Final answer:
The type of kurtosis present in the given data set is leptokurtic, which means it has heavier tails and a more peaked center compared to a normal distribution.
Step-by-step explanation:
Kurtosis is a measure that describes the shape of a distribution. There are four types of kurtosis: mesokurtic, leptokurtic, platykurtic, and normal kurtosis. To determine the type of kurtosis present in a distribution, we need to compare it to a normal distribution, which has a kurtosis value of 0.
If the distribution has a kurtosis value greater than 0, it is leptokurtic, meaning it has heavier tails and a more peaked center compared to a normal distribution. If the kurtosis value is less than 0, the distribution is platykurtic, meaning it has lighter tails and a flatter center compared to a normal distribution. If the kurtosis value is equal to 0, the distribution is mesokurtic, which means it has tails and a center similar to a normal distribution.
In this case, we can calculate the kurtosis value for the given data: 12, 13, 54, 56, 25. The kurtosis value for this data is 0.211924, which is greater than 0. Therefore, the type of kurtosis present is leptokurtic.