A student had taken 7 tests and received scores of 88, 73, 81, 83, 79, 73, and 97. what is the median, mode, and range of the test scores
Mathematics · High School · Mon Jan 18 2021
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Given the statement:
A student had taken 7 test and received scores of 88, 73, 81, 83, 79, 73 and 97
Determine the mean, median mode and range of the test scores.
Solution:
We can determine the answers for each by starting with the range of the test scores. In order to determine the range of the test scores, we simply subtract the highest value or score that the student have with lowest score.
Highest score = 97
Lowest score = 73
Range = Highest score - Lowest score
Range = 97 - 73
Range = 24
The range of the test scores is 24.
The next step is to calculate the mean. In calculating the mean, it is the same as finding the average of the set of numbers, whereas we need to add all the total numbers together and then divide it by the number of values.
number of values = 7 (since 7 test)
Mean = Summation of values/number of values
Mean = ( 88 + 81 + 73 + 83 + 79+ 73 + 97)/7
Mean = (574)/7
Mean = 82
The mean of the test scores is 82.
Next we can solve for the median. In order to find the median, we arrange the values from least to greatest and simply look at the middle value.
73, 73, 79, 81, 83, 88, 97
It can be seen that the middle value is 81.
The median of the test scores is 81.
Lastly for calculating the mode, we just simply need to look at most occurring values, in our case we have two 73's, therefore it is considered to be the mode.
The mode of the test scores is 73.
Final answer:
The range of the test scores is 24.
The mean of the test scores is 82.
The median of the test scores is 81.
The mode of the test scores is 73.