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Which measure of dispersion is considered for finding a pooled measure of dispersion after combining several groups?
- a)Mean deviation
- b)Standard deviation
- c)Quartile deviation
- d)Any of these
Correct answer is option 'B'. Can you explain this answer?
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Which measure of dispersion is considered for finding a pooled measure...
Only in standard deviation, you can find combined sd . whereas in others you can't find combined measure
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Which measure of dispersion is considered for finding a pooled measure...
Pooled measure of dispersion and its calculation:
A pooled measure of dispersion is used to find the variability of a variable across several groups. It is calculated by combining the variance or standard deviation of each group.
Formula for pooled standard deviation:
s_p = sqrt [ Σ (n_i - 1) s_i^2 / Σ (n_i - 1) ]
Where:
s_p = pooled standard deviation
n_i = sample size of the i-th group
s_i = standard deviation of the i-th group
Significance of using standard deviation:
Standard deviation is considered the most appropriate measure of dispersion as it considers all the values in the data set and gives a more accurate representation of the variability. Therefore, it is used to calculate the pooled measure of dispersion.
Other measures of dispersion:
Mean deviation and quartile deviation are other measures of dispersion, but they are not suitable for finding the pooled measure of dispersion as they do not incorporate all values in the data set.
Conclusion:
In conclusion, the correct option for the measure of dispersion considered for finding the pooled measure of dispersion after combining several groups is the standard deviation.
A pooled measure of dispersion is used to find the variability of a variable across several groups. It is calculated by combining the variance or standard deviation of each group.
Formula for pooled standard deviation:
s_p = sqrt [ Σ (n_i - 1) s_i^2 / Σ (n_i - 1) ]
Where:
s_p = pooled standard deviation
n_i = sample size of the i-th group
s_i = standard deviation of the i-th group
Significance of using standard deviation:
Standard deviation is considered the most appropriate measure of dispersion as it considers all the values in the data set and gives a more accurate representation of the variability. Therefore, it is used to calculate the pooled measure of dispersion.
Other measures of dispersion:
Mean deviation and quartile deviation are other measures of dispersion, but they are not suitable for finding the pooled measure of dispersion as they do not incorporate all values in the data set.
Conclusion:
In conclusion, the correct option for the measure of dispersion considered for finding the pooled measure of dispersion after combining several groups is the standard deviation.
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Which measure of dispersion is considered for finding a pooled measure of dispersion after combining several groups?a)Mean deviationb)Standard deviationc)Quartile deviationd)Any of theseCorrect answer is option 'B'. Can you explain this answer?
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Which measure of dispersion is considered for finding a pooled measure of dispersion after combining several groups?a)Mean deviationb)Standard deviationc)Quartile deviationd)Any of theseCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Which measure of dispersion is considered for finding a pooled measure of dispersion after combining several groups?a)Mean deviationb)Standard deviationc)Quartile deviationd)Any of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which measure of dispersion is considered for finding a pooled measure of dispersion after combining several groups?a)Mean deviationb)Standard deviationc)Quartile deviationd)Any of theseCorrect answer is option 'B'. Can you explain this answer?.
Which measure of dispersion is considered for finding a pooled measure of dispersion after combining several groups?a)Mean deviationb)Standard deviationc)Quartile deviationd)Any of theseCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Which measure of dispersion is considered for finding a pooled measure of dispersion after combining several groups?a)Mean deviationb)Standard deviationc)Quartile deviationd)Any of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which measure of dispersion is considered for finding a pooled measure of dispersion after combining several groups?a)Mean deviationb)Standard deviationc)Quartile deviationd)Any of theseCorrect answer is option 'B'. Can you explain this answer?.
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