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
The fruit vendor has apples packed in boxes. Each box contains different numbers of apples. The following was the distribution of apples according to the number of boxes. Find the mean number of Apples kept in a packing box using the direct method.
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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
Find the mean and median number of mangoes kept in a packing box.
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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600−800 14 800−1000 22 1000−1200 30 1200−1400 18 1400−1600 16
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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
MATHEMATICS
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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
Ex 14.1, 5 - Chapter 14 Class 10 Statistics (Term 2)
Last updated at March 16, 2023 by Teachoo
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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
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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.
Guys, does anyone know the answer?