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 goals. Find which team may be considered more consistent?
From the data given below state which group is more variable, A or B?
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?
The sum and sum of squares corresponding to length x (in cm) and weight y (in gm) of 50 plant products are given below:
\(\sum_{i=1}^{50}x_i=212,\sum_{i=1}^{50}x_i^2=902.8,\sum_{i=1}^{50}y_i=261,\sum_{i=1}^{50}y_{i=1}^2=1457.6\)
Which is more varying, the length or weight?
Given that \(\bar{x}\) is the mean and \(σ2\) is the variance of n observations x1,x2,...,xn. Prove that the mean and variance of the observations ax1,ax2,ax3,...,axn are \(a\bar{x}\) and \(a^2σ2\), respectively,\((a ≠ 0).\)
The mean and standard deviation of 20 observations are found to be 10 and 2, respectively. On rechecking, it was found that an observation 8 was incorrect. Calculate the correct mean and standard deviation in each of the following cases:
(i) If wrong item is omitted.
(ii) If it is replaced by 12.
The mean and standard deviation of marks obtained by 50 students of a class in three subjects, Mathematics, Physics and Chemistry are given below:
Which of the three subjects shows the highest variability in marks and which shows the lowest?