Find the mean, variance and standard deviation rounded to two decimal places
Transcribed Image Text:**Title: Coffee with Meals Probability Distribution**
A researcher is investigating the frequency of individuals having coffee with their meals. The table below presents the probabilities associated with the number of meals during which people drink coffee.
| X | 0 | 1 | 2 | 3 | 4 |
|----|-----|-----|-----|-----|-----|
| P(X) | 0.22 | 0.30 | 0.41 | 0.04 | 0.03 |
**Table Explanation:**
- **X:** Represents the number of meals during which coffee is consumed.
- **P(X):** Represents the probability of consuming coffee with that many meals.
For example, there is a 22% probability that no coffee is consumed with any meals and a 41% probability that coffee is consumed with two meals.
**Additional Feature:**
- A button labeled "Send data to Excel" indicates the option to export this data for further analysis.
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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