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• Level: GCSE
• Subject: Maths
• Word count: 2406

# Guesstiamte - investigating whether men or women between the ages of 15-25 are better at guessing the length of a line and the size of an angle.

Extracts from this document...

Introduction

Introduction

I will be investigating whether men or women between the ages of 15-25 are better at guessing the length of a line and the size of an angle.

e

Hypothesis

I think that men will guess more accurately then women as men usually work in jobs that would require them to use measuring equipment. Men are also more technical. I have restricted my ages to between 15 and 25 so I am comparing like with like.

Plan

1. Design a questionnaire asking the age, sex and guesstimate of the length of a line and the size of an angle.
2. Gather data from the questionnaire.
3. Take a stratified sample from the data.
4. Randomly choose the stratified sample from the data.
5. Work out the mean, median, mode and range averages from the results of the data.
6. Do frequency tables, followed by frequency polygons.
7. Do cumulative frequencies followed by box plots.
8. Do a standard deviation.
9. Conclude my findings and refer back to my hypothesis.

Throughout this investigation I will analyse my findings.

Questionnaire

1. Circle which gender category best describes you.

Male               Female

1. Circle what age category best describes you

15 – 20                 21 – 25

In centimetres and to no more than one decimal point please guestimate the length of the line.

…………………..cm

In degrees please guesstimate the size of the angle

……………………..degrees

Middle

7< x ≤8

0

16

8< x ≤9

0

16

9< x 10

0

16

10< x ≤11

0

16

11< x ≤12

ll

2

18

Women –Lines

 Line cm Tally Frequency Cumulative frequency 3< x ≤4 llll 4 4 4< x ≤5 llll lll 8 12

Men – Angles

 Angle ° Tally Frequency Cumulative frequency 25< x ≤30 l 1 1 30< x ≤35 l 1 2 35< x ≤40 ll 2 4 40< x ≤45 llll llll 10 14 45< x ≤50 l 1 15 50< x ≤55 0 15 55< x ≤60 1 16 60< x ≤65 0 16 65< x ≤70 0 16 70< x ≤75 0 16 75< x ≤80 0 16 80< x ≤85 0 16 85< x ≤90 l 2 18

Women –Angles

 Angle Tally Frequency Cumulative frequency 20< x ≤25 l 1 1 25< x ≤30 0 1 30< x ≤35 l 1 2 35< x ≤40 ll 2 4 40< x ≤45 llll lll 8 12

Analysis Of Frequency polygons

The frequency polygon for the line estimates show that women guesstimated more accurately than men. Four women underestimated while seven men underestimated. Seven men guessed correctly while eight women guessed correctly. Four men overestimated while no women overestimated. This shows that although most of the men guessed correctly, as did most women, the men’s range is much greater due to just four anomalous overestimations.

22.2% of men overestimated, almost a quarter.

38.9% of men guessed correctly.

38.9% of men underestimated.

33.3% of women underestimated.

66.7% of women guessed correctly.

The frequency polygon for the angle estimates show that two women underestimated and two men underestimated. Two women guessed correctly and two men guessed correctly. Eight women overestimated and fourteen men overestimated.

66.7% of women overestimated

16.7% of women guessed correctly.

16.7% of women underestimated

77.

Conclusion

## Standard deviations were used to show the results more clearly.

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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