Final answer:
The correct answer is option A) Mean: 50, Median: 44, Mode: No mode. The mean is calculated by dividing the sum of the numbers by the count, the median is the middle value when ordered, and the mode is the most frequent number which does not exist in this data set.
Step-by-step explanation:
To find the mean, add all the numbers in the data set together and then divide by the number of values in the set. For the given data set (35, 44, 77, 68, 43, 55, 28), the mean is calculated as follows: (35 + 44 + 77 + 68 + 43 + 55 + 28) ÷ 7, which equals 350 ÷ 7 or 50.
The median is the middle number when a data set is ordered from least to greatest. For the given data set, when ordered (28, 35, 43, 44, 55, 68, 77), the median is the fourth number, which is 44.
The mode is the number that appears most frequently in a data set. In the given data set, no number repeats, so there is no mode.
Therefore, the correct answer from the choices provided is:
Mean: 50, Median: 44, Mode: No mode.
This corresponds to option A).