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Shorten and precise the following paragraph Central tendency and variability are two fundamental aspects of statistical analysis. They provide a summary of a dataset and
Shorten and precise the following paragraph Central tendency and variability are two fundamental aspects of statistical analysis. They provide a summary of a dataset and help us understand the distribution of data points. For the variable 'number of years a smoker' the measures of central tendency (the mean, median, and the mode) as well as the variability were calculated and shown in Table 4. Central Tendency Mean: The mean, or average, is calculated by adding up all the values and dividing by the number of values. In this case, the mean number of years a person has been smoking is approximately 16.98 years. This suggests that, on average, individuals in this sample have been smoking for nearly 17years. The mean can be very sensitive to extreme scores at times, which means it can be pulled to the opposite ends of the data points (Salkind, 2017). Median: The median is the middle value when the data is arranged in ascending or descending order. Here, the median is 10 years, meaning that half of the smokers have been smoking for less than 10 years, and half have been smoking for more than 10 years. Mode: The mode is the most frequently occurring value in a dataset. In this case, the mode is 0 years, indicating that the most common number of years a person has been smoking in this sample is 0 years. Variability Variability is defined as how spread scores are in a distribution set, three measures of variability. include the range, standard deviation (SD), and the variance. Standard Deviation: The standard deviation measures the dispersion or spread of the data points around the mean. A standard deviation of approximately 17.39 years suggests a high level of variability in the number of years people have been smoking. Furthermore, a standard deviation of 17.39 is substantial, indicating that the data point is widely distributed across a broad spectrum of value (Salkind, 2017). Sample Variance: The variance is the square of the standard deviation. A variance of approximately 302.33 further confirms the high variability in the number of years people have been smoking. Range: The range is the difference between the highest and lowest values. Here, the range is 60 years, indicating a widespread in the data. Minimum and Maximum: The minimum value is the smallest value in the dataset, and the maximum value is the largest. In this case, the minimum is 0 years, and the maximum is 60 years, further illustrating the wide range in the number of years people have been smoking. According to Salkind (2017) Range is the difference between the highest and the lowest numbers in a data distribution, SD is the average distance that the scores are from the mean, and the variance is the value of the SD squared. These statistics provide a comprehensive summary of the dataset, offering insights into the average number of years people have been smoking and the variability in these numbers (Salkind, 2017)
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