HARD

10th CBSE

IMPORTANT

Earn 100

The arithmetic mean of the following frequency distribution is $53$ . Find the value of $k$ .

Class $0 - 20$ $20 - 40$ $40 - 60$ $60 - 80$ $80 - 100$

Frequency $12$ $15$ $32$ $k$ $13$

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Important Questions on Statistics

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 15 - Statistics>Exercise 15.1>Q 13

The mean of the following frequency distribution is $62.8$ . Find the missing frequency $x$ .

Class	$0 - 20$	$20 - 40$	$40 - 60$	$60 - 80$	$80 - 100$	$100 - 120$
Frequency	$5$	$8$	$x$	$12$	$7$	$8$

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 15 - Statistics>Exercise 15.1>Q 14

The mean of the following frequency distribution is $53$ . But the frequencies $f_{1}$ and $f_{2}$ in the classes $20 - 40$ and $60 - 80$ are missing. Find the missing frequencies.

Class	$0 - 20$	$20 - 40$	$40 - 60$	$60 - 80$	$80 - 100$	Total
Frequency	$15$	$f_{1}$	$21$	$f_{2}$	$17$	$100$

HARD

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 15 - Statistics>Exercise 15.1>Q 15

In a class test, marks obtained by $120$ students are given in the following frequency distribution table. It is given that the mean is $59$ , find the missing frequencies $x$ and $y$ .

Marks	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$	$90 - 100$
Number of students	$1$	$3$	$7$	$10$	$15$	$x$	$9$	$27$	$18$	$y$

EASY

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 15 - Statistics>Exercise 15.2>Q 1

The following table shows the sale of shoes in a store during one month:

Size of shoe	$3$	$4$	$5$	$6$	$7$	$8$
Number of pairs sold	$4$	$18$	$25$	$12$	$5$	$1$

Find the modal size of the shoes sold.

EASY

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 15 - Statistics>Exercise 15.2>Q 2

Weekly household expenditures of families living in a housing society is shown below :

Weekly expenditure (in $₹$ )	up to $3000$	$3000 - 6000$	$6000 - 9000$	$9000 - 12000$	$12000 - 15000$
Number of families	$4$	$25$	$31$	$48$	$10$

Find the upper limit of the modal class.

MEDIUM

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 15 - Statistics>Exercise 15.2>Q 3

Find the mode of the following data correct up to one place after decimal point:

Class	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$	$90 - 100$
Frequency	$9$	$12$	$20$	$11$	$10$

MEDIUM

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 15 - Statistics>Exercise 15.2>Q 4

Find the mode of the following frequency distribution:

Class	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$
Frequency	$8$	$10$	$10$	$16$	$12$	$6$	$7$

MEDIUM

10th CBSE

IMPORTANT

CBSE Syllabus Standard Mathematics for Class X>Chapter 15 - Statistics>Exercise 15.2>Q 5

The weight of coffee in $70$ packets is shown in the following table:

Weight (in $kg$ )	$200 - 201$	$201 - 202$	$202 - 203$	$203 - 204$	$204 - 205$	$205 - 206$
Number of packets	$12$	$26$	$20$	$9$	$2$	$1$

If the modal weight is $p kg$ , find $p$ .

The arithmetic mean of the following frequency distribution is 53. Find the value of k. Class 0-20 20-40 40-60 60-80 80-100 Frequency 12 15 32 k 13

Important Questions on Statistics

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The arithmetic mean of the following frequency distribution is $53$ . Find the value of $k$ .

Class $0 - 20$ $20 - 40$ $40 - 60$ $60 - 80$ $80 - 100$

Frequency $12$ $15$ $32$ $k$ $13$