Here is the five number summary of distribution of cigarettes taxes in cents
The five number summary consists of five statistical values that summarize the distribution of a dataset. These values are the minimum, first quartile, median, third quartile, and maximum. To derive the five number summary of the distribution of cigarette taxes in cents, you would need a dataset of individual cigarette tax values.
1. Minimum: To find the minimum value, you need to find the smallest tax value in the dataset. This can be done by sorting the dataset in ascending order and selecting the lowest value.
2. First Quartile (Q1): The first quartile is the value that divides the dataset into the lower 25% of the values. To find this value, you would need to calculate the median of the lower half of the dataset. To do this, sort the dataset in ascending order and find the median of the lower half.
3. Median (Q2): The median is the value that divides the dataset into two equal halves. To find the median, you need to arrange the dataset in ascending order and select the middle value.
4. Third Quartile (Q3): The third quartile is the value that divides the dataset into the upper 25% of the values. To find this value, you would need to calculate the median of the upper half of the dataset. Just like with the first quartile, sort the dataset in ascending order and find the median of the upper half.
5. Maximum: To find the maximum value, you need to find the largest tax value in the dataset. This can be done by sorting the dataset in ascending order and selecting the highest value.
Once you have gathered the dataset of cigarette tax values, you can calculate the five number summary by applying the steps described above.