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)

1 answer

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%.