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Question 13 Marks
Define mean and Median and explain their importance.
Answer
  • Three methods are useful for verifying statistics: (1) measurement of intermediate position, (2) diffusion and (3) correlation.
  • To find the values ​​of the intermediate state: 1. Mean, 2. Media and 3. Mode are used.
1. Median:
  • This is the most common method of measuring its average in statistics.
  • Its definition: "The sum of all the observations of information, divided by the sum of the total number of observations, is called the mean."
  • The formula for finding the median is as follows:
$\bar{\mathrm{x}}$ = $\frac{\sum \mathrm{x}_{\mathrm{i}}}{\mathrm{n}}$
2. Moderator:
  • Intermediate position is a method of measuring.
  • It simply means 'in the middle' or 'in the middle' measure.
  • The size of the median is in the middle of all observations.
  • Hence it is known as the moderator.
  • The median is the value that divides the total observations into two equal parts.
  • Moderator search formula:
  • M = {(n + 1) / 2}, the value of the score
  • This formula is used when the number of observations is in even numbers.
  • But if the number of observations is odd, the following formula is used:
  • M = (value of observation of m + (m + 1) value of observation) / 2
  • Primary or and secondary statistics are obtained for any study.
  • The median and the median are used to find a measure that summarizes the given observations.
  • The value representing this measure is somewhere between the total observations.
  • The practitioner seeks such measurements to standardize his study.
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Question 23 Marks
State the institution publishing official maps of India.
Answer
Many types of information can be stored through maps.
Many types of maps are produced by government and private publishers.
The Survey of India in Dehradun (Uttarakhand) and the NATMO-National Atlas and Thematic Mapping Organization in Kolkata publish certified maps of India on behalf of the Government of India.
These organizations have also prepared Atlas.
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Question 43 Marks
Write a short note about ‘quantitative information’.
Answer
  • There are natural and man-made elements on the surface of the earth.
  • Man-made details include population distribution, its density, statistics of industrial or agricultural products, etc., and natural elements include climate, minerals, animals, etc.
  • Statistics can be obtained about all these elements.
  • Such information is called 'data'.
  • These statistics can be quantitative i.e. quantitative or qualitative.
  • If the temperature data of each day of the year is collected, it is called 'information' and the total population of the country in terms of population is called 'quantitative information'.
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Question 53 Marks
State the source of the information.
Answer
  • There are two main ways to obtain geographical as well as statistical information: (1) direct and (2) indirect.
  • For a general purpose or for a specific purpose, a person or a group of people go to a region and get information.
  • This information is systematically recorded.
  • Information is obtained through drawings, photographs, videography, etc. of the region to achieve its purpose.
  • Direct information is a direct way to obtain information that a person collects in person.
  • This information is called primary information.
  • The process of visiting is called field work.
  • Information can be collected through Questionnaire or Schedule.
  • An individual may also use information collected and published by another person or organization for their own study.
  • Such information is called secondary information.
  • Thus, there are two main sources of information.
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Question 63 Marks
Consider the following examples:
Answer
(i) Find the median and median for the following statistics:
150, 140, 280, 185, 156, 300, 230, 209, 105, 80, 100, 95
Mean $\bar{\mathrm{x}}$ = $\frac{\sum \mathrm{x}_{\mathrm{i}}}{\mathrm{n}}$
= $\frac{150+140+280+185+156+300+230+209+105+80+100+95}{12}$
= $\frac{2030}{12}$
= 169.166
Moderator: Arranging observations in ascending order:
80, 95, 100, 105, 140, 150, 156, 185, 209, 230, 280, 300
  • Here, the total observations are 12.
  • So n = 12
  • If n = 2m then 12 = 2m then m = 6.
  • Now M = (value of 6th observation + value of 7th observation) / 2
= (150 + 156) / 2
= 306/2
= 153
(ii) Find the multiplier of the following observations:
27, 20, 25, 26, 31, 27, 7, 22, 27, 27, 20, 20, 18, 20, 20, 27, 18, 27
Arranging the given observations in ascending order:
7, 18, 18, 20, 20, 20, 20, 20, 22, 25, 26, 27, 27, 27, 27, 27, 27, 31
Of the observations given here, observation occurs 27 times (6 times) the most, so the multiplier of this information is 27.
(iii) Find the multiplier of the following observations:
5, 5, 2, 5, 3, 5, 4, 6, 5, 7, 5
Arranging the given observations in ascending order:
2, 3, 4, 5, 5, 5, 5, 5, 5, 6, 7
Observations occur 5 more times (6 times) in the given observations.
The multiplier of this information will be Z = 5.
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Question In Brief. (3 Marks) - Geography STD 12 Arts Questions - Vidyadip