   Home > Statistical Methods calculators   AtoZmath.com  Homework help (with all solution steps)  Educational Level  Secondary school, High school and College  Program Purpose  Provide step by step solutions of your problems using online calculators (online solvers)  Problem Source  Your textbook, etc 
 Statistical Methods Calculators(examples)   1.1 Ungrouped data  85,96,76,108,85,80,100,85,70,95  1. Mean, Median and Mode for ungrouped data 2. Quartile, Decile, Percentile, Octile, Quintile for ungrouped data 3. Population Variance, Standard deviation and coefficient of variation for ungrouped data 4. Sample Variance, Standard deviation and coefficient of variation for ungrouped data 5. Population Skewness, Kurtosis for ungrouped data 6. Sample Skewness, Kurtosis for ungrouped data 7. Geometric mean, Harmonic mean for ungrouped data 8. Mean deviation, Quartile deviation, Decile deviation, Percentile deviation for ungrouped data 9. Five number summary for ungrouped data 10. Box and Whisker Plots for ungrouped data 11. Construct an ungrouped frequency distribution table 12. Construct a grouped frequency distribution table 13. Maximum, Minimum for ungrouped data 14. Sum, Length for ungrouped data 15. Range, Mid Range for ungrouped data 16. Stem and leaf plot for ungrouped data 17. Ascending order, Descending order for ungrouped data  1.2 Grouped data  Class  5055  4550  4045  3540  3035  3530  2025  f  25  30  40  45  80  110  170 
 1. Mean, Median and Mode for grouped data 2. Quartile, Decile, Percentile, Octile, Quintile for grouped data 3. Population Variance, Standard deviation and coefficient of variation for grouped data 4. Sample Variance, Standard deviation and coefficient of variation for grouped data 5. Population Skewness, Kurtosis for grouped data 6. Sample Skewness, Kurtosis for grouped data 7. Geometric mean, Harmonic mean for grouped data 8. Mean deviation, Quartile deviation, Decile deviation, Percentile deviation for grouped data 9. Five number summary for grouped data 10. Box and Whisker Plots for grouped data 11. Mode using Grouping Method for grouped data 12. Less than type Cumulative frequency table for grouped data 13. More than type Cumulative frequency table for grouped data 14. Class and their frequency table for grouped data  1.3 Mixed data  Class  1  2  5  610  1020  2030  3050  5070  70100  f  3  4  10  23  20  20  15  3  2 
 1. Mean, Median and Mode for mixed data 2. Population Variance, Standard deviation and coefficient of variation for mixed data 3. Sample Variance, Standard deviation and coefficient of variation for mixed data 
2. Missing frequency for  1. Ungrouped data  The Mean of the observations `18,14,15,19,15,a,12,15,16` is `16`. Find missing frequency `a`  2. Grouped data  1. Mean of the following distribution is 18.1. Find the 1 missing frequency.Class  5  10  10  15  15  20  20  25  25  30  30  35  f  11  20  35  20  a  6 
2. The mean of a frequency distribution of 40 persons is 16.5. Find the 2 missing frequencies.Class  0  5  5  10  10  15  15  20  20  25  25  30  30  35  f  1  7  11  ?  ?  4  2 
3. The median and mode of a frequency distribution of 230 person are 33.50 and 34 respectively. Find the 3 missing frequencies.Class  0  10  10  20  20  30  30  40  40  50  50  60  60  70  f  4  16  ?  ?  ?  6  4 

3. Statistics Word Problem  The mean of 10 observations is 35 . While calculating the mean two observations were by mistake taken as 35 instead of 25 and 30 instead of 45 . Find the correct mean. 
4. Statistics Graph  1. Histogram 2. Frequency Polygon 3. Frequency Curve 4. Less than type cumulative frequency curve 5. More than type cumulative frequency curve 6. Ogive (cumulative frequency curve) 7. Frequency polygon with the help of Histogram 8. Frequency curve with the help of Histogram1. Simple bar graph 2. Multiple bar graph 3. Percentage bar graph 4. Simple stacked bar chart 5. Percentage stacked bar chart 6. Pie Chart 7. Donut Chart 8. Scatter Plot  XY Graph 9. Line Graph  The frequency distribution of the marks obtained by 100 students in a test of Mathematics carrying 50 marks is given below. Draw Histogram, Frequency Polygon, Frequency Curve, Less than type cumulative frequency curve and More than type cumulative frequency curve of the data.Marks obtained  0  9  10  19  20  29  30  39  40  49  number of students  8  15  20  45  12 

5. Arithmetic Mean, Geometric Mean, Harmonic Mean  1. Find Arithmetic mean, Geometric mean, Harmonic mean  Find Arithmetic mean, Geometric mean, Harmonic mean for ungrouped data like 2,3,4,5,6  2. Find X from Arithmetic mean, Geometric mean, Harmonic mean  Find X where Arithmetic mean=3.5 for ungrouped data 2,3,X,5  3. Find Mean or Median or Mode from other two's  Find Mode when Mean=3 and Median=4 
 6. Combined mean and combined standard deviation  Find the combined standard deviation from the following data.  A  B  number of Observations  40  60  Average  10  15  S.D.  1  2 

7. Mean deviation about mean for  1. Ungrouped data  85,96,76,108,85,80,100,85,70,95  2. Grouped data  Calculate mean deviation about mean for the following distribution.
Marks  010  1020  2030  3040  4050  5060  6070  No. of student  6  5  8  15  7  6  3 

