Question
In statistics, which measure of dispersion is not
affected by extreme values?Solution
- Measures of dispersion:
- Range: (Max - Min). Highly sensitive to extreme values.
- Variance & Standard Deviation: Based on squared deviations from the mean. The mean itself is sensitive to outliers, so these measures are also highly affected.
- Interquartile Range (IQR): Defined as Q3 - Q1 (the range of the middle 50% of the data). Since it only uses the data between the 25th and 75th percentiles, it completely ignores the values in the lowest 25% and the highest 25% . This makes it a robust statistic that is resistant to the influence of extreme values or outliers .
Statements:
All oranges is apples.
Some apples is pears.
Only a few pears is watermelon.
Conclusions:
I. Some pears c...
Conclusions:
I. Some Flats are Buildings.
II. Some Apartments are Flats.
III. No Building is a Roof.
Statements:
Statements:
Some Mountains are not Rivers.
All Rivers are Hills.
Only a few Hills are Oceans.
Conclusions:
I. Some ...
In each question below are given three statements followed by three conclusions numbered I, II and III. You have to take the given statements to be tru...
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at varianc...
In the question below are given four statements followed by three conclusions numbered I, II and III. You have to take the given statements to be true...
Statements:
Some Lantern are Light.
Only a few Light are Lamp.
Some Lamp are Torch.
Conclusions:
I. Some T...
Statement : Some letters are alphabets.
All alphabets are words.
Some letters are consonants.
Conclusion : I. All letters being...
Statements: Some papers are copies.
No copy is a diary.
Some diary are cardboard.
Conclusions:I. No diary is papers.
II....
Statements: No painting is a frame.
All frames are lights.
Some lights are canvas.
Conclusions: I. No light is a painting.