Tag: interquartile range

Questions Related to interquartile range

The median of a symmetrical distribution, whose lower and upper quartiles are 60 and 80 respectively, is

business economics and quantitative methods measures of dispersion and skewness quartile deviation or semi-interquartile range interquartile range histograms and frequency distribution diagrams

  1. 60

  2. 80

  3. 70

  4. None of these

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Correct Option: C
Explanation:

Given,  lower quartile $=60$ and upper quartile $=80$ 
$\therefore$ median $=\frac{\mbox{
lower quartile
}+\mbox{
upper quartile
}}{2}=\dfrac{60+80}{2}=70$

Which of the following are limitations of range?

business economics and quantitative methods measures of dispersion and skewness quartile deviation or semi-interquartile range interquartile range histograms and frequency distribution diagrams

  1. It is not based on all the values.

  2. As long as the minimum and maximum values remain unaltered, any change in other values does not affect range.

  3. It can not be calculated for open-ended frequency distribution.

  4. All of these

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Correct Option: D

Which of the following is true with respect to range?

business economics and quantitative methods measures of dispersion and skewness quartile deviation or semi-interquartile range interquartile range histograms and frequency distribution diagrams

  1. Higher value of Range implies higher dispersion and vice-versa

  2. Range is unduly affected by extreme values.

  3. It is not based on all the values.

  4. All of these

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Correct Option: D

Which of the following is another term for quartile division?

business economics and quantitative methods measures of dispersion and skewness quartile deviation or semi-interquartile range interquartile range histograms and frequency distribution diagrams

  1. Inter quartile range

  2. Semi Inter Quartile Range

  3. Inter Quartile Deviation

  4. None of these

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Correct Option: B

Range =

business economics and quantitative methods measures of dispersion and skewness quartile deviation or semi-interquartile range interquartile range histograms and frequency distribution diagrams

  1. Largest value - Smallest value

  2. Largest value divided by 2

  3. Both A and B

  4. None of the above

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Correct Option: A
Explanation:

Range refers to the value of variation between the largest and the smallest values in a particular data set. It can be calculated as the difference between the upper limit and lower limit of a particular set of data.

In a frequency distribution, Range is the difference between _________ and __________

business economics and quantitative methods measures of dispersion and skewness quartile deviation or semi-interquartile range interquartile range histograms and frequency distribution diagrams

  1. upper limit of the highest class, the lower limit of the lowest class

  2. lower limit of the highest class, the upper limit of the lowest class

  3. A or B

  4. None of the above

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Correct Option: A

The middle value of an ordered series is called _______.

business economics and quantitative methods measures of dispersion and skewness quartile deviation or semi-interquartile range interquartile range histograms and frequency distribution diagrams

  1. $2nd$ quartile

  2. $5th$ decile

  3. $50th$ percentile

  4. All the above

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Correct Option: D

The variate values which divide a series (frequency distribution) into $100$ equal parts are called ______.

business economics and quantitative methods measures of dispersion and skewness quartile deviation or semi-interquartile range interquartile range histograms and frequency distribution diagrams

  1. quintiles

  2. quartiles

  3. deciles

  4. percentiles

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Correct Option: D

Which measure is based on only the central fifty percent of the observations?

business economics and quantitative methods measures of dispersion and skewness quartile deviation or semi-interquartile range interquartile range histograms and frequency distribution diagrams

  1. Standard deviation

  2. Quartile deviation

  3. Mean deviation

  4. All of above

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Correct Option: B

The variate values which divide a series (frequency distribution) into four equal parts are called ______.

business economics and quantitative methods measures of dispersion and skewness quartile deviation or semi-interquartile range interquartile range histograms and frequency distribution diagrams

  1. quintiles

  2. quartiels

  3. octiles

  4. percentiles

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Correct Option: B