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  • Level: GCSE
  • Subject: Maths
  • Word count: 1473

Average height and weight investigation

Extracts from this document...

Introduction

Investigating Data – Mansfield High School.

The first thing that I' am going to do is isolate the data of the year 7 males in order to find the average height and weight of them. There is a total of 151 boys in year 7, however it would consume too much time to find an average using so many students, therefore I' am going to use a sample. The sample which I have decided to use is called “Systematic sampling”, this is where every 4th or 10th (or any other number) is taken from a list of the target population. For Example, if your target population is every child in a school, consisting of 500 pupils and you require 25, then you can use every 20th child. However on this occasion my target population is the height and weight of the boys in year 7, there area total of 151 boys in year 7 and I have decided to select every 7th. I' am going

...read more.

Middle

1.51

1.44

1.49

1.61

1.5

1.45

1.65

1.59

1.65

1.49

1.48

____

29

____

I then divided the answer (29) by the number of items of data (19)

29

___

              = 1.526315789

19                 (1.53)

I then decided to find the median, which is simply the middle item of data. To find the median I wrote the items of data in numerical.

I then noticed that 1.50 was the median, simply because it was in the middle.

As the appropriate items of data are now in numerical order, it would be idea to find the range, which is one single number and it's the difference between the lowest and highest value of the data. The lowest item of data being 1.36, and the highest being 1,73, therefore -

1.73

1.36

____

0.37

____           Range = 0.37

I then worked out the average weight of the boys in year 7 who were on the ample. I initially decided to work out the “mean” average. Firstly I took the weights of the boys in year 7 who were on the sample and added them all together -

44

41

45

53

32

48

33

50

45

42

47

56

51

31

51

47

46

35

40

___

836

___

I then divided the answer (836) by the number of items of data (19)

836

___    = 44

19

...read more.

Conclusion

therefore -

1.75

1.30

____

0.45    

____    Range = 45

I then worked out the average weight of the girls in year 7 who were on the sample. I initially decided to work out the “mean” average.

Firstly I took the weight of the girls in year 7 who were on the sample and added them all together -

53

45

39

38

40

50

45

36

51

44

45

34

38

40

52

37

57

47

40

____

831

___

I then divided the answer (831) by the number of items of data (19)

831

___  = 43.73684211

19

I then decided to find the “median” average, therefore I wrote the items of data in numerical order.

I then noticed that 44 was the median, as it was in the middle.

Next, I decided to find the range -

Highest item of dara – 57

Lowest item of data – 34

therefore -

57

34

__

23

__   Range = 23

I then decided to find the mode. To find the mode, I drew a stem and leaf diagram as I feel this is the most convenient method if identifying the “mode” - (most often occuring item of data).

The following stem and leaf diagram shows the weights of the girls in year 7 who were on the sample -

Weight  | Frequency

              |

     30     | 986487

     40     | 50545070

     50     | 30127

              |

After observing my stem and leaf diagram I came to the conclusion that there are 2 “modes” which are “40” and “45”.

...read more.

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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