Find the mean, median, and mode of the data set: 45, 52, 17, 63, 57, 42, 54, 58.
To find the mean, median, and mode of the data set, we need to first arrange the numbers in numerical order:
17, 42, 45, 52, 54, 57, 58, 63
Mean:
To find the mean, add up all the numbers in the data set and divide by the total number of values.
Mean = (17 + 42 + 45 + 52 + 54 + 57 + 58 + 63) / 8
Mean = 388 / 8
Mean = 48.5
Median:
To find the median, we need to find the middle value in the ordered data set. Since there are 8 values in the data set, the median is the average of the two middle values.
Median = (45 + 52) / 2
Median = 97 / 2
Median = 48.5
Mode:
The mode is the number that appears most often in the data set.
In this data set, 45 is the only number that appears more than once, so the mode is 45.
Therefore, the mean is 48.5, the median is 48.5, and the mode is 45.
wrong
I apologize for the mistake. Let's recalculate the mean, median, and mode of the data set 45, 52, 17, 63, 57, 42, 54, 58.
Mean:
To find the mean, add up all the numbers and divide by the total number of values.
Mean = (45 + 52 + 17 + 63 + 57 + 42 + 54 + 58) / 8
Mean = 388 / 8
Mean = 48.5
Median:
To find the median, we first need to arrange the numbers in numerical order:
17, 42, 45, 52, 54, 57, 58, 63
Since there are 8 numbers, the median is the average of the two middle numbers:
Median = (52 + 54) / 2
Median = 106 / 2
Median = 53
Mode:
The mode is the number that appears most frequently in the data set.
In this case, there is no number that appears more than once, so there is no mode.
Therefore, the mean of the data set is 48.5, the median is 53, and there is no mode.