Question 2 of 7intermediate💡 UnderstandShort Answer5 marks

Comment whether the following statements are true or false.

(i)

The sum of deviation of items from median is zero.

Answer

False

(ii)

An average alone is not enough to compare series.

Answer

True

(iii)

Arithmetic mean is a positional value.

Answer

False

(iv)

Upper quartile is the lowest value of top 25% of items.

Answer

True

(v)

Median is unduly affected by extreme observations.

Answer

False

Explanation

The answer key in the textbook confirms: (i) False (ii) True (iii) False (iv) True (v) False. Statement (i) is false because the sum of deviations equals zero only for arithmetic mean, not median. Statement (ii) is true as averages alone cannot fully compare series without considering dispersion. Statement (iii) is false because median is a positional value, not arithmetic mean. Statement (iv) is true as upper quartile represents the lowest value of the top 25% of items. Statement (v) is false because median remains unaffected by extreme values - it's the arithmetic mean that is affected by extreme observations.