Suppose I took a survey of 100 men and 100 women and asked them \"what\'s the fa

Question

Suppose I took a survey of 100 men and 100 women and asked them "what's the fastest you've ever driven a car?".

Below are the results:

Now from these two lists you may be able to discern which sex tends to drive faster but you could tell me by how much? Probably not. Notice how useless data is in it's raw form. You can't really make much sense of it. Even if the numbers were presented in order it would still be difficult to compare the two groups with any semblance of accuracy.

Your task for this chapter's discussion is this: Describe to me how you could begin to make sense of these two data sets.

Now this is a pretty wide open question so for a hint I'll just remind you of the "chapter 2" context. Also if you're far enough into chapter 3 you could use some of the topics discussed there to make even more sense of these two data sets.

Explanation / Answer

Step 1:

Given two different sets of raw data for each 100 Nos, of data on the fastest speed by men and women:

First form two different Frequency Distributions : one for men and another for women.

Step 2:

The two Frequency Distributions can now be graphically represented in the form of two different (i) Histograms, (ii) Frequency Polygon, (iii) Frequency Curve, (iv) Bar Chart and (v) Pie chart.

From the graphical representation, we can get idea of how the two distributions: for men and women, are situated: whether they are symmetrical, positively skewed, negatively skewed

Step 3: Obtain the measures of Central Tendency like: mean , median and mode seperately for men and women. This will give information who is faster; men or women

Step 4: Obtain the meansures of Variation like Range, Variance and Standard Deviation. This will give idea whose valies are spread more: men or women.

Step 5 : Obtain the measures of Skewness. This will give information on whether the two distributions are symetrical or positively skewed or negatively skewed

Step 6: Obtain the measures of Kurtosis: This will give idea whether the distributions are Leptokurtic, Mesokurtic or Platikurtic

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