1. (a) How Would you account for the predominant choice of arithmetic mean asameasure of central tendency? Under what circumstances would it be appropriate to use mode of median?
(b) Ram buys I kg. oranges from each of the four places at the rate of 2kg 4kg., 5kg., 8 kg., per rupee respectively. Find out how many oranges per rupee he purchased on an average?
4. The following is frequency distribution of the diameter of 1,000 parts of a particular type produced by the ABC Co. Ltd. Find the mean diameter of these parts.
Measure of Central Value 197
|
Diameter
(i11 centimeters)
|
Numberof parts
|
Diameter
(in ce11timetres)
|
Numberof parts
|
|
3.05 to 3.14
|
13
|
3.55 to 3.64
|
296
|
|
3.15 to 3.24
|
29
|
3.65 to 3.74
|
74
|
|
3.25 to 3.34
|
65
|
3.75 to 3.84
|
40
|
|
3.35 to 3.44
|
200
|
3.85 to 3.94
|
5
|
|
3.45 to 3.54
|
278
|
|
|