Pls solve the following question - Maths - Triangles

Question

Pls solve the following question

Global Expert · Accepted Answer

Number of mangoes Number of boxes fi 50 − 52 15 53 − 55 110 56 − 58 135 59 − 61 115 62 − 64 25 It can be observed thatclass intervals are not continuous There is a gap of 1 between twoclass intervals Therefore,

has to be added to the upper class limit and

has to be subtracted from the lower class limit of each interval Class mark (xi)can be obtained by using the following relation

Class size (h)of this data = 3 Taking 57 as assumedmean (a), di, ui,fiui are calculatedas follows Class interval fi xi di = xi − 57

fiui 49 5 − 52 5 15 51 − 6 − 2 − 30 52 5 − 55 5 110 54 − 3 − 1 − 110 55 5 − 58 5 135 57 0 0 0 58 5 − 61 5 115 60 3 1 115 61 5 − 64 5 25 63 6 2 50 Total 400 25 It can be observed that

Mean number of mangoeskept in a packing box is 57 19 Step deviation methodis used here as the values of fi, diare big and also, there is a common multiple between all di

Number of mangoes	Number of boxes f_i
50 − 52	15
53 − 55	110
56 − 58	135
59 − 61	115
62 − 64	25

Class interval	f_i	x_i	d_i= x_i − 57		f_iu_i
49.5 − 52.5	15	51	− 6	− 2	− 30
52.5 − 55.5	110	54	− 3	− 1	− 110
55.5 − 58.5	135	57	0	0	0
58.5 − 61.5	115	60	3	1	115
61.5 − 64.5	25	63	6	2	50
Total	400				25