मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

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.

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प्रश्न

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
बेरीज
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उत्तर

Time Class mark (xi) No. of students (fi) xi × fi
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
Total   `bb(sumf_i=50)` `bb(sumx_ixxf_i=218)`

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

= `218/50`

= `109/25`

= 4.36 hours

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

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पाठ 6: Statistics - Practice Set 6.1 [पृष्ठ १३८]
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