There are 150 students in a class. The distribution if their marks in a mathematics test are as follows

Class frequency

0-9 3

10-19 10

20-29 17

30-39 x

40-49 35

50-59 y

60-69 18

70-79 10

80-89 5

90-99 2

Required

1. The value of xgiven that the median mark is 44.357 (2marks)
2. The value of y given that the modal is 43.0 (2marks)
3. Draw an ogive of the data in (a) above (3 marks)

Use the ogive above to estimate

1. The 8^th decile (2marks)
2. The 7-th percale (2marks)
3. The lower quartile (2marks)