# Task statistics, option 2

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# Description

Observations of the fat content of milk gave the following results (%):
3.86 3.97 4.33 3.84 3.88
3.69 3.94 3.96 3.46 4.18
4.02 4.09 3.76 3.89 3.57
4.06 3.76 3.73 3.62 4.01
3.76 3.82 3.82 3.94 4.26
4.17 3.78 4.04 4.08 3.87
3.67 3.61 4.00 3.92 3.93
3.71 4.16 3.52 3.91 4.03
3.72 4.02 4.03 3.98 4.07
3.71 4.14 3.99 3.81 3.72
4.33 3.82 4.03 3.62 3.91

1. Build on these data interval variation series of the random variable X equal intervals (the first interval 3.45 - 3.55) and draw a histogram.
2. Find the empirical distribution function and construct its graph.
3. Calculate the arithmetic mean of the sample, the sample variance, sample standard deviation, coefficient of variation, the magnitude of the variations, the initial and central moments up to the third order, the value of skewness and kurtosis, skewness and kurtosis error.
4. Using the criteria - Pearson on the number of variations in the level of significance = 0.05, test the hypothesis that the random variable X is distributed according to the normal law. Build on one drawing a histogram of the empirical distribution and the corresponding normal curve.