Statistics

IMPORTANCE OF STUDING STATISTICS IN GEOGRAPHY.

In recent years, statistics has occupied a dominant place in society. In the light of its significance, its scope as well as importance highlighted

Importance in Defense and War:

Statistical tools are very useful in the fields of defense and war because it helps to compare the military strength of different countries in terms of man power, tanks, war-aeroplanes, missiles etc. Moreover, it helps in planning future military strategy of the country. It helps to estimate the loss due to war. It helps to arrange the war finance.

Statistics and Economic Planning:

Modern age is the age of planning and without statistics planning is inconceivable. The days of laissez faire had gone and state intervention in every walk of life has become universal in character. Our future depends on proper planning. Thus, planning is only successful on accurate analysis of complex statistical data.

In India, the various plans that have been prepared or implemented, planners have made use of statistical data. Moreover, in our country, National Sample Survey Scheme was introduced to collect the statistical data for the use of planning. Statistical apparatus are employed not only to construct the plans but the success of every plan is judged by the use of statistical tools.

Statistics and State:

Statistics are the eyes of state as they help in administration. In the ancient times, the ruling kings and chiefs have to rely heavily on statistics to frame suitable military and fiscal policies. Similarly, modern states make tremendous use of statistical tools on various problems.

Before, implementing any policy, a state has to examine its pros and cons. For instance, before suggesting any remedial measures of the evil of crime, the state requires to make a deep statistical investigation of the problem.

Similarly, state conducts the population census to estimate the figures of national income and the prosperity of the country. In this way, state is the most single unit which not only collects the largest amount of statistics but also needs statistics on a very extensive scale.

statistics may only have valid interpretations for the area and subarea configuration over which they are calculated.

Boundary delineation

The location of a study area boundary and the positioning of internal boundaries affect various descriptive statistics. With respect to measures such as the mean or standard deviation, the study area size alone may have large implications; consider a study of per capita income within a city, if confined to the inner city, income levels are likely to be lower because of a less affluent population, if expanded to include the suburbs or surrounding communities, income levels will become greater with the influence of homeowner populations. Because of this problem, absolute descriptive statistics such as the mean, standard deviation, and variance should be evaluated comparatively only in relation to a particular study area. In the determination of internal boundaries this is also true, as these statistics may only have valid interpretations for the area and subarea configuration over which they are calculated.

Descriptive spatial statistics

See main article Spatial descriptive statistics

For summarizing point pattern analysis, a set of descriptive spatial statistics has been developed that are areal equivalents to nonspatial measures. Since geographers are particularly concerned with the analysis of locational data, these descriptive spatial statistics (geostatistics) are often applied to summarize point patterns and to describe the degree of spatial variability of some phenomena.

Spatial measures of central tendency

An example here is the idea of a center of population, of which a particular example is the mean center of U.S. population. Several different ways of defining a center are available:

• Mean center: The mean is an important measure of central tendency, which when extended to a set of points, located on a Cartesian coordinate system, the average location, centroid or mean center, can be determined.

• The weighted mean center is analogous to frequencies in the calculation of grouped statistics, such as the weighted mean. A point may represent a retail outlet, while its frequency will represent the volume of sales within the particular store.

• Median center or Euclidean center and in the median center of United States population. This is related to the Manhattan distance.

. Statistics and Business:

Statistics is extremely useful in modern activities of business. Business is full of risks and uncertainties. According to Boddington, "A successful businessman is one whose estimates most closely approach accuracy". Every success in business depends on precision in forecasting.

Thus, a businessman must make a proper analysis of the past records to forecast the future business conditions. Moreover, every business man has to make use of the statistical tools to estimate the trend of prices and of economic activities. In short, business involves risk and when there is risk, it is better to have a calculated risk.

References

• Duncan, Otis Dudley, Raymond Paul Cuzzort and Beverly Duncan (1977). Statistical Geography: Problems in Analyzing Areal Data. Greenwood Press. ISBN 0-8371-9676-0.

• Dickinson, G.C. (1973). Statistical mapping and the presentation of statistics. Edward Arnold. ISBN 0-7131-5641-4.

Ah, a 20-digit number is called a "vigintillion." Isn't that just a lovely word to say? It's like a cozy little cabin in the woods, nestled among the trees. Just imagine all the happy little numbers dancing around in that big, long vigintillion!

To calculate the number of 3-digit combinations that can be made from the numbers 1-9, we can use the formula for permutations. Since repetition is allowed, we use the formula for permutations with repetition, which is n^r, where n is the total number of options (10 in this case) and r is the number of digits in each combination (3 in this case). Therefore, the total number of 3-digit combinations that can be made from the numbers 1-9 is 10^3 = 1000.

To find the even two-digit numbers where the sum of the digits is 5, we need to consider the possible combinations of digits. The digits that sum up to 5 are (1,4) and (2,3). For the numbers to be even, the units digit must be 4, so the possible numbers are 14 and 34. Therefore, there are 2 even two-digit numbers where the sum of the digits is 5.

You can make 6 combinations with 3 numbers. They are:

123 213 312

132 231 321

* * * * *

NO! Those are permutations! In combitorials, the order does not matter so that the combination 123 is the same as the combination 132 etc. So all of the above comprise just 1 combination.

With three numbers you can have

1 combination of three numbers (as discussed above),

3 combinations of 2 numbers (12, 13 and 23)

3 combinations of 1 number (1, 2 and 3)

In all, with n numbers you can have 2n - 1 combinations. Or, if you allow the null combination (that consisting of no numbers) you have 2n combinations.

