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:{15.4, 11.6, 38.51, 10.2, 7.3, 24.84}
Other statistical characteristics:
Average (mean): μ=17.975Absolute Deviation Calculator: 54.8
Mean Deviation Calculator: 9.1333333333333
Minimum: 7.3
Maximum: 38.51
Variance: 115.08199166667
Standard deviation σ=10.727627494776
Corrected sample standard deviation s=11.751527134803
Coefficient of Variation Calculator cV=0.65377063336871
Signal-to-Noise Ratio (SNR) Calculator SNR=1.5295884350866
Median: 13.5
Quartile Q1: 9.475
Quartile Q2: 13.5
Quartile Q3: 28.2575
1st decile: 9.33 (Too few data to calculate deciles)
2nd decile: 8.46
3rd decile: 10.34
4th decile: 11.32
5th decile: 13.5
6th decile: 17.288
7th decile: 23.896
8th decile: 33.042
9th decile: 38.51
Interquartile range IQR: 18.7825
Quartile Deviation QD: 9.39125
Coefficient of Quartile Deviation CQD: 0.49778042801299
Lower fence: -18.69875
Upper fence: 56.43125
Set of outliers: {} - empty set - no outliers found
Interdecile range IDR: 29.18
Mode: {7.3, 10.2, 11.6, 15.4, 24.84, 38.51} - multimodal
Geometric mean: 15.27933578886
Harmonic mean: 13.262822019829
Sum: 107.85
Sum of squares: 690.49195
Sum of absolute values: 107.85
Average absolute deviation: 9.1333333333333
Range: 31.21
Frequency Table Calculator:
| element | frequency | cumulative frequency | relative frequency | cumulative relative frequency |
|---|---|---|---|---|
| 7.3 | 1 | 1 | 0.16666666666667 | 0.16666666666667 |
| 10.2 | 1 | 2 | 0.16666666666667 | 0.33333333333333 |
| 11.6 | 1 | 3 | 0.16666666666667 | 0.5 |
| 15.4 | 1 | 4 | 0.16666666666667 | 0.66666666666667 |
| 24.84 | 1 | 5 | 0.16666666666667 | 0.83333333333333 |
| 38.51 | 1 | 6 | 0.16666666666667 | 1 |
Count items: 6
Calculation of normal distribution
Sorted statistic file: {7.3, 10.2, 11.6, 15.4, 24.84, 38.51}
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:
- 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? - 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. - Third tests Third periodical tests are 98, 97, 86, 94, 90, 97, 91, and 94. Find the median of her grades and interpret the result.
- 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. - Decile
Find the 5.5th decile of the data: 62, 60, 37, 57, 55, 59, 57, 50, 49, 61 - 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.
- 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 - Median and modus
Radka made 50 throws with a dice. The table saw fit individual dice's wall frequency: Wall Number: 1 2 3 4 5 6 frequency: 8 7 5 11 6 13 Calculate the modus and median of the wall numbers that Radka fell. - 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
- The size 2
The size of pants sold during one business day in a department store is 32, 38, 34, 42, 36, 34, 40, 44, 32, and 34. Find the average size of the pants sold.
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