Statistics

### The sum and sum of squares corresponding to length x (in cm) and weight y (in gm) of     plant products are given below: Which is more varying, the length or weight?

Solution:- Calculate  Mean for Length x,

### 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     with a standard deviation     goals. Find which team may be considered more consistent?

Solution:- According to the  given data, Draw  the table of the given data and append other columns after calculations. Since C.V. of firm B is greater Therefore,  Team A is more consistent....

### 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?

Solution:- (i) According to the  given table, Mean monthly wages of firm A = Rs $5253$ and Number of wage earners = $586$ Then, Total amount paid = $586\text{ }\times \text{ }5253$ = Rs...

### From the prices of shares X and Y below, find out which is more stable in value:

Solution:- From the given data, draw the table of the given data and append other columns after calculations. Now calculate Mean for x, Mean $\bar{X}=\sum {{x}_{i}}/n$ Where, n =...

### From the data given below state which group is more variable, A or B?

Solution:- Calculate the coefficient of variance for each series for comparing the variability or dispersion of two series. The series having greater C.V. is said to be more variable than the other....

### The diameters of circles (in mm) drawn in a design are given below:

Calculate the standard deviation and mean diameter of the circles. [Hint first make the data continuous by making the classes as $32.5-36.5,36.5-40.5,40.5-44.5,44.5-48.5,48.5-52.5$ and then...

### Find the mean, variance and standard deviation using short-cut method

Solution:- Let us consider assumed mean, A = $92.5$ and h = $5$ Draw  the table of the given data and append other columns after calculations. Mean,...

### Find the mean and variance for the following frequency distributions

Solution:- Draw the table of the given data and append other columns after calculations.

### Find the mean and variance for the following frequency distributions

Solution:- Draw the table of the given data and append other columns after calculations.

### Find the mean and standard deviation using short-cut method.

Solution:- Let us consider the assumed mean A = $64$. Here h = $1$ Mean, $\bar{X}=A+\frac{\sum\limits_{i=1}^{a}{{{f}_{i}}{{y}_{i}}}}{N}\times h$ Where A = $64$, h = $1$...

### Find the mean and variance for each of the data

Solution:- Draw  the table of the given data and append other columns after calculations.

### Find the mean and variance for each of the data

Solution:- Draw  the table of the given data and append other columns after calculations.

### Find the mean and variance for each of the data First     multiples of

Solution:- Let us take $10$ multiples of  $3$ are  $3,6,9,12,15,18,21,24,27,30$ We know that Mean = $\bar{X}=\sum\limits_{i=1}^{a}{{{x}_{i}}}$...

### The mean and standard deviation of marks obtained by 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?

We are given, The mean and standard deviation of Mathematics are $42$and $12$ respectively. The mean and standard deviation of Physics are $32$ and $15$ respectively. The mean and standard deviation...

(i) When the wrong item is omitted, We are given, The number of observations, $n = 20$. The mean before rechecking $= 10$. The standard deviation before rechecking $= 2$. Mean is given by,...