AHSEC| CLASS 12| EDUCATION| CHAPTER - 7| EDUCATIONAL STATISTICS| SOLVED QUESTIONS FOR 3 MARK EACH| H.S. 2ND YEAR

EDUCATIONAL STATISTICS

Solved questions for 3 mark each:

1. What are the different measures of central tendency? Give example. Exam paper - 2017

Ans: There are different measures of central tendency:

Mean: Mean is the best known and most commonly used measure of central tendency. It is equal to the sum of all the marks divided by the total number of marks.

The formula used to calculate the mean by short method from grouped data is

Where AM = Assumed Mean

x' = deviation of x from AM which is obtained by using

f = frequency in the class-interval

n = total frequency

i = duration of the class-interval.

Median: Median is defined as the point of the variable that divides the distribution into two equal parts. The position of the median in a series is such that half of the scores are less than the median and half are greater.

Mode: Mode is the value that occurs most frequently in a set of observations. It is the point of maximum frequency around which the other objects in the set cluster densely. The modal number of 4, 5, 5, 6, 7, 5, 6 is 5. Because 5 occurs the greatest number of times.

2. Compute the means, median and mode for each of the following set of scores: (a) 9, 12, 5, 14, 18, 22, 27, 25, 22

3. What do you understand by Paras? give example

Ans: Range is the difference between the highest and lowest scores. It is not a satisfactory indicator of variability as it only takes into account the extremes of the series. It is unreliable when N is small or when the frequency distribution has many gaps (zero f).

Consider the following series:

(a) 100, 40, 40, 20 (b) 80, 30, 50, 40

Central tendency

Variability

Series (a) Mean = 50

Series (b) Mean = 50

Range = 100-20=80

Range = 80-30=50

4. What is a bar diagram? What are its types? Exam paper - 2015, 2017

Ans: When statistical data are represented by rectangular bars, the diagrams so drawn are called bar diagrams. They consist of a set of equidistant rectangles, one for each group or range of data, with values represented by the height of the rectangles.

Example: The number of students in three classes are as follows:

Class V - 50

Class VI - 40

Class VII - 30

We draw the following bar diagram based on the above data:

5. What is Pie Diagram? Explain the process of drawing a pie diagram.

Ans: When a circle is sub-divided into different sectors to represent different data it is called a pie-diagram. To represent the data by pie-diagram we first draw a circle with any radius. The angle at the center of the circle is 360 degrees which represents the set. It can be divided into several smaller angles whose degrees will be proportional to the values of the components. The angle representing each item or sector can be calculated with the help of the following formula

6. Given Mean is 25, Mode is 27. Find out the median.

7. Given Median is 45 and mode is 35. Find the Mean.

Ans: We have the formula -

Mode (3 Median - 2 Mean)

8. What is statistics?

Ans: The science in which facts are collected in the form of figures keeping a certain purpose in mind is called statistics. The word 'statistics' is derived from the German word "Staatsmar Quidenkaten", which means notable things about the state such as population, land, area, tax collection by the state, a different idea about what is going on in the state.

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