What is the kurtosis of the following list?34,1,23,4,3,3,12,4,3,1Please enter at least three digits after the decimal

To calculate the kurtosis of a dataset, we need to follow these steps:

1. Calculate the mean (average) of the dataset.
2. Subtract the mean from each data point and square the result (the squared difference).
3. Calculate the average of these squared differences (this is the variance).
4. Subtract the mean from each data point and raise the result to the power of 4.
5. Calculate the average of these values (this is the fourth moment).
6. Divide the fourth moment by the square of the variance (this is the kurtosis).

Let's calculate:

1. Mean: (34+1+23+4+3+3+12+4+3+1) / 10 = 8.8
2. Squared differences: (25.2, 60.84, 200.64, 23.04, 33.64, 33.64, 10.24, 23.04, 33.64, 60.84)
3. Variance: (25.2+60.84+200.64+23.04+33.64+33.64+10.24+23.04+33.64+60.84) / 10 = 50.504
4. Fourth moment: (506.25, 13838.49, 160030.98, 279.51, 506.25, 506.25, 68.36, 279.51, 506.25, 13838.49)
5. Average of fourth moment: (506.25+13838.49+160030.98+279.51+506.25+506.25+68.36+279.51+506.25+13838.49) / 10 = 33137.084
6. Kurtosis: 33137.084 / (50.504)^2 = 13.045

So, the kurtosis of the dataset is 13.045.