Select five random numbers between 70 and 100. Calculate the mean, median, mode, and midrange of these numbers. Based on your calculations, which measure of central tendency best represents these numbers?
To select five random numbers between 70 and 100, you can use a random number generator or manually choose five unique numbers within that range. Let's assume that the numbers you selected are 72, 85, 76, 92, and 80.
To calculate the mean, add up all the numbers and divide the sum by the total count. In this case, (72 + 85 + 76 + 92 + 80) / 5 = 81.
To find the median, arrange the numbers in ascending order (72, 76, 80, 85, 92) and find the middle value. Since there are five numbers, the median is the third number, which is 80.
The mode is the value that appears most frequently. In this case, none of the numbers appear more than once, so there is no mode.
The midrange is the average of the smallest and largest value. In this case, (72 + 92) / 2 = 82.
Based on these calculations, the mean, median, and midrange are 81, 80, and 82 respectively. Since the median and mode are very close to each other, they may be considered equally representative of the central tendency of these numbers.
However, the mean is affected by outliers more than the median and the midrange. If you have any outliers in your dataset, the median and the midrange may be considered more robust measures of central tendency. But in this case, since all the values are within a narrow range, the mean, median, and midrange are quite similar, so any of these measures could be considered a good representation of the central tendency of the numbers.