You are given below the daily wages paid to the workers in the two factories X and Y: Daily Wages: 12-14 14-16 16-18 18-20 20-22 22-24 24-26 Factory X: 15 30 44 60 40 14 7 Factory Y :25 40 60 35 12 15 5 .Which factory show greater uniformity in their wages structure?
Answer:
Class
(Time in hours) Class Mark
xi Frequency
(Number of students)
fi Class mark × Frequency
xifi
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
∑fi=50 ∑xifi=218
Mean = ∑xifi∑fi
=21850
= 4.36 hours
Hence, the mean time spent by students for their studies is 4.36 hours.
Step-by-step explanation:
Class
(Time in hours) Class Mark
xi Frequency
(Number of students)
fi Class mark × Frequency
xifi
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
∑fi=50 ∑xifi=218
Mean = ∑xifi∑fi
=21850
= 4.36 hours
Hence, the mean time spent by students for their studies is 4.36 hours.