Class and their frequency table for grouped data calculator

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Home > Statistical Methods calculators > Class and their frequency table for grouped data calculator

Method and examples

Method

Find Class and their frequency table for grouped data

Type your data in either horizontal or verical format,

OR

X & Frequency Class & Frequency

Rows :

Click On Generate

Consider input table values as Class & format (

)


Class and their frequency table

Mean	Quartile
Median	Deciles
Mode	Percentiles Octile Quintile

Population Variance `(sigma^2)`	Sample Variance `(S^2)`
Population Standard deviation `(sigma)`	Sample Standard deviation `(S)`
Population Coefficient of Variation	Sample Coefficient of Variation

Population Skewness	Sample Skewness
Population Kurtosis	Sample Kurtosis

Geometric mean	Harmonic mean

Mean deviation	Quartile deviation
Decile deviation	Percentile deviation

Five number summary	Box and Whisker Plots

Mode using Grouping Method

Less than type Cumulative frequency table	More than type Cumulative frequency table

Mean, Standard deviation using Direct method or Step deviation method

X 0 10 20 30 40 50
Cumulative Frequency 40 36 29 16 5 0
X 10 20 30 40 50
Cumulative Frequency 4 11 24 35 40
X 20 30 40 50 60 70 80
Cumulative Frequency 15 40 60 72 80 85 88
X 10 20 30 40 50 60 70
Cumulative Frequency 88 73 48 28 16 8 3
X 25 30 35 40 45 50
Cumulative Frequency 110 280 360 405 445 480
X 20 25 30 35 40 45
Cumulative Frequency 480 370 200 120 75 35
Class 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60
Cumulative Frequency 40 36 29 16 5 0
Class 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60
Cumulative Frequency 0 5 16 29 36 40

Decimal Place =

log(x)/ln(x) Option for Geometric mean =

SolutionHelp

Solution

Solution provided by AtoZmath.com

Class and their frequency table for grouped data calculator

1. Calculate the mean and standard deviation for the following distribution

X	6	7	8	9	10	11	12
f	3	6	9	13	8	5	4

2. Calculate the mean and standard deviation for the following distribution

Class	50-55	45-50	40-45	35-40	30-35	35-30	20-25
f	25	30	40	45	80	110	170

Example

1. Calculate Class and their frequency table
X Cumulative Frequency
0 40
10 36
20 29
30 16
40 5
50 0

Solution:
First we convert Cumulative frequency table to gropued frequency table

>	Cumulative Frequency
> 0	40
> 10	36
> 20	29
> 30	16
> 40	5
> 50	0

Class and their frequency table is

Class	Cumulative Frequency	Frequency
0 - 10	40	4 (= 40 - 36)
10 - 20	36	7 (= 36 - 29)
20 - 30	29	13 (= 29 - 16)
30 - 40	16	11 (= 16 - 5)
40 - 50	5	5 (= 5 - 0)

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