Final answer:
To calculate the mean, add all values and divide by their number. The median is the middle value of the ordered data or the average of the two middle values. The mode is the most frequently occurring value, and the range is the difference between the highest and lowest values.
Step-by-step explanation:
Finding the Mean, Median, Mode, and Range
To find the mean, you add all the numbers and divide by the number of values. For the high temperatures, the mean is (51 + 36 + 28 + 55 + 32 + 61 + 47 + 34) / 8 = 344 / 8 = 43. The low temperatures have a mean of (38 + 24 + 20 + 40 + 20 + 32 + 35 + 19) / 8 = 228 / 8 = 28.5.
The median is the middle value when the data is ordered. For the high temperatures, ordered data is 28, 32, 34, 36, 47, 51, 55, 61. The median is the average of the fourth and fifth values, which is (36 + 47) / 2 = 41.5. For the low temperatures, the ordered data is 19, 20, 20, 24, 32, 35, 38, 40, with the median being (24 + 32) / 2 = 28.
The mode is the most frequent value. The high temperatures have no mode since no value repeats. The low temperatures also have no mode for the same reason.
The range is the difference between the highest and lowest values. For the high temperatures, the range is 61 - 28 = 33. For the low temperatures, the range is 40 - 19 = 21.