NCERT Class 11 Statistics for Economics Chapter 5 Measures of Central Tendency Extra Questions and Answers
Class 11 Statistics for Economics Chapter 5 Extra Inside Questions and Answers – Measures of Central Tendency. Here in this Page Class XI Students can Learn Extra Questions & Answer 5th Chapter Statistics for Economics fully Inside.
We Provided Here Measures of Central Tendency Statistics for Economics Chapter 5 Long Answer Type Question, MCQ Questions & Answer, Short Answer Type Questions (2 or 3 marks), and Very Short answer Type Question (1 marks) Solution.
Class 11 Statistics for Economics Chapter 5 Inside based Question
Statistics for Economics Chapter 5 Measures of Central Tendency Class 11 Inside 5 Marks, 3 marks, 2 Marks & And 1 Marks Important Questions and Answers.
1.) Explain the assume mean method.
Ans – If the number of observations in the data is more and figures are large, in this case it is difficult to compute arithmetic mean by direct method. The computation can be made easier by using assumed mean method. In order to save time in calculating mean from a such data which containing such a large number of observations and numerical figures ,in this case you can use assumed mean method. In first step you assume a particular figure in the data as the arithmetic mean on the basis of experience. Then in second step you may take deviations of the said assumed mean from each of the observation. In third step you take summation of these deviations and divide it by the number of observations as given in the data. The actual arithmetic mean is estimated by taking the sum of the assumed mean and the ratio of sum of deviations to number of observations.
2.) Explain the calculation of arithmetic
Mean in group data.
Ans – i.) In case of Discrete series. – In case of discrete series, frequency against each observation is multiplied by the value of the observation. The values, so obtained, are summed up and divided by the total number of frequencies.
ii.) In case of Continuous Series Here, class intervals are given. The process of calculating arithmetic mean in case of continuous series is same as that of a discrete series. The only difference is that the mid-points of various class intervals are taken.
3.) Explain the properties of Arithmetic Mean.
Ans – Following are the two interesting properties of A.M.
(i) the sum of deviations of items about arithmetic mean is always equal to zero.
(ii) arithmetic mean is affected by extreme values. Any large value, on either end, can push it up or down.
4.) Explain median
Ans – Median is basically a positional value of the variable which divides the distribution into two equal parts, one part comprises all values greater than or equal to the median value and the other comprises all values less than or equal to it. The Median is always the “middle” element when the data set is arranged in increasing or decreasing order . Since the median is determined by the position of different values, hence it does not affected by change in the size of the largest value increases. Computation of median The median can be easily computed by sorting the data from smallest to largest and finding out the middle value.
5.) Explain Quartiles
Ans – Quartiles divide the data into four equal parts ,each portion contains equal number of observations. There are three quartiles. The first Quartile has 25% of the items of the distribution below it and 75% of the items are greater than it. The second Quartile has 50% of items below it and 50% of the observations above it. The third Quartile has 75% of the items of the distribution below it and 25% of the items above it. Thus, Q1 and Q3 denote the two limits within which central 50% of the data lies.
In case you are missed :- Previous Chapter Extra Questions
1.) ……..is the most commonly used measure of central tendency.
(a) Arithmetic
Mean
(b) Median
(c) Mode
(d) None of the above
Ans – option (a)
2.) It is defined as the sum of the values of all observations divided by the number of observations .
(a) Arithmetic
Mean
(b) Median
(c) Mode
(d) None of the above
Ans – option (a)
3.) To calculating arithmetic Mean we take class intervals.
(a) Discrete series
(b) Continuous series
(c) Both (a) and (b)
(d)None of the above
Ans – option ( b)
4.) ………is the “middle” element when the data set is arranged in order of the magnitude.
(a) Arithmetic
Mean
(b) Median
(c) Mode
(d) None of the above
Ans – option (b)
5.) ………divide the distribution into hundred equal parts.
(a) Quartiles
(b) Median
(c) Percentiles
(d) Arithmetic
Mean
Ans – option (c)
6.) Mode is the most frequently observed data value.
(a)Median
(b)Arithmetic
Mean
(c) Percentage
(d) Mode
Ans – option (d)
In case you are missed :- Next Chapter Extra Questions
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