8. Pearson's Correlation Coefficient  1. For X & Y or ClassX & Y a. Correlation Coefficient r b. Covariance  Population Covariance, Sample Covariance  Calculate correlation coefficient for following weights fathers X and their sons YX  65  66  67  67  68  69  70  72  Y  67  68  65  68  72  72  69  71 
 2. For bivariate grouped data a. Correlation Coefficient r b. Covariance  Population Covariance, Sample Covariance  Calculate the correlation coefficientClassYClassX  90100  100110  110120  120130  5055  4  7  5  2  5560  6  10  7  4  6065  6  12  10  7  6570  3  8  6  3 

 9. Spearman's Rank Correlation Coefficient (RHO)  1. Ten participants in a contest are ranked by two judges as follows2. Obtain the rank correlation coefficient for the following data.X  68  64  75  50  64  80  75  40  55  64  Y  62  58  68  45  81  60  68  48  50  70 

10. Regression line equations  1. Find the equation of two regression lines, also estimate  Find the equation of regression line equations and correlation coefficient from the following data.X  28  41  40  38  35  33  46  32  36  33  Y  30  34  31  34  30  26  28  31  26  31 
 2. Find Correlation Coefficient from two Regression line equations  The regression equation of two variables are 5y = 9x  22 and 20x = 9y + 350.Find the means of x and y. Also find the value of r.  3. Find Regression line equations using mean, standard deviation and correlation correlation (r)  The following information is obtained form the results of examination  Marks in Stats  Marks in Maths  Average  39.5  47.5  S.D.  10.8  16.8  The correlation coefficient between x and y is 0.42. Obtain two regression line equations and estimate y for x = 50 and x for y = 30.  4. Find Regression line equations from `sum x, sum y, sum x^2, sum y^2, sum xy, n`  The following information is obtained for two variables x and y. Find the regression equations of y on x.`sum xy` = 3467  `sum x` = 130  `sum x^2` = 2288  n = 10  `sum y` = 220  `sum y^2` = 8822 

 11. Regression line equations for bivariate grouped data  Find Regression LinesClassYClassX  90100  100110  110120  120130  5055  4  7  5  2  5560  6  10  7  4  6065  6  12  10  7  6570  3  8  6  3 

12. Curve Fitting  Method of Least Squares  1. Fitting straight line `(y=a+bx)` 2. Fitting second degree parabola `(y=a+bx+cx^2)` 3. Fitting cubic equation `(y=a+bx+cx^2+dx^3)` 4. Fitting exponential equation `(y=ae^(bx))` 5. Fitting exponential equation `(y=ab^x)` 6. Fitting exponential equation `(y=ax^b)`  Fit a straight line, second degree parabola, cubic equation for the following data on production.Year  1996  1997  1998  1999  2000  Production  40  50  62  58  60 

13. ANOVA  analysis of variance  1. Oneway ANOVA 2. Twoway ANOVA  Solve using Oneway ANOVA methodObservation  A  B  C  D  1  421  325  320  362  2  118  102  122  56  3  591  518  552  509  4  14  26  20  2  5  116  14  26  46 

14. Distribution tables  1. Normal Distribution(Z)   2. t Distribution   3. Chi square Distribution   4. F Distribution   5. Binomial Distribution  
15. Parametric test  1. F test: 2 sample   2. ttest: 1 sample, 2 sample   3. Standard error: 1 sample  
16. Non parametric test  1. Sign test: 1 sample, 2 sample   2. Mann whitney U test: 2 sample   3. Kruskalwallis test: K sample   4. Chi square test: 1 Sample, K Sample   5. Median test: 1 sample, 2 sample   6. Mood's Median test: 2 sample  
17. Permutation & combination  1. Find `n!`   2. Find `(n!)/(m!)`   3. Find `{::}^nP_r`   4. Find `{::}^nC_r`   5. How many words can be formed from the letters of the word daughter?   6. How many ways a committee of players can be formed ?   7. Permutation, Combination List  
18. Probability  1. Coin   2. Dice   3. Cards   4. Balls    
19. Time Series and Forecasting  1. Simple Moving Average   2. Weighted Moving Average   3. Exponential Moving Average   4. Single Exponential Smoothing   5. Simple Moving Average forecast   6. Weighted Moving Average forecast   7. Exponential Moving Average forecast   8. Single Exponential Smoothing forecast    
20. Index Number  1.1 Fixed base method 1.2 Chain base method2. Unweighted Index Number 2.1 Simple Aggregative Method 2.2 Simple Average of Price Relative Method (using the arithmetic mean) 2.3 Simple Average of Price Relative Method (using the geometric mean) 3.1 Fixed base method for bivariate grouped data 3.2 Chain base method for bivariate grouped data 4.1 Conversion of fixed base index numbers into chain base index numbers 4.2 Conversion of chain base index numbers into fixed base index numbers 5. Weighted Index Numbers 5.1 Laspeyre's price index number 5.2 Paasche's price index number 5.3 Fisher's price index number 5.4 Marshall Edgeworth's price index number 5.5 DorbishBowley's price index number 5.6 Kelly's price index number 5.7 Walsh's price index number 6.1 Weighted aggregate method 6.2 Weighted average of price relatives method 7. Cost of living Index number 7.1 Aggregate expenditure method 7.2 Family budget method 

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