Find the mean, median, and mode of the data set. Round to the nearest tenth.
15, 13, 9, 9, 7, 1, 11, 10, 13, 1, 13
(1 point)
Responses
a. mean = 9.3, median = 8, mode = 13
b. mean = 8.5, median = 10, mode = 13
c. mean = 9.3, median = 10, mode = 13
d. mean = 8.5, median = 10, mode = 8
To find the mean, add up all the numbers in the data set and then divide by the total number of values:
Mean = (15 + 13 + 9 + 9 + 7 + 1 + 11 + 10 + 13 + 1 + 13) / 11
Mean = 112 / 11
Mean = 10.2 (rounded to the nearest tenth)
To find the median, arrange the data set in numerical order and find the middle value. Since there are 11 numbers, the middle value is the average of the 6th and 7th values:
Median = (7 + 9) / 2
Median = 8
To find the mode, identify the number that appears most frequently. In this data set, the numbers 13, 9, and 1 all appear 3 times, so they are all modes.
Therefore, the correct answer is:
c. mean = 10.2, median = 8, mode = 13, 9, 1