle 50% of results. So in order to find the 100% range, I used something called STANDARD DEVIATION. This told me the entire spread of results. As you can see from the working out (in the results section) I followed the formula for both boys and girls, for height and weight. For heights the boys I got 0.300 and the girls, 0.307. The Girls value was slightly higher so this told me they had a bigger spread. This was interesting, considering that the IQ range of the boys was higher than the girls.

For weights, the boys had got 9.83 while girls had got 11.0. So this told me that the girls had a bigger spread, for weights, this was interesting as you would think boys would have a larger spread of weights as they had a larger spread of heights.

In the end my predictions were correct.

CONCLUSION

• As height increase’s so does weight
• Boys have bigger weights and heights than girls
• Girls have a larger spread of results for weights
• Boys have a larger spread of results for heights

This student written piece of work is one of many that can be found in our GCSE Height and Weight of Pupils and other Mayfield High School investigations section.

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