Question

In a retail market, a fruit vendor was selling apples kept in packed boxes. These boxes contained varying number of apples. The following was the distribution of apples according to the number of boxes. Find the mean by the assumed mean number of apples kept in the box.
Number of apples
50-53
53-56
56-59
59-62
62-65

Number of boxes
20
150
115
95
20

Answer 1

Dear student,

Solution:

Number of apples -- Number of boxes ---- class mark xi --- di = xi-a fidi

50-53 ------------- 20 ------------------------51.5 ------------ ( -6) ------ (-120)

53-56 ----------------- 150----------------------- 54.5 --------------- ( -3) -------- (-450)

56-59----------------- 115 ----------------------- 57.5-----------------(0) -------------(0)

59-62 ----------------- 95-------------------------60.5-------------- (3)---------- ( 285)

62-65 ------------------ 20------------------------ 63.5---------------- (6)----------- (120)

____________________________________________________________

Assume a = 57.5

∑fi = 20+150+115+95+20 = 400

∑ fidi = -120 -450+0+285+120 = - 165

Assume mean method = a + (∑ fidi)/∑ fi

= 57.5 + (-165/400)

= 57.5 - 0.4125

= 57.08

Mean of the following data is = 57.08

approx 57 apples must kept in one box.

Hope it helps you.

Answer 2

Step-by-step explanation:

hope you understand

have a nice day