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10th CBSE

IMPORTANT

Earn 100

Find the mode of the following distribution, rounded off to two decimal places.

Class Interval $0 - 10$ $10 - 20$ $20 - 30$ $30 - 40$ $40 - 50$ $50 - 60$ $60 - 70$ $70 - 80$

Frequency $5$ $8$ $7$ $12$ $28$ $20$ $10$ $10$

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Important Questions on Statistics

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.5>Q 3

Find the mode of the following distribution, rounded off to two decimal places.

Class interval	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$	$30 - 35$	$35 - 40$
Frequency	$30$	$45$	$75$	$35$	$25$	$15$

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.5>Q 3

Find the mode of the following distribution.

Class interval	$25 - 30$	$30 - 35$	$35 - 40$	$40 - 45$	$45 - 50$	$50 - 60$
Frequency	$25$	$34$	$50$	$42$	$38$	$14$

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.5>Q 4

Compare the modal ages of two groups of students appearing for an entrance test. Also find the sum of modal age of two group.

Age (in years):	$16 - 18$	$18 - 20$	$20 - 22$	$22 - 24$	$24 - 26$
Group A:	$50$	$78$	$46$	$28$	$23$
Group B:	$54$	$89$	$40$	$25$	$17$

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.5>Q 5

The marks in science of $80$ students of class X are given below. Find the mode of the marks obtained by the students in science.

Marks	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$	$90 - 100$
Frequency	$3$	$5$	$16$	$12$	$13$	$20$	$5$	$4$	$1$	$1$

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.5>Q 6

The following is the distribution of height of students of a certain class in a certain city:

Height (In cm)	$160 - 162$	$163 - 165$	$166 - 168$	$169 - 171$	$172 - 174$
Number of students	$15$	$118$	$142$	$127$	$18$

Find the average height of maximum number of students rounded off to two decimal places.

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.5>Q 7

The following table shows the ages of the patients admitted to a hospital during a year:

Age (in years)	$5 - 15$	$15 - 25$	$25 - 35$	$35 - 45$	$45 - 55$	$55 - 65$
Number of patients	$6$	$11$	$21$	$23$	$14$	$5$

Find the sum of mean and mode, rounded off to two decimal place

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.5>Q 8

The following data gives information on the observed lifetime (in hours) of $225$ electrical components:

Lifetime (in hours)	$0 - 20$	$20 - 40$	$40 - 60$	$60 - 80$	$80 - 100$	$100 - 120$
Frequency	$10$	$35$	$52$	$61$	$38$	$29$

Determine the modal lifetimes of the components. (Correct up to three decimal places)

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 15 - Statistics>EXERCISE 15.5>Q 9

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

Daily income (in $₹$ )	$100 - 120$	$120 - 140$	$140 - 160$	$160 - 180$	$180 - 200$
Number of workers:	$12$	$14$	$8$	$6$	$10$

Find the sum of the mean, median and mode of the given data.

Find the mode of the following distribution, rounded off to two decimal places. Class Interval 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 Frequency 5 8 7 12 28 20 10 10

Important Questions on Statistics

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Find the mode of the following distribution, rounded off to two decimal places.

Class Interval $0 - 10$ $10 - 20$ $20 - 30$ $30 - 40$ $40 - 50$ $50 - 60$ $60 - 70$ $70 - 80$

Frequency $5$ $8$ $7$ $12$ $28$ $20$ $10$ $10$