Standard deviation calculator
For standard deviation 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:{5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 65, 65, 65, 65, 65, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75}
Standard deviation σ=19.757894624681
Corrected sample standard deviation s=19.837403576203
Other statistical characteristics:
Average (mean): μ=35.16Absolute deviation: 1984
Mean deviation: 15.872
Minimum: 5
Maximum: 75
Variance: 390.3744
Standard deviation σ=19.757894624681
Corrected sample standard deviation s=19.837403576203
Coefficient of variation cV=0.56420374221283
Signal-to-noise ratio SNR=1.7724093712636
Median: 35
Quartile Q1: 25
Quartile Q2: 35
Quartile Q3: 45
1st decile: 5
2nd decile: 15
3rd decile: 25
4th decile: 25
5th decile: 35
6th decile: 41
7th decile: 45
8th decile: 53
9th decile: 65
Interquartile range IQR: 20
Quartile Deviation QD: 10
Coefficient of Quartile Deviation CQD: 0.28571428571429
Lower fence: -5
Upper fence: 75
Set of outliers: {} - empty set - no outliers found
Interdecile range IDR: 60
Mode: 45 - unimodal
Geometric mean: 27.949705891315
Harmonic mean: 19.242013741989
Sum: 4395
Sum of squares: 48796.8
Sum of absolute values: 4395
Average absolute deviation: 15.872
Range: 70
Frequency table :
| element | frequency | cumulative frequency | relative frequency | cumulative relative frequency |
|---|---|---|---|---|
| 5 | 15 | 15 | 0.12 | 0.12 |
| 15 | 15 | 30 | 0.12 | 0.24 |
| 25 | 23 | 53 | 0.184 | 0.424 |
| 35 | 22 | 75 | 0.176 | 0.6 |
| 45 | 25 | 100 | 0.2 | 0.8 |
| 55 | 10 | 110 | 0.08 | 0.88 |
| 65 | 5 | 115 | 0.04 | 0.92 |
| 75 | 10 | 125 | 0.08 | 1 |
Count items: 125
Calculation of normal distribution
Sorted statistic file: {5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 65, 65, 65, 65, 65, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75}
Statistical file:
{5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 55, 55, 55, 55, 55, 55, 55, 55, 55, 55, 65, 65, 65, 65, 65, 75, 75, 75, 75, 75, 75, 75, 75, 75, 75}
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:
- Tennis aces
The number of aces served by Novak Djokovic in the last 20 tournaments he has participated in is shown below. 12 17 13 7 8 14 11 14 10 12 15 9 11 13 6 15 18 5 19 24 1.1 using the raw, determine the range. 1.2 Group the data into a frequency distribution w - Dataset:
Dataset: 35 22 18 54 22 46 28 31 43 22 14 17 25 19 33 14. 1 Group the data into a grouped distribution using six classes of equal width. 2. Determine the mean, median, and mode using the raw data. 3. Draw an Ogive curve corresponding to the data and use i - Squared deviation
Given the data from the problem (sample data: 23, 27, 35, 44), find the sum of the squared deviations (the numerator of the fraction under the square root in the formula). In finding the number, round all calculations to 2 decimals (if you carry more or f - Dataset
Data: 11,15,11,16,12,17,13,21,14,21,15,22 Find the dispersion of a given dataset.
- Chi square
A phone battery manufacturer claims that his battery lives are approximately normally distributed with a standard deviation equal to 0.9 years. Suppose a random sample of 10 of these batteries has a standard deviation of 1.2 years. Do you think that the s - A student 2
A student randomly selected 225 college students and asked whether they had eaten breakfast that morning before coming to campus. Fifty-seven students were at least 25 years old, and 30 had breakfast that morning. Of the 168 students younger than 25, 82 h - Confidence 61774 What is the smallest number of men we would have to choose to estimate the mean height of men with an accuracy of +, - 0.5cm, and 95% confidence, assuming a standard deviation of 8cm?
- Dispersion 3335
What is the value of the variance of the data in the file if the calculated standard deviation = 2? a) Dispersion = 6 b) Dispersion = 4 c) Dispersion = 9 d) Dispersion = 2 - Five number summary
Find the five-number summary for these data and make a boxplot. 14,5,12,19,2,35,5,4,3,7,5,8
- Z-score
The mean adult male pulse rate is 67.3 beats per minute, with a standard deviation of 10.3. Find the z-score for an adult male's pulse rate of 75. (Round the z-score to two decimal places. ) - A sample variance
Calculate the value of the sample variance. −8,−8,−3,13,4,−8,10,8
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