Understanding ISC Mathematics Class 11 Volume 2>Chapter 14 - Statistics>EXERCISE>Q 15

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The following table gives the daily wages of $50$ workers of a factory:

Wages $(in ₹)$ $25 - 30$ $30 - 35$ $35 - 40$ $40 - 45$ $45 - 50$ $50 - 55$ $55 - 60$

Number of workers $2$ $1$ $5$ $9$ $21$ $10$ $2$

Calculate the average daily wages.

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Important Questions on Statistics

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 14 - Statistics>EXERCISE>Q 15

The following table gives the daily wages of $50$ workers of a factory:

Wages $(in ₹)$	$25 - 30$	$30 - 35$	$35 - 40$	$40 - 45$	$45 - 50$	$50 - 55$	$55 - 60$
Number of workers	$2$	$1$	$5$	$9$	$21$	$10$	$2$

If daily wages of all workers are increased by $₹ 8$ , what will be the new average daily wage?

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 14 - Statistics>EXERCISE>Q 15

The following table gives the daily wages of $50$ workers of a factory:

Wages $(in ₹)$	$25 - 30$	$30 - 35$	$35 - 40$	$40 - 45$	$45 - 50$	$50 - 55$	$55 - 60$
Number of workers	$2$	$1$	$5$	$9$	$21$	$10$	$2$

If, instead, the daily wages of all workers are increased by $20 %$ , what will be the new average daily wage?

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11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 14 - Statistics>EXERCISE>Q 16

A trader takes a sample of $50$ eggs and weights them. The following table gives his findings:

Weight of eggs $(in g)$	$80 - 84$	$85 - 89$	$90 - 94$	$95 - 99$	$100 - 104$	$105 - 109$	$110 - 114$
Frequency	$2$	$6$	$12$	$14$	$10$	$5$	$1$

Calculate the mean weight to the nearest $g$ .

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 14 - Statistics>EXERCISE>Q 16

A trader takes a sample of $50$ eggs and weights them. The following table gives his findings:

Weight of eggs $(in g)$	$80 - 84$	$85 - 89$	$90 - 94$	$95 - 99$	$100 - 104$	$105 - 109$	$110 - 114$
Frequency	$2$	$6$	$12$	$14$	$10$	$5$	$1$

If $10$ eggs each weighing $100$ g are added, what is the new mean weight? Calculate by using formula combined mean.

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Understanding ISC Mathematics Class 11 Volume 2>Chapter 14 - Statistics>EXERCISE>Q 17

The mean of the following distribution is $52 .$ Determine the value of $f :$

Marks	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$
No. of Students	$5$	$3$	$4$	$f$	$2$	$6$	$13$

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IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 14 - Statistics>EXERCISE>Q 18

The mean of the following distribution is $57.6$ and the sum of all the observations is $50 .$ Find the missing frequencies $f_{1}$ and $f_{2}$ :

Classes	$0 - 20$	$20 - 40$	$40 - 60$	$60 - 80$	$80 - 100$	$100 - 120$
Frequency	$7$	$f_{1}$	$12$	$f_{2}$	$8$	$5$

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IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 14 - Statistics>EXERCISE>Q 19

Heights of

10

students were recorded and the mean was calculated as

155.3 cm .

Later, it was found that the height of two students was wrongly copied as

163

and

167

instead of

133

and

137

. Calculate the mean height in

cm

removing the incorrect heights and including the correct heights.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 14 - Statistics>EXERCISE>Q 19

Heights of

10

students were recorded and the mean was calculated as

155.3 cm .

Later, it was found that the height of two students was wrongly copied as

163

and

167

instead of

133

and

137

. Calculate the mean using correct values rounded off to

3

decimal places.