Find the mean, median, mode, and range of the data set.
Daily temperature in degrees Celsius: 24, 24, 25, 27, 31, 32, 38, 39
A. mean = 24, median = 30, mode = 29, range = 16
B. mean = 29, median = 30, mode = 24, range = 15
C. mean = 30, median = 29, mode = 24, range = 15
D. mean = 30, median = 24, mode = 29, range = 16
First, let's find the mean of the data set. To do this, we will add all the temperatures together and then divide by the number of values.
mean = (24+24+25+27+31+32+38+39)/8 = 240/8 = 30
Next, let's find the median. To do this we must arrange the data set in increasing order:
24, 24, 25, 27, 31, 32, 38, 39
There are 8 values, which is an even number, so the median will be the average of the two middle values, 25 and 31:
median = (25+31)/2 = 56/2 = 28
Now, let's find the mode. The mode is the value that appears most frequently in the data set. In our list, 24 appears twice, while all other values appear only once. So, the mode is 24.
Finally, let's find the range. To do this we subtract the lowest temperature from the highest temperature:
range = 39 - 24 = 15
So, the mean is 30, the median is 28, the mode is 24, and the range is 15.
None of the answer choices exactly match our results, but answer choice B is the closest. It has the correct mean (29 actually should have been 30), mode, and range, but it has the median slightly off (30 instead of 28). So, select answer choice B.