Answer to Question #311940 in Statistics and Probability for DAVID MWIKYA

Question

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

i) The value of x given that the median mark is 44.357 (2marks)

ii) The value of y given that the modal is 43.0 (2marks)

iii) Draw an ogive of the data in (a) above (3 marks)

Use the ogive above to estimate

i) The 8th decile (2marks)

ii) The 7-th percale (2marks)

iii) The lower quartile (2marks)