Calculate the mean mark in the distribution given below : Marks 1 - 10 11 - 20 21 - 30 31 - 40 41 - 50 51 - 60 Frequency 7 9 15 8 6 5 Also, state : (i) the median class, (ii) the modal class.

Marks Class mark frequency f d = x - a f d 1 - 10 5 . 5 7 - 30 - 210 11 - 20 15 . 5 9 - 20 - 180 21 - 30 25 . 5 1 . 5 - 10 - 150 31 - 40 35 . 5 8 0 0 41 - 50 45 . 5 6 10 60 51 - 60 55 . 5 5 20 100 total 50 - 380 Here a = 35 . 5 x ¯ = a + Σfd Σf = 35 . 5 + - 380 50 = 35 . 5 - 7 . 6 = 27 . 9 Class frequency Cumulative frequency 0 - 10 7 7 11 - 20 9 16 20 - 30 15 31 31 - 40 8 39 41 - 50 6 45 51 - 60 5 50 total 50 (i) table in cumulative frequency Here n = 50 Median = 50 2 = 25 Which lies in C . f = 3 (ii) Max frequency in Class 21 - 30 Modal Class is 21 - 30

Calculate the mean, the median and the mode of the following distribution : Marks 3 4 5 6 7 8 9 10 Frequency 3 5 8 7 9 4 3 1

Marks Number of boys C . f f x 3 3 3 9 4 5 8 20 5 8 16 40 6 7 23 42 7 9 32 63 8 4 36 32 9 3 39 27 10 1 40 10 total 40 243 Mean = Σ f x Σ f = 243 40 = 6 . 075 (ii) Median n = 40 n 2 = 20 Contained in C . f . = 23 Median = 6 Since Maximum frequency is 9 Mode = 7

Draw an ogive for the following distribution: Income in ₹ 120 - 140 140 - 160 160 - 180 180 - 200 200 - 220 220 - 240 Number of employees. 30 72 90 80 70 28 Use the ogive drawn to determine: The median income.

Income No. of employees C . f 120 - 140 30 30 140 - 160 72 102 160 - 180 90 192 180 - 200 80 272 200 - 220 70 342 220 - 240 28 370 n = 370 Plot 140 , 30 160 , 102 180 , 192 200 , 272 240 , 370 on graph Now, n = 370 n = 370 2 n = 185 from M 185 draw ⊥ to N from N draw parallel line to x - axis which meets y - axis at P which is 179

Draw an ogive for the following distribution: Income in ₹ 120 - 140 140 - 160 160 - 180 180 - 200 200 - 220 220 - 240 Number of employees. 30 72 90 80 70 28 Use the ogive drawn to determine: The number of employees whose income exceeds ₹ 190 .

Income No. of employees C . f 120 - 140 30 30 140 - 160 72 102 160 - 180 90 192 180 - 200 80 272 200 - 220 70 342 220 - 240 28 370 n = 370 Plot 140 , 30 160 , 102 180 , 192 200 , 272 240 , 370 on group from M 185 draw ⊥ to N from N draw parallel line to x - axis which meets y - axis at P which is 179

The result of an examination is tabulated below: Marks (less than) 10 20 30 40 50 60 70 80 90 100 Number of candidates. 0 25 42 65 95 120 128 135 148 150 Draw the ogive for the above data and from it determine: The number of candidates who got marks less than 45 .

Marks No. of candidate 10 0 20 25 30 42 40 65 50 95 60 120 40 128 80 135 90 148 100 150 Plot 10 , 0 20 , 25 30 , 42 40 , 65 50 , 95 60 , 120 70 , 128 80 , 135 90 , 148 100 , 150 on graph from P 45 ⊥ per meeting curve at a from Q draw QR parallel to x - axis which meet R at 80

The result of an examination is tabulated below: Marks (less than) 10 20 30 40 50 60 70 80 90 100 Number of candidates. 0 25 42 65 95 120 128 135 148 150 Draw the ogive for the above data and from it determine: The number of candidates who got marks more than 75 .

