The following data about the flow of liquid was observed in a continuous chemical process plant.

Flow rate (litres/sec) Frequency

7.5 to 7.7 1

7.7 to 7.9 5

7.9 to 8.1 35

8.1 to 8.3 17

8.3 to 8.5 12

8.5 to 8.7 10

Mean flow rate of the liquid is

8.00 litres/sec

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8.06 litres/sec

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8.16 litres/sec

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8.26 litres/sec

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Solution

The correct option is C 8.16 litres/sec
$Mean = \frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{652.8}{80} = 8.16$

Range $f_{i}$ Mid value $x_{i}$ $f_{i} x_{i}$

7.5-7.7 1 7.6 7.6

7.7-7.9 5 7.8 39.0

7.9-8.1 35 8.0 280.0

8.1-8.3 17 8.2 139.4

8.3-8.5 12 8.4 100.4

8.5-8.7 10 8.6 86.0

$\sum = 80$ $\sum = 652.8$

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Similar questions

In two experiments with a continuous flow calorimeter to determine the specific heat capacity of a liquid, an input power of $60$ W produced a rise of $10$ K in the liquid. When the power was doubled, the same temperature rise was achieved by making the rate of flow of liquid three times faster. The power lost to the surrounding in each case was :

Q. Use the formula :

(a + b) (a - b) = a^{2} - b^{2}

to evaluate :

7.7 \times 8.3

Q. Use the identity

(a + b) (a - b) = a^{2} - b^{2}

to evaluate:

8.3 \times 7.7

The degree of hydrolysis and pH of $0.1 M$ sodium acetate solution are:
Hydrolysis constant of sodium acetate is $5.6 \times 10^{- 10}$ .

Q. To calculate the rate of flows of a liquid, which of the following is used :

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Flow rate (litres/sec)	Frequency
7.5 to 7.7	1
7.7 to 7.9	5
7.9 to 8.1	35
8.1 to 8.3	17
8.3 to 8.5	12
8.5 to 8.7	10

Range	$f_{i}$	Mid value $x_{i}$	$f_{i} x_{i}$
7.5-7.7	1	7.6	7.6
7.7-7.9	5	7.8	39.0
7.9-8.1	35	8.0	280.0
8.1-8.3	17	8.2	139.4
8.3-8.5	12	8.4	100.4
8.5-8.7	10	8.6	86.0
	$\sum = 80$		$\sum = 652.8$

The following data about the flow of liquid was observed in a continuous chemical process plant. Flow rate (litres/sec) Frequency 7.5 to 7.7 1 7.7 to 7.9 5 7.9 to 8.1 35 8.1 to 8.3 17 8.3 to 8.5 12 8.5 to 8.7 10 Mean flow rate of the liquid is

The correct option is C 8.16 litres/sec Mean=∑fixi∑fi=652.880=8.16 Range fi Mid value xi fi xi 7.5-7.7 1 7.6 7.6 7.7-7.9 5 7.8 39.0 7.9-8.1 35 8.0 280.0 8.1-8.3 17 8.2 139.4 8.3-8.5 12 8.4 100.4 8.5-8.7 10 8.6 86.0 ∑=80 ∑=652.8

The following data about the flow of liquid was observed in a continuous chemical process plant.

Flow rate (litres/sec) Frequency

7.5 to 7.7 1

7.7 to 7.9 5

7.9 to 8.1 35

8.1 to 8.3 17

8.3 to 8.5 12

8.5 to 8.7 10

Mean flow rate of the liquid is