Q5 of 35 Page 375

The sum and sum of squares corresponding to length x (in cm) and weight y (in gm) of 50 plant products are given below:


Which is more varying, the length or weight?

For length x:

Mean,



=


Standard deviation σ = √variance= √0.0784=0.28



For Weight Y


Mean,


Variance



Standard deviation (



Since C.V.y C.V. x


⇒ weight is more varying.


More from this chapter

All 35 →
3

An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following results:


(i) Which firm A or B pays larger amount as monthly wages?


(ii) Which firm, A or B, shows greater variability in individual wages?

 4

The following is the record of goals scored by team A in a football session:


For the team B, mean number of goals scored per match was 2 with a standard deviation 1.25 goal. Find which team may be considered more consistent?

 1

The mean and variance of eight observations are 9 and 9.25, respectively. If six of the observations are 6, 7, 10, 12, 12 and 13, find the remaining two observations.

 2

The mean and variance of 7 observations are 8 and 16, respectively. If five of the observations are 2, 4, 10, 12, 14. Find the remaining two observations.