Question
The results of a class test are as follows.
43% 44% 75% 21% 98% 86% 71% 76% 63% 55%
4.1 Calculate the mean.
(3)
4.2 How many students scored below the mean mark?
(1)
4.3 Find the median.
(2)
43% 44% 75% 21% 98% 86% 71% 76% 63% 55%
4.1 Calculate the mean.
(3)
4.2 How many students scored below the mean mark?
(1)
4.3 Find the median.
(2)
Answers
GPT 3.5
To calculate the mean, you add up all the scores and divide by the total number of scores:
43% + 44% + 75% + 21% + 98% + 86% + 71% + 76% + 63% + 55% = 692%
692% / 10 = 69.2%
So, the mean mark is 69.2%.
To find the number of students who scored below the mean mark, you need to count how many scores are below 69.2%. From the given scores, there are 3 scores below 69.2% (43%, 44%, and 21%).
Therefore, 3 students scored below the mean mark.
To find the median, you need to arrange the scores in numerical order:
21%, 43%, 44%, 55%, 63%, 71%, 75%, 76%, 86%, 98%
The median is the middle value in the list. Since there is an even number of scores, you find the average of the two middle values:
The middle two values are 63% and 71%.
(63% + 71%) / 2 = 67%
So, the median mark is 67%.
43% + 44% + 75% + 21% + 98% + 86% + 71% + 76% + 63% + 55% = 692%
692% / 10 = 69.2%
So, the mean mark is 69.2%.
To find the number of students who scored below the mean mark, you need to count how many scores are below 69.2%. From the given scores, there are 3 scores below 69.2% (43%, 44%, and 21%).
Therefore, 3 students scored below the mean mark.
To find the median, you need to arrange the scores in numerical order:
21%, 43%, 44%, 55%, 63%, 71%, 75%, 76%, 86%, 98%
The median is the middle value in the list. Since there is an even number of scores, you find the average of the two middle values:
The middle two values are 63% and 71%.
(63% + 71%) / 2 = 67%
So, the median mark is 67%.