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The Frequency Distribution Table Shows the Number of Mango Trees in a Grove and Their Yield of Mangoes. Find the Median of Data. - Algebra

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Sum

The frequency distribution table shows the number of mango trees in a grove and their yield of mangoes. Find the median of data.

No. of Mangoes 50 - 100 100 - 150 150 - 200 200 - 250 250 - 300
No. of trees 33 30 90 80 17
 
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Solution

Class
(Number of working hours)
Frequency
(Number of workers)
fi
Cumulaive frequency 
less than the
upper limit
50 - 100 33 33
100 - 150  30 63
150 - 200
(Median Class)
90 153
200 - 250 80 233
250 - 300 17 250
  N = 250  

From the above table, we get

L (Lower class limit of the median class) = 150

N (Sum of frequencies) = 250

h (Class interval of the median class) = 50

f (Frequency of the median class) = 90

cf (Cumulative frequency of the class preceding the median class) = 63

Now, Median = \[L + \left( \frac{\frac{N}{2} - cf}{f} \right) \times h\]

\[= 150 + \left( \frac{\frac{250}{2} - 63}{90} \right) \times 50\]

= 150 + 34.44

= 184.44 mangoes

= 184 mangoes

Hence, the median of data is 184 mangoes.

Concept: Tabulation of Data
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APPEARS IN

Balbharati Mathematics 1 Algebra 10th Standard SSC Maharashtra State Board
Chapter 6 Statistics
Practice Set 6.2 | Q 2 | Page 145
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