# The Following Table Shows Classification of Number of Workers and the Number of Hours They Work in a Software Company. Find the Median of the Number of Hours They Work. - Algebra

Sum

The following table shows classification of number of workers and the number of hours they work in a software company. Find the median of the number of hours they work.

 Daily No. of hours 8 - 10 10 - 12 12 - 14 14 - 16 Number of workers 150 500 300 50

#### Solution

 Class (Number of working hours) Frequency(Number of workers)fi Cumulaive frequencyless than theupper limit 8 - 10 150 150 10 - 12(Median Class) 500 650 12 - 14 300 950 14 - 16 50 1000 $N = 1000$

From the above table, we get
L (Lower class limit of the median class) = 10
N (Sum of frequencies) = 1000
h (Class interval of the median class) = 2
f (Frequency of the median class) = 500
cf (Cumulative frequency of the class preceding the median class) = 150
Now, Median = $L + \left( \frac{\frac{N}{2} - cf}{f} \right) \times h$
$= 10 + \left( \frac{\frac{1000}{2} - 150}{500} \right) \times 2$
$= 10 + 1 . 4$
$= 11 . 4\text{ hours }$

Hence, the median of the number of hours they work is 11.4 hours.

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Chapter 6: Statistics - Practice Set 6.2 [Page 145]

#### APPEARS IN

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

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