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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

How do you do a box and whisker plot that has two nunmbers as the middle?

The median is a single number. If there are an even number of observations so that there are two "middle" numbers, then the median is the arithmetic average of the two (their sum divided by 2).

What kind of basic statistical graph shows trends?

LINE GRAPHS - is a common statistical graphs for expressing trends (that is, decreases / increases and how fast / slow) over a specified period of time.

What is the probability of rolling a three or a six on a die then tossing a heads on a coin?

First event is to roll a 3 or 6 on a die, which gives you a probability of 2 out of 6.

Second event is tossing a heads on a coin, so a probability of 1 out of 2.

Since both chances are not related, you can multiply both chances:

2/6 times 1/2 = 1/6 = 0,166666...

What are the next set of numbers after 12 34 35 38 42?

Given any number it is easy to find a rule based on a polynomial of order 5+k such that the first five numbers are as listed in the question and the next k are the given "next" numbers.

However, use the rule

Un = (-6n4 + 83n3 - 411n2 + 874n - 468)/6

Accordingly, the next three numbers are 22, -71, -310

What is the probability of rolling and even number on an ordinary dice?

your set of even number x = {2,4,6}, which tells you that 3 out the 6 sides are even. Your probability is 3/6 = 1/2

What can undermine the value of using standard costing?

Imposing standard costs without communicating in an honest, candid manner will undermine much of the perceived value of such costing.

What evidence might suggest the data is approximately normally distributed or not?

If the pearson's skew is between 0.0 and 0.49, then it is a normal or non-problematic distribution. If it is above .50, then it is not a normal distribution.

In appearance:

The data should be symmtrical; the mode and median should be very close to the mean; around 65 % of the observations should be withing one standard deviation (SD) of the mean; 95% of observations with 2 SD of the mean and almost all within 3 sd.

Better evidence can be provided by the chi-square or Kolmogorov-Smirnoff goodness-of-fir tests.

There may also be evidence from the nature of the data. For example, the means of samples will be closer to being normally distributed (Central Limit Theorem) than the individual observations.