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Statistics

Statistics deals with collecting, organizing, and interpreting numerical data. An important aspect of statistics is the analysis of population characteristics inferred from sampling.

36,756 Questions

What is meant by absolute measure?

It is the value without considering the symbols. ie, the negative or positive symbols of the value

What is the probabilitly of rolling a 4 on a 10-sided dice?

The probability is (0.1) times (the number of faces with '4' marked on them).

What is mode of a set?

If referring to a set of individual integers, the mode would be the integer which occurs most often.

What is the relevance of probability and statistics in the field of information technology?

In the field of IT you are dealing with probabilities all day long. How long will the hardware last, how can you keep the signal for the network strong all over the building, how will adding a new group of computers impact the network, or heaven forbid your network come under attack and you need to keep damage to a minimum while fending off the attack. IT professionals think in probabilities. They're always running scenarios through their heads to come up with and fix problems before they occur.

How many 5 digit numbers exist such that the product of their digits is 400?

120.

First factorising 400 gives: 400 = 24 x 52

So the 5 digit number must contain two 5s and the other three digits must multiply together to give 16, namely: 1, 2 & 8; 1, 4 & 4 or 2, 2 & 4

When selecting from 5 digits, they can be arranged in 5! = 5 x 4 x 3 x 2 x 1 = 120 different ways. However, some of the digits are indistinguishable (eg the two 5s can swap places and the number is the same), so when this happens, the total number of ways needs to be divided by the number of ways the indistinguishable numbers can be arranged.

Two digits can be arranged in 2! = 2 x 1 = 2 ways.

So the 5 digit number can contain:

  • 1, 2, 8, 5, 5
There a two indistinguishable digits (the two 5s) and so there are

120 ÷ 2 = 60

possible numbers here

  • 1, 4, 4, 5, 5
There are two pairs of indistinguishable digits (the two 4s and the two 5s), so there are:

(120 ÷ 2) ÷ 2 = 30

possible numbers here

  • 2, 2, 4, 5 ,5
There are two pairs of indistinguishable digits (the two 2s and the two 5s), so there are:

(120 ÷ 2) ÷ 2 = 30

possible numbers here

So the total number of possible numbers is 60 + 30 + 30 = 120.

What is the HCF of14 and 42?

To find the HCF of two numbers you first have to write them as their prime factors:

14 = 2x7

42 = 2x3x7

The next step is to identify any common prime factors. In this case both numbers have a 2 and a 7 as prime factors. Multiply these together and you get:

2x7 = 14

Thus the HCF of 14 and 42 is 14.

What is mean in data handling?

the "mean" is the "average" you're used to, where you add up all the numbers and then divide by the total number of numbers

Flip a coin 10 times tails on the 10th?

The result of the tenth toss is usually independent of the previous nine so the probability is 0.5.

What is Australia's Infant mortality rate?

According to the World Health Organisation, the under-five mortality rate per 1000 live births in 2015 for Australia was 3.8