Equations
For equations calculation, please enter numerical data separated with a comma (or space, tab, semicolon, or newline). For example: 10 20 30 40 50 60 70 80 90 100Calculation:
Statistical file:{4, +4, 20}
Other statistical characteristics:
Average (mean): μ=9.3333333333333Absolute Deviation Calculator: 21.333333333333
Mean Deviation Calculator: 7.1111111111111
Minimum: 4
Maximum: 20
Variance: 56.888888888889
Standard deviation σ=7.5424723326565
Corrected sample standard deviation s=9.237604307034
Coefficient of Variation Calculator cV=0.98974331861079
Signal-to-Noise Ratio (SNR) Calculator SNR=1.0103629710818
Median: 4
Quartile Q1: 4
Quartile Q2: 4
Quartile Q3: 20
1st decile: 4 (Too few data to calculate deciles)
2nd decile: 4
3rd decile: 4
4th decile: 4
5th decile: 4
6th decile: 10.4
7th decile: 16.8
8th decile: 20
9th decile: 20
Interquartile range IQR: 16
Quartile Deviation QD: 8
Coefficient of Quartile Deviation CQD: 0.66666666666667
Lower fence: -20
Upper fence: 44
Set of outliers: {} - empty set - no outliers found
Interdecile range IDR: 16
Mode: {4, +4, 20} - multimodal
Geometric mean: 6.8399037867068
Harmonic mean: 5.4545454545455
Sum: 28
Sum of squares: 170.66666666667
Sum of absolute values: 28
Average absolute deviation: 7.1111111111111
Range: 16
Frequency Table Calculator:
| element | frequency | cumulative frequency | relative frequency | cumulative relative frequency |
|---|---|---|---|---|
| 4 | 1 | 1 | 0.33333333333333 | 0.33333333333333 |
| +4 | 1 | 2 | 0.33333333333333 | 0.66666666666667 |
| 20 | 1 | 3 | 0.33333333333333 | 1 |
Count items: 3
Calculation of normal distribution
Sorted statistic file: {4, +4, 20}
How do you enter data as a frequency table?
Simple. Write data elements (separated by spaces or commas, etc.), then write f: and further write the frequency of each data item. Each element must have a defined frequency that counts numbers before and after the symbol f: must be equal. For example:1.1 2.5 3.99
f: 5 10 15
How to enter grouped data?
Grouped data are formed by aggregating individual data into groups so that a frequency distribution of these groups serves as a convenient means of summarizing or analyzing the data.| group | frequency |
| 10-20 | 5 |
| 20-30 | 10 |
| 30-40 | 15 |
10-20 20-30 30-40
f: 5 10 15
How to enter data as a cumulative frequency table?
Similar to a frequency table, but instead, f: write cf: in the second line. For example:10 20 30 40 50 60 70 80
cf: 5 13 20 32 60 80 90 100
The cumulative frequency is calculated by adding each frequency from a frequency distribution table to the sum of its predecessors. The last value will always equal the total for all observations since the calculator will have already added all frequencies to the previous total.
Practice problems from statistics:
- Decile
Find the 5.5th decile of the data: 62, 60, 37, 57, 55, 59, 57, 50, 49, 61 - Find mean
Find the mean of two numbers: -4 and 5 (the first is negative four). - The data
The data set represents the number of cars in a town given a speeding ticket daily for ten days. 2 4 5 5 7 7 8 8 8 12 What is the IQR? - Sport shooting
During sport shooting with a small-bore rifle, the following scores were achieved in one series: 9, 9, 8, 9, 10, 6, 8, 9, 9, 10, 8, 7, 6. a. Arrange the values in order of size. b. Construct a frequency distribution table and calculate the relative freque - 45 percentile
Given the following data 11 15 24 33 10 35 23 25 40 What is P45? - Employees - statistical
The company has 18 employees aged 26-52. The age groups of the employees are: 3 employees aged 52 years, 2 aged 32 years, 1 ... 26 years old, 5 ... 36 years old, 4 ... 45 years old, and 3 ... 50 years old. Determine the median. - Test scores
Below is a collection of test scores from a class of 20 students. Make 2 histograms of the data. Choose your own horizontal scales as long as you have more than 4 cells in each histogram. 65 70 68 87 98 91 77 85 70 72 86 86 94 95 67 88 77 99 74 71 - The median 2
Here is a list of numbers: 9.9, 5.9, 3.6, 6.2, 8.9, 0.7, 4.4, 6.7, 9.9, 0.7 State the median. Give your answer as a decimal. - 75th percentile (quartille Q3)
Find 75th percentile for 30,42,42,46,46,46,50,50,54 - Increase the mean
To which number should the number 4 be changed between the numbers 4,5,7, 1,0,9,7,8, -3,5 to increase these numbers' arithmetic mean by 1.25? - Measuring data
We gradually measured the values of 3,8,13,10,1,13,10,5,3,9. Calculate how much is the sum of the median and average of this file from the mode of this file.
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