TextBook Solutions for Goa Board of Secondary and Higher Secondary Education Class 11 Statistics Statistics For Economics Chapter 5 Measures Of Central Tendency

Which average would be suitable in the following cases:

(i) Average size of readymade garments.

(ii) Average intelligence of students in a class.

(iii) Average production in a factory per shift.

(iv) Average wages in an industrial concern.

(v) When the sum of absolute deviations from average is least.

(vi) When quantities of the variable are in ratios.

The most suitable average for qualitative measurement is:

• Arithmetic mean 

• Median

   

• Mode

• Geometric mean

   

• Geometric mean

   

Which average is affect most by the presence of extreme items?

• Median

• Mode

   

• Arithmetic Mean

• Geometric Mean

• Geometric Mean

The algebraic sun of deviation of a set of n values from A.M. is =:

• N

• O

• None of the above

Comment on whether the following statements are True or False.

A.

The sum of deviation of items from median is zero.

B.

An average alone is not enough to compare series.

C.

Arithmetic mean is a positional value.

D.

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

E.

Median is unduly affected by extreme observations.

Following information pertains to the daily income of 150 families. Calculate the arithmetic means.

If the arithmetic mean of the data given below is 28, find (a) the missing frequency and (b) the median of the series.

The following series relates to the daily income of workers employed in a firm. Compute the (a) highest income of lowest 50% workers, (6) minimum income earned by the top 25% and (c) maximum income earned by lowest 25% workers.

The following table gives production yield in kg. per hectare of wheat of 150 arms in a village. Calculate the mean, median and mode production yield.

The size of land holdings of 380 families in a village is given below. Find the median size of land holdings.