# in a retail market, fruit vendors were selling mangoes kept in packing boxes. these boxes contained varying number of mangoes. the following was the distribution of mangoes according to the number of boxes.

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## In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.Number of mangoes 50

Click here👆to get an answer to your question ✍️ In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.Number of mangoes 50 - 52 53 - 55 56 - 58 59 - 61 62 - 64 Number of boxes 15 110 135 115 25 Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

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In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.Question

Number of mangoes 50−52 53−55 56−58 59−61 62−64

Number of boxes 15 110 135 115 25

Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

Medium Open in App

Updated on : 2022-09-05

Solution Verified by Toppr

Number of mangoes Number of boxes x

i f i x i 50-52 15 51 765

53-55 110 54 5940

56-58 135 57 7695

59-61 115 60 6900

62-64 25 63 1575 Σf i =400 Σf i x i =22875 x ˉ = Σf i Σf i x i = 400 22875 =57.1875

Hence, the mean number of mangoes kept in a packing box is 57.1875.

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Mathematics NCERT Exercise 14.1 SIMILAR QUESTIONS

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In a retail market fruit vendor were selling mangoes in boxes. These boxes contained varying number of mangoes. The following was the distribution.Medium View solution >

No.of mangoes 50−52 53−55

56−58 59−61 62−64

No. of boxes 15 110 135 115 25

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In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.Medium View solution > No. of mangoes 50−52 53−55 56−58 59−61 62−64 No. of boxes 15 110 135 115 25

If mean number of mangoes kept in a pocket box. Which method of finding the mean did you choose?

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## Question 5 In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes. Number of mangoes 50 52 53 55 56 58 59 61 62 64 Number of boxes 15 110 135 115 25 Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

Question 5 In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes. Number of mangoes 50 52 53 55 56 58 59 61 62 64 Number of boxes 15 110 135 115 25 Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

Byju's Answer Standard X Mathematics

Mean for Ungrouped Data

Question 5 In... Question

In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.

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

Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

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

We may observe that class intervals are not continuous. There is a gap of

1

between two class intervals. So we have to add

1 2

to upper class limit and subtract

1 2

from lower class limit of each interval.

The class mark ( x i )

may be obtained by using the relation:

x i =

Upper class limit + lower class limit

2 Class size h of this data = 3

Since, the given data is large, we will use Assumed Mean Method to find the mean. This method helps in reducing the calculations and results in small numerical values. We will choose the assumed mean

( a )

in such a way so that the the value obtained in

d i

,cancel out each other.

Now, taking 57 as assumed mean ( a ) ; we may calculate d i , u i , f i u i as following – Class interval f i x i d i = x i − 57 f i d i 49.5 − 52.5 15 51 − 6 − 90 52.5 − 55.5 110 54 − 3 − 330 55.5 − 58.5 135 57 0 0 58.5 − 61.5 115 60 3 345 61.5 − 64.5 25 63 6 150 Total 400 75

Now, we may observe that:

∑ f i = 400 ∑ f i d i = 75 Mean ¯ x = a + ( ∑ f i d i ∑ f i ) = 57 + 75 400 = 57 + 0.1875 = 57.1875 = 57.2

Clearly, mean number of mangoes kept in a packing box is

57.2 . Suggest Corrections 107 Video Solution

NCERT - Grade 10 - Mathematics - Statistics - Q5

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SIMILAR QUESTIONS

**Q.**In a retail market , fruit vendors were selling mangoes kept in packed boxes. These boxes contained different number of mangoes. The following was the distribution of mangoes according to the number of boxes ?

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

Find the mean number of mangoes using step-deviation method.

**Q.**

Consider the following distribution of the number of mangoes being packed in cardboard boxes where these boxes contain varying number of mangoes. Find the mean number of mangoes kept in a packing box using assumed mean method.

N u m b e r o f M a n g o e s 50 − 52 53 − 55 56 − 58 59 − 61 62 − 64 N u m b e r o f b o x e s 15 110 135 115 25

Can the assumed mean be 60?

**Q.**In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.

Number of mangoes: 50−52 53−55 56−58 59−61 62−64

Number of boxes: 15 110 135 115 25

Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

EXPLORE MORE

Mean for Ungrouped Data

Standard X Mathematics

## Ex 14.1, 5

Ex 14.1, 5In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes. Find the mean number of mangoes kept in a packing box. Which method of finding th

**Check sibling questions**

## Ex 14.1, 5 - Chapter 14 Class 10 Statistics (Term 2)

Last updated at March 16, 2023 by Teachoo

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### Transcript

Ex 14.1, 5 In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes. Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose? Since there is a gap of 1 between intervals We add ½ to upper limit, and subtract ½ to lower limit Now, let’s find mean Mean(𝑥 ̅) = a + h × (∑▒𝒇𝒊𝒖𝒊)/(∑▒𝒇𝒊) Where a = Assumed mean h = Class interval = 57 = 52.5 – 49.5 = 3 Also, ∑▒𝒇𝒊 = 400 ∑▒𝒇𝒊𝒖𝒊 = 25 Putting values in formula Mean(𝒙 ̅) = a + h × (∑▒𝒇𝒊𝒖𝒊)/(∑▒𝒇𝒊) 𝑥 ̅ = 57 + 3 × 25/400 𝑥 ̅ = 57 + 0.1875 𝑥 ̅ = 57.1875 𝒙 ̅ = 57.19 Thus, Mean number of boxes is 57.19 We chose this method because calculation was easier

**Next**: Ex 14.1, 6 Important →

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### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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