Answered

The table shoes the numbers of students who obtained different marks out of ten marks
Marks:0,1,2,3,4,5,6,7,8,9,10
Frequency:2,3,4,6,1,4,2,2,1,3,2
Find the mode and median of the distribution.
Calculate the mean of the distribution

The table shoes the numbers of students who obtained different marks out of ten marks Marks012345678910 Frequency23461422132 Find the mode and median of the dis class=


Answer :

1frogaroni
To find the mode, we look for the most frequent score. In this case, it's 3, as it appears 6 times. So, the mode is 3.

To find the median, we arrange the scores in ascending order and find the middle value. The total frequency is 30 (sum of all frequencies). The cumulative frequency at the midpoint (15th position) is in the interval 2 to 3. Since 15 falls within the interval 4 to 6, the median lies within the score of 3.

To calculate the mean, we multiply each score by its frequency, sum these products, and divide by the total frequency. The calculation looks like this:

Mean = (0*2 + 1*3 + 2*4 + 3*6 + 4*1 + 5*4 + 6*2 + 7*2 + 8*1 + 9*3 + 10*2) / 30

Mean = (0 + 3 + 8 + 18 + 4 + 20 + 12 + 14 + 8 + 27 + 20) / 30

Mean = 134 / 30

Mean = 4.47

So, the mode is 3, the median is 3, and the mean is approximately 4.47.

Other Questions