Match the items in List-I and List-II and answer from the codes given below :List – I List – II (a) Standard Deviation (i) Positively skewed distribution (b) Stratified Random Sampling (ii) Analysis of attributes (c) Coefficient of Association (iii) Measure of dispersion (d) Mean > Mode (iv) Probability based sampling
Matching Statistical Concepts: List-I and List-II
This question requires matching items from List-I with their corresponding concepts in List-II. Let's analyze each item:
- (a) Standard Deviation: This measures the amount of variation or dispersion in a set of values. It indicates how spread out the data points are from the average (mean). Therefore, it corresponds to (iii) Measure of dispersion.
- (b) Stratified Random Sampling: This sampling technique divides a population into homogeneous subgroups (strata) and then randomly selects samples from each stratum. This ensures representation from all subgroups and is a type of probability sampling. It matches with (iv) Probability based sampling.
- (c) Coefficient of Association: This statistical measure quantifies the relationship or association between two or more categorical variables or attributes. It is used in the (ii) Analysis of attributes.
- (d) Mean > Mode: In a frequency distribution, the relationship between the mean, median, and mode provides information about the skewness. When the Mean is greater than the Mode (and typically the Median is between them), it indicates a (i) Positively skewed distribution (also known as right-skewed).
Final Matching Summary
Based on the analysis:
- (a) Standard Deviation relates to (iii) Measure of dispersion.
- (b) Stratified Random Sampling relates to (iv) Probability based sampling.
- (c) Coefficient of Association relates to (ii) Analysis of attributes.
- (d) Mean > Mode relates to (i) Positively skewed distribution.
The correct sequence matching List-I to List-II is (iii), (iv), (ii), (i).
Important Questions from Statistics
The mean and variance of five observations are 14 and 13.2 respectively. Three of the five observations are 11, 16 and 20. What are the other two observations ?
A die is thrown 10 times and obtained the following outputs :
1, 2, 1, 1, 2, 1, 4, 6, 5, 4
What will be the mode of data so obtained ?
Consider the following frequency distribution :
x 1 2 3 5 f 4 6 9 7 What is the value of median of the distribution ?
For data -1, 1, 4, 3, 8, 12, 17, 19, 9, 11; if M is the median of first 5 observations and N is the median of last five observations, then what is the value of 4M - N ?
Let P, Q, R represent mean, median and mode. If for some distribution \(5 P=4 Q=\frac{R}{2}\) then what is \(\frac{P+Q}{2 P+0.7 R}\) equal to ?