Well think about it. Thirds = broken into three pieces. So what could you multiply 3 by to get 6? _______. Take this answer and ask what you could multiply that by to get 4. This will give you your numerator.

Oh, what a lovely collection of numbers you have there! To find the mean, you simply add them all up and then divide by how many numbers there are. So, for these numbers, you would add 1.2 + 1.4 + 1.5 + 1.7 + 2, and then divide by 5 to find the mean. Happy calculating!

To calculate the probability of drawing a black card and a 7 from a standard deck of 52 cards, we first determine the total number of black cards and the number of 7s in the deck. There are 26 black cards (13 spades and 13 clubs) and 4 sevens in the deck. The probability of drawing a black card and a 7 is calculated by multiplying the probability of drawing a black card (26/52) by the probability of drawing a 7 (4/52), resulting in a probability of (26/52) * (4/52) = 1/26 or approximately 0.0385.

If you have two modes, you divide them by the amount there are.

A mode (the most frequently occurring number in a group of figures) is simply a statistic used to characterize a group of numbers or data with one figure. Unlike an average or mean, the mode does not undergo any transformation and is always a number that actually exists in the data.

As the mode is the most frequently occurring number in a group of numbers, it is entirely possible to have two (or more) modes.

These invented examples should serve as illustrations:

Number of tropical fish in aquaria in five homes: Jones (10); Nash (4); Zebrowski (10); Hackett (3); Peters (6). The mode here is 10, the number that appears most frequently.

Number of plants in aquaria in five homes: Jones (10); Nash (7); Zebrowski (10); Hackett (7); Peters (2). Here, the modes are 10 and 7, as both numbers appear more frequently than any others.

to avoid a large number of empty classes?

If the 6 digits can be repeated, there are 1296 different combinations. If you cannot repeat digits in the combination there are 360 different combinations.

* * * * *

No. That is the number of PERMUTATIONS, not COMBINATIONS.

If you have 6 different digits, you can make only 15 4-digit combinations from them.

The probability of rolling a 3 on a single die is 1/6. Similarly, the probability of rolling a 5 on a single die is also 1/6. When rolling the die twice, the probabilities are independent events, so you multiply the probabilities together: (1/6) * (1/6) = 1/36. Therefore, the probability of rolling a 3 the first time and a 5 the second time is 1/36.

The sum of 12 refers to the result of adding 12 to another number or set of numbers. In this case, if we are only considering the number 12 by itself, the sum would simply be 12. If you are looking for the sum of 12 and another number, you would need to provide that number in order to calculate the total sum.

Christmas is celebrated on December 25th each year. To determine the number of days until Christmas, you would need to calculate the difference between the current date and December 25th. For example, if today is November 30th, there would be 25 days until Christmas.

Ah, let's not focus on negativity, friend. Instead, let's think about all the beautiful things in life that bring us joy and fulfillment. Remember, kindness and love are the true treasures that make our world a brighter place.

To calculate the percent difference between two values, you first find the absolute difference between the two values by subtracting the smaller value from the larger one. Then, divide this absolute difference by the average of the two values. Finally, multiply the result by 100 to express it as a percentage. The formula for percent difference is: % difference = |(value 1 - value 2) / ((value 1 + value 2) / 2)| * 100.

In engineering you can use items around the workshop such as posters on info boards or their may already be drill and hole sizes for tap for example a 6.8mm drill bit for a M8 tap on a technical drawing or bend tolerences for the materials thickness.

Oh, that's a fun word! "Nippavac" doesn't have a specific meaning in English, so it might be a made-up or unique term. Maybe it's a combination of different words or a special name. Let's embrace the creativity and beauty in words, just like we do with colors on a canvas.

More then 30 how do i know that because i did it it took me more then 3 hours

* * * * *

Given that in a combination, 123124125 is the same as 111222345 or 321521421 etc (the order does not matter), I make the answer 8,697,700 - anyone willing to check?

This is much smaller than the 900,000,000 nine-digit numbers that do not have leading zeros, or the 999,999,999 nine-digit number including leading zeros.

No two numbers exist.

for the two numbers to be added to be negative and multiplied to be positive, both numbers must be negative, and the highest possible multiplication for two numbers added to -12 would be (-6 and -6) but multiplied, yields 36. So, no such numbers would exist.

The median is the middle value when the numbers are arranged in numerical order. In this case, the middle two numbers are 88 and 92, so the median is (88 + 92) / 2 = 90. The mode is the number that appears most frequently, which is 88 in this dataset. The mean is the average of all the numbers, calculated by adding them up and dividing by the total count. In this case, the mean is (95 + 88 + 79 + 92 + 78 + 88 + 93 + 100 + 69 + 98) / 10 = 88.2.

Well, darling, if you want a range of 7 with a median of 5, you'll need a set of numbers that are evenly spaced. So, let's go with 2, 5, 8, and 11. That way, you've got a range of 7 and a sassy median of 5.

Oh, what a lovely question! If we have a three-digit code number beginning with a 7, we have 10 options for each digit (0-9). So, we have 10 choices for the first digit, 10 choices for the second digit, and 10 choices for the third digit. Multiplying these together gives us a total of 10 x 10 x 10 = 1,000 possible codes that can be made. Isn't that just delightful?

Oh, my friend, everyone has a soul, just like every tree has roots and every cloud has a silver lining. Our souls are what make us unique and connect us to the beauty of the world around us. Embrace your soul and let it shine bright like a happy little sunbeam.

There are 21 deserts in the Muslim world. Some of the notable deserts include the Arabian Desert, Sahara Desert, and the Thar Desert. Deserts play a significant role in the geography and climate of the regions they are located in.