Given the following observations from a sample, calculate the mean, the median, and the mode. (Round "mean" to 2 decimal places.)
96 93 93 97 95
First, let's arrange the data in ascending order:
93, 93, 95, 96, 97
Mean:
To find the mean, we sum up all the values and divide by the total number of values. In this case, we have:
93 + 93 + 95 + 96 + 97 = 474
The total number of values is 5.
Mean = 474 / 5 = 94.80 (rounded to 2 decimal places)
Median:
To find the median, we need to find the middle value of the data set. Since we have an odd number of observations, the middle value is the third value, which is 95.
Median = 95
Mode:
The mode is the value that appears most frequently in the data set. In this case, both 93 and 97 appear twice, so there is no mode.
Therefore, the mean is 94.80, the median is 95, and there is no mode.
To calculate the mean, you need to add up all the values and then divide the sum by the total number of values.
Sum of all values = 96 + 93 + 93 + 97 + 95 = 474
Total number of values = 5
Mean = Sum of all values / Total number of values = 474 / 5 = 94.8
To calculate the median, you need to arrange the values in ascending order and find the middle value.
Arranging the values in ascending order: 93, 93, 95, 96, 97
Since there are an odd number of values (5), the median is the middle value, which is 95.
To calculate the mode, you need to find the value that occurs most frequently in the sample.
From the observations, the value 93 occurs twice, while the other values each occur once. Therefore, the mode is 93.