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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 by Direct Method. - Algebra

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Sum

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 by direct method.

Time (hrs.) 0 - 2 2 - 4 4 - 6 6 - 8 8 - 10
No. of students 7 18 12 10 3
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Solution

Class
(Time in hours)
Class Mark
xi
Frequency
(Number of students)
fi
Class mark × Frequency
xif
0 - 2 1 7 7
2 - 4 3 18 54
4 - 6 5 12 60
6 - 8 7 10 70
8 - 10 9 3 27
    \[\sum_{} f_i = 50\] \[\sum_{} x_i f_i = 218\]

Mean = \[\frac{\sum_{} x_i f_i}{\sum_{} f_i}\]

\[= \frac{218}{50}\]

= 4.36 hours
Hence, the mean time spent by students for their studies is 4.36 hours.

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 6.1 | Q 1 | Page 138
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