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Standard VII

Mathematics

Mean for Frequency Distribution Table

Rating 1 2...

Question

Rating $1$ $2$ $3$ $4$ $5$
Frequency $1$ $3$ $5$ $5$ $6$
The given frequency table gives the $20$ customer ratings for a XARA product sold online. What is the mean rating for this product?

3.6

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3.8

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4

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Solution

The correct option is A $3.6$
Rating (x) Frequency(f) fx
1 1 $1 \times 1 = 1$
2 3 $2 \times 3 = 6$
3 5 $3 \times 5 = 15$
4 5 $4 \times 5 = 20$
5 6 $5 \times 6 = 30$
$\sum f x = 1 + 6 + 15 + 20 + 30 = 72$

Mean $=$ $\frac{72}{20} = 3.6$

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Q. Rate For the reaction

A + B \to p r o d u c t s

, what will be the order of reaction with respect of

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Exp.	$[A] (m o l L^{- 1})$	$[B] (m o l L^{- 1})$	Initial rate $(m o l L^{- 1} s^{- 1})$
$1.$	$2.5 \times 10^{- 4}$	$3 \times 10^{- 5}$	$5 \times 10^{- 4}$
$2.$	$5 \times 10^{- 4}$	$6 \times 10^{- 5}$	$4 \times 10^{- 3}$
$3.$	$1 \times 10^{- 3}$	$6 \times 10^{- 5}$	$1.6 \times 10^{- 2}$

Q. Sketch frequency polygon for the following table:

$x$	$1 - 3$	$3 - 5$	$5 - 7$	$7 - 9$	$9 - 11$	$11 - 13$
frequency	$2$	$1$	$4$	$2$	$3$	$6$

Q. In a study of number of accidents per day, the observations for

30

days were obtained as follows:

6356432542

4053615526

2122054616

Construct a suitable frequency distribution table.

$\begin{matrix} N u m b e r o f C u p s & F r e q u e n c y & C u m u l a t i v e F r e q u e n c y 2 & 1 & 1 3 & 3 & 4 4 & - - - - & 9 5 & 7 & 16 6 & 4 & 20 \end{matrix}$

For the above given frequency table, find the missing frequency.

Q. In a study of number of accidents per day, the observations for 30 days were obtained as follows:

6	3	5	6	4	3	2	5	4	2
4	2	1	2	2	0	5	4	6	1
6	0	5	3	6	1	5	5	2	6

Prepare a frequency distribution table.

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Rating (x)	Frequency(f)	fx
1	1	$1 \times 1 = 1$
2	3	$2 \times 3 = 6$
3	5	$3 \times 5 = 15$
4	5	$4 \times 5 = 20$
5	6	$5 \times 6 = 30$

Rating1 2 3 4 5 Frequency1 3 5 5 6 The given frequency table gives the 20 customer ratings for a XARA product sold online. What is the mean rating for this product?

The correct option is A 3.6 Rating (x) Frequency(f) fx 11 1×1=1 23 2×3=6 35 3×5=15 45 4×5=20 5 6 5×6=30∑fx=1+6+15+20+30=72Mean = 7220=3.6

Rating $1$ $2$ $3$ $4$ $5$
Frequency $1$ $3$ $5$ $5$ $6$
The given frequency table gives the $20$ customer ratings for a XARA product sold online. What is the mean rating for this product?

The correct option is A $3.6$
Rating (x) Frequency(f) fx
1 1 $1 \times 1 = 1$
2 3 $2 \times 3 = 6$
3 5 $3 \times 5 = 15$
4 5 $4 \times 5 = 20$
5 6 $5 \times 6 = 30$
$\sum f x = 1 + 6 + 15 + 20 + 30 = 72$

Mean $=$ $\frac{72}{20} = 3.6$