Marks No. of candidate 10 0 20 25 30 42 40 65 50 95 60 120 40 128 80 135 90 148 100 150 take point L 75 draw ⊥ to x - axis meeting curve at M from M . draw a line parallel to x - axis meeting y - axis at N which is 131 ∴ No. of candidate who get marks more than 150 = 150 - 131 = 19

HARD

10th ICSE

IMPORTANT

Earn 100

From the top of a lighthouse, it is observed that a ship is sailing directly towards it and the angle of depression of the ship changes from $30 °$ to $45 °$ in $10$ minutes. Assuming that the ship is sailing with uniform speed; calculate in how much more time (in minutes) will the ship reach the lighthouse?

Important Questions on Chapterwise Revision Exercise

HARD

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 26 - Chapterwise Revision Exercise>CHAPTERWISE REVISION EXERCISE>Q 101

Calculate the mean mark in the distribution given below :

Marks	$1 - 10$	$11 - 20$	$= \frac{1.732 \times 10}{0.732}$	$31 - 40$	$41 - 50$	$51 - 60$
Frequency	$7$	$9$	$15$	$8$	$6$	$5$

Also, state : (i) the median class, (ii) the modal class.

HARD

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 26 - Chapterwise Revision Exercise>CHAPTERWISE REVISION EXERCISE>Q 101

Calculate the mean, the median and the mode of the following distribution :

Marks	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$
Frequency	$3$	$5$	$8$	$7$	$9$	$4$	$3$	$1$

HARD

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 26 - Chapterwise Revision Exercise>CHAPTERWISE REVISION EXERCISE>Q 102

Draw an ogive for the following distribution:

Income in $₹$	$120 - 140$	$140 - 160$	$160 - 180$	$180 - 200$	$200 - 220$	$220 - 240$
Number of employees.	$30$	$72$	$90$	$80$	$70$	$28$

Use the ogive drawn to determine: The median income.

HARD

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 26 - Chapterwise Revision Exercise>CHAPTERWISE REVISION EXERCISE>Q 102

Draw an ogive for the following distribution:

Income in $₹$	$120 - 140$	$140 - 160$	$160 - 180$	$180 - 200$	$200 - 220$	$220 - 240$
Number of employees.	$30$	$72$	$90$	$80$	$70$	$28$

Use the ogive drawn to determine:

The number of employees whose income exceeds $₹ 190 .$

EASY

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 26 - Chapterwise Revision Exercise>CHAPTERWISE REVISION EXERCISE>Q 103

The result of an examination is tabulated below:

Marks (less than)	$10$	$20$	$30$	$40$	$50$	$60$	$70$	$80$	$90$	$100$
Number of candidates.	$0$	$25$	$42$	$65$	$95$	$120$	$128$	$135$	$148$	$150$

Draw the ogive for the above data and from it determine: The number of candidates who got marks less than $45 .$

EASY

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 26 - Chapterwise Revision Exercise>CHAPTERWISE REVISION EXERCISE>Q 103

The result of an examination is tabulated below:

Marks (less than)	$10$	$20$	$30$	$40$	$50$	$60$	$70$	$80$	$90$	$100$
Number of candidates.	$0$	$25$	$42$	$65$	$95$	$120$	$128$	$135$	$148$	$150$

Draw the ogive for the above data and from it determine: The number of candidates who got marks more than $75 .$

MEDIUM

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 26 - Chapterwise Revision Exercise>CHAPTERWISE REVISION EXERCISE>Q 104

A bag contains a red ball, a blue ball and a yellow ball, all the balls being of the same size. If a ball is drawn from the bag, without looking into it, find the probability that the ball drawn is yellow.

MEDIUM

10th ICSE

IMPORTANT

Concise Mathematics>Chapter 26 - Chapterwise Revision Exercise>CHAPTERWISE REVISION EXERCISE>Q 104

Important Questions on Chapterwise Revision Exercise

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