Question

the below shows the distribution of marks obtained by a group of students in a mathematics test............... The marks are : 5,6,7,8,9,10. And the number of students are : 4,8,10,7,13,3..... Calculate the mean,median, mode,range.​

Answer 1

Hey there!

We have:

4 students with 5 marks.

8 students with 6 marks.

10 students with 7 marks.

7 students with 8 marks.

13 students with 9 marks.

3 students with 10 marks.

Thus, the mean is:
`(4(5)+8(6)+10(7)+7(8)+13(9)+3(10))/(4+8+10+7+13+3)`, or around 7.58 marks.

The median is the middle number and since we have 45 people, the middle number would be the 23rd. 4+8+10+1=23, Thus, 8 marks i s the median.

The mode is the most common score, which is 9.

The range is the range of all the values, which is from 5-10. Thus, giving us a range of 10-5, or 5.

Hope this helps :)