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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.

500 Questions

Name and define the two areas of statistics?

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Descriptive and Inferential:

Descriptive statistics describe the data set.

Inferential statistics use the data to draw conclusions about the population.

What fractions are closest to one whole?

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No matter what fraction one gives, there is one closer. There is no answer to this question.

Is 0.021 greater than 0.01?

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is 0.021 greater than 0.05

Why surveys and polls are good examples of finding probabilities?

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because they can help you find your right answer

What is the median for these numbers 90 91 92 93 94 95 96 97 98 99 100?

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90, 91,92,93,94,95,96,97,98,99,100.

There are eleven terms. To find the median, you take the absolute middle term.

The absolute middle term is '95'.

NB You will notice that there are five terms to the left of 95, and five terms to the right of 95.

A data set consists of 145 observations that range from 56 to 490 What size class interval?

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The naive answer to the question is 30. That assumes that the observations are more or less uniformly distributed across the range and, if that is the case, you should get around 5 observations per class.

It also assumes that your interest in the observations is uniform: you are as interested in values near 60 as you are in values near 480. If you were only really interested in values above 450, you could class all of 56 to 449 in one big class and split the rest into smaller classes.

It is also important to see if the distribution is uniform. If it is skewed in either direction, it would make more sense to have smaller classes where the observations were more dense and wider classes where they were sparse.

What times 3 equals 36?

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12 x 3 = 36

What are all the combinations for a 3 number lock?

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All the numbers from 000 to 999 (inclusive).

Why t-distributions tend to be flatter and more spread out than normal distribution?

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T-distributions tend to be flatter and more spread out than normal distributions due to their heavier tails. Unlike the normal distribution, which has thin tails, t-distributions account for uncertainty in sample variance estimation, making them more robust for smaller sample sizes. The additional variability inherent in t-distributions arises from the incorporation of the sample size through the degrees of freedom parameter. As the degrees of freedom decrease, the t-distribution becomes more spread out and flatter, reflecting increased uncertainty and variability in the estimates. This property makes t-distributions well-suited for inferential statistics, particularly when dealing with small sample sizes.

What is the probability of a number less than 6 on the number cube followed by a number equal to 6 on the spinner?

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The probability is

(5 times the number of 6s on the spinner/6 timesthe total number of different positions on the spinner)

How many combinations of 6 numbers are there in 10 numbers?

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The answer is 10!/[6!*(10-6)!] where n! represents 1*2*3*...*n

Number of combinations = 10*9*8*7*6*5*4*3*2*1/(6*5*4*3*2*1*4*3*2*1)

= 10*9*8*7/(4*3*2*1) = 210

What is the range median mode mean of 72 93 57 72 46 68?

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First of all place the numbers in rank order. Hence

46,57,68,72,72,93.

RANGE; is the difference between the highest and lowest numbers, which is 93-46 = 47

MEDIAN: is the absolute mid-point. Since there is no absolute mid-point, we take the two middle numbers , add them and divide by '2'. Hence. ( 68+72)/2 = 70

MODE: is the term that occurs most frequently. In this case '72'. as there are two of them , but only one each of the other terms.

MEAN; Add all the terms and divide by the number of terms.

(46+57+68+72+72+93) / 6 = 408/6 = 68

Whats the square root of 900?

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sqrt(900) = +/- 30

Remember , the inverse route.

30^2 = 30 x 30 = 900

or

(-30)^2 = -30 x -30 = (+)900

PH is it a quantitative or qualitative?

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PH is a number, so it is quantitative.

What is a non example of independent variable?

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dependent variable

How many 9 digit combinations can be made from the numbers 123456789?

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If the numbers are not allowed to repeat themselves then 362,880.

* * * * *

That is the number of permutations, not combinations.

In a combination the order of the digits does not matter. So there is only one 9-digit combination.