The following scores were recorded on a 100-point examination:
95,75,76,86,96,71,68,81,95,76,69,82,93,88,94
Find the mean and median final examination scores.
mean:83
median:82
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Thanks for asking.
To find the mean (average) of a set of numbers, you need to add up all the numbers and then divide the sum by the total count of numbers.
In this case, the scores are:
95, 75, 76, 86, 96, 71, 68, 81, 95, 76, 69, 82, 93, 88, 94
To find the mean, add up all the numbers:
95 + 75 + 76 + 86 + 96 + 71 + 68 + 81 + 95 + 76 + 69 + 82 + 93 + 88 + 94 = 1285
Then, divide the sum by the total count of numbers (which is 15 in this case):
1285 รท 15 = 85.6667 (rounded to four decimal places)
So, the mean final examination score is approximately 85.6667.
Now, let's find the median. The median is the middle value when the numbers are arranged in ascending order. If there is an even count of numbers, the median is the average of the two middle values.
First, let's sort the scores in ascending order:
68, 69, 71, 75, 76, 76, 81, 82, 86, 88, 93, 94, 95, 95, 96
Since there are 15 scores, which is an odd count, the median is the middle value. In this case, the middle value is the 8th score, which is 82.
So, the median final examination score is 82.