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.

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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.

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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

The questionnaire is to the point, gathers all the information it needs and is not intrusive. Random questions are not needed for this investigation. The actual size of the angle is 38° and the actual length of the line is 4.5cm.

Sample.

81 people answered my questionnaire; 49 males and 32 females. I used 30 of these people as any less would be insignificant. To make it a fair investigation I took a stratified sample. A stratified sample was used as this is more efficient and can guard against an unrepresentative sample, ensuring better coverage than simple random sampling.

To obtain a stratified sample I used the method below.

Men                    49 ÷ 81 × 30 = 18

Join now!

Women            32 ÷ 81 × 30 = 12

I randomly chose 18 men and 12 women from the list using the Ran# function on the calculator.

Ran# × 81 then press =

Random Results tables

Women                                                     

Men

Averages

The mean average is found ...

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