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Maharashtra State BoardSSC (English Medium) 10th Standard

The Following Table Shows the Number of Students and the Time They Utilized Daily for Their Studies. Find the Mean Time, Spent by Students for Their Studies: - Algebra Mathematics 1

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Questions

The following table shows the number of students and the time they utilized daily for their studies. Find the mean time spent by students for their studies: 

Time (hrs.) No. of students
0 - 2 8
2 - 4 14
4 - 6 18
6 - 8 10
8 - 10 10

The following table shows the number of students and the time they utilized daily for their studies. Find the mean time spent by students for their studies:

Class
(Time in hours)
Class Mark
(xi)
Number of students
(fi)
fixi 
0 - 2 1 8 8
2 - 4 3 14 42
4 - 6 5 18 90
6 - 8 7 10 70
8 - 10 9 10 90
Sum
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Solution

Class
(Time in hours)
Class Mark
xi
Frequency
(Number of students)
fi
Class mark × Frequency
fixi
0 - 2 1 8 8
2 - 4 3 14 42
4 - 6 5 18 90
6 - 8 7 10 70
8 - 10 9 10 90
    ∑fi = 60 ∑fixi = 300

Mean = `(sum f_i x_i)/(sum f_i)`

= `300/60`

= 5 hours

∴ The mean time spent by students for their studies is 5 hours.

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2018-2019 (July) Set 1
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