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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.

36,755 Questions

What are the roles of statistics in management?

Statistics is a useful tool for the leadership ( Managers, Vice Presidents, CEO , Owner of any business etc ) to make decisions.

Example

Organizations made a bar chart to see on what weekdays their employees take maximum leaves. They found that most the employees took these unscheduled leaves on a Friday or Monday or both.

This is a simple statistical study. Lets say if you have 20,000 people working with you. Doing this study manually without statistics would take a very long time and possibility of error will also be very high. With statistics it takes only a few second to make a bar chart on Microsoft Excel.

Just one glance at the chart and you see the bar on Friday or Monday or both three times higher than other weekdays. Like they say a picture is worth a thousand words.

This information can help the management to take proper measures to reduce the number of unscheduled leaves on Fridays and Mondays.

How do you explain how graphs are used and what their advantages are?

Graphs show the relationship of one quantity to another. For example, it may show how the density of a material changes when the temperature is increased, or it may show the inflation depending on time.

Vertically you show the quantity of interest (density, inflation) and horizontally what it depends on (temperature, time). You measure / look up / guess for each temperature the density, and draw a dot which is above the given temperature and to the right of the given density, and you do that for many densities.

3.8 meters equals how many decimeters?

A decimeter (dm) is 10cm, or 1/10th of a meter, so 3.8 meters is 38dm.

If there are 14 white marbles and 28 red marbles what is the probability that you would pick a white marble?

14/42. You have to add the amount of marbles and then put the probabilityof answers you're looking for.

Ex:

14 white marbles

28 red marbles

14+28=42

?/42

your looking for the probability of white marbles, so you put in the amount of white marbles on the fraction.

=14/42

Why is 2kg sample of lead denser than 10kg sample of iron?

Density is a weight per unit volume calculation.

There could be different alloys or casting methods with subtle differences in density, or temperature variations in expansion and density. However:

Every cubic centimeter of lead weighs 11.34 grams.

Every cubic centimeter of iron weighs 7.86 grams.

Thus, the density of lead (11.34 g/cc) is greater than iron (7.86 g/cc).

This is independent of the actual weight and volume of the sample.

How many 6 combination numbers in 55 numbers?

This sounds like a Lotto-Ball type question with no repetition and order does not matter. For N items, taken R at a time, C = N! / (R!*(N-R)!) = (55*54*53*52*51*50)/(6*5*4*3*2*1) = 28,989,675 {The rest of the terms in the factorials cancel in numerator/denominator} See the related MathsIsFun link.

What is an interval between two events?

It usually refers to the length of time between the the two events occurring.

How many ways to total 21 by using the digits 1 through 11?

40 possible combinations listed below

1+2+3+4+5+6

1+2+3+4+11

1+2+3+5+10

1+2+3+6+9

1+2+3+7+8

1+2+4+10

1+2+5+9

1+2+6+8

1+3+4+5+8

1+3+4+6+7

1+3+6+11

1+3+7+10

1+3+8+9

1+4+5+11

1+4+6+10

1+4+7+9

1+5+6+9

1+5+7+8

1+9+11

2+3+4+5+7

2+3+5+11

2+3+6+10

2+3+7+9

2+4+5+10

2+4+6+9

2+4+7+8

2+5+6+8

2+8+11

2+9+10

3+4+5+9

3+4+6+8

3+5+6+7

3+8+10

4+6+11

4+7+10

4+8+9

5+6+10

5+7+9

6+7+8

10+11

Can a median be found in a numerical data set?

Yes you can. But, first, you need to order the number set from least to greatest.

How do you find average acceleration?

Acceleration = (change in speed) divided by (time for the change)

How do you work out the median from an even set of numbers?

if you had these numbers; 0 1 2 3 4 5 6 7 8 9

and you crossed off all the numbers to get 4 and 5

the median would either be the number between them; 4.5

or you could say there is no median; nm

hope this helps :D