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Saturday, June 23, 2007
00:18
ohh mann i'm being random i realise this blog is kind of useful cos i can dump my stuff which i'm going to delete here and it will stay on forever in the nice nice wide universe of the internet world instead of staying put in my limited space storage in my comp which hinders the comp speed tskkk ((:
Two types of coffee, P and Q, are blended in the ratio 3:13 by weight to form a standard blend X. A second standard blend Y, is formed by blending type P coffee, type Q coffee and type R coffee in the ratio 1:7:12 by weight. Calculate
a) the weight of each type of coffee in 800g of X;
b) the weights of type of P coffee and type R coffee in 800g of Y;
c) the ratio of the three types of coffee in a third standard blend Z, formed by mixing equal weights of X and Y;
d) the weight of type P coffee in 800g of Z.
The following are some of the main ways of misusing statistics.
1. Choose an unfair sample
Suppose you wished to prove that everyone is in favour of gambling. One way to achieve this is only to interview people walking out of a betting shop.
2. Distort the true meaning
Suppose a poll was taken which found that 60% of people liked a certain politician and 40% of people hated her. An unfair headline in the newspaper would be:
“40% of people hate Ms X”
3. Use an unfair scale on a graph
The following two graphs show the same information.
Which graph indicates a greater improvement? Look at the scales used.
4. Choose a small sample
Suppose 4 people were asked whether they liked politicians and 3 of them said that they didn’t. An unfair conclusion would be:
“Three out of every four people hate politicians.”
5. Inflated drawing
Suppose a company doubled its sales of cans. The following is an unfair representation of this.
Sales 2001
Sales 2002
What does doubling the diameter and height do to the volume?
6. Choose an unfair measure of the centre
Suppose the annual incomes of five plumbers were:
$20 000 $25 000 $20 000 $70 000 $20 000
Here the fair measure to use is the mode, since nearly all the plumbers earn
$20 000. It would be unfair to quote the mean as it is not a good description of the data.
Two types of coffee, P and Q, are blended in the ratio 3:13 by weight to form a standard blend X. A second standard blend Y, is formed by blending type P coffee, type Q coffee and type R coffee in the ratio 1:7:12 by weight. Calculate
a) the weight of each type of coffee in 800g of X;
b) the weights of type of P coffee and type R coffee in 800g of Y;
c) the ratio of the three types of coffee in a third standard blend Z, formed by mixing equal weights of X and Y;
d) the weight of type P coffee in 800g of Z.
The following are some of the main ways of misusing statistics.
1. Choose an unfair sample
Suppose you wished to prove that everyone is in favour of gambling. One way to achieve this is only to interview people walking out of a betting shop.
2. Distort the true meaning
Suppose a poll was taken which found that 60% of people liked a certain politician and 40% of people hated her. An unfair headline in the newspaper would be:
“40% of people hate Ms X”
3. Use an unfair scale on a graph
The following two graphs show the same information.
Which graph indicates a greater improvement? Look at the scales used.
4. Choose a small sample
Suppose 4 people were asked whether they liked politicians and 3 of them said that they didn’t. An unfair conclusion would be:
“Three out of every four people hate politicians.”
5. Inflated drawing
Suppose a company doubled its sales of cans. The following is an unfair representation of this.
Sales 2001
Sales 2002
What does doubling the diameter and height do to the volume?
6. Choose an unfair measure of the centre
Suppose the annual incomes of five plumbers were:
$20 000 $25 000 $20 000 $70 000 $20 000
Here the fair measure to use is the mode, since nearly all the plumbers earn
$20 000. It would be unfair to quote the mean as it is not a good description of the data.