In the table given below, the times taken by 120 athletes to run a 100 - m -hurdle race are given. Class 13 . 8 - 14 14 - 14 . 2 14 . 2 - 14 . 4 14 . 4 - 14 . 6 14 . 6 - 14 . 8 14 . 8 - 15 Frequency 2 4 15 54 25 20 Find the number of athletes who completed the race in less than 14 . 6 seconds.

Given Class 13 . 8 - 14 14 - 14 . 2 14 . 2 - 14 . 4 14 . 4 - 14 . 6 14 . 6 - 14 . 8 14 . 8 - 15 Frequency 2 4 15 54 25 20 Number of athletes who completed the race in less than 14 . 6 seconds = 2 + 4 + 15 + 54 = 75

EASY

10th CBSE

IMPORTANT

Earn 100

Match the following columns:

Column I Column II

(a) The most frequent value in a data is known as ... ..... (p) Standard deviation

(b) Which of the following cannot be determined graphically out of mean, mode and median? (q) Median

(c) An ogive is used to determine... (r) Mean

(d) Out of mean, mode, median and standard deviation, which is not a measure of central tendency? (s) Mode

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Important Questions on Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive

EASY

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 18 - Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive>MULTIPLE-CHOICE QUESTIONS (MCQ)>Q 30

Each question consists of two statements, namely, Assertion $(A)$ and Reason $(R)$ . For selecting the correct answer, use the following code:

Assertion (A)

Reason (R)

If the median and mode of a frequency distribution are

150

and

154

respectively, then its mean is

148

Mean, median and mode of a frequency distribution are selected as:

mode $= 3$ median $- 2$ mean.

EASY

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 18 - Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive>MULTIPLE-CHOICE QUESTIONS (MCQ)>Q 31

Assertion (A)

Reason (R)

Consider the following frequency distribution:

Class

interval

3 - 6

6 - 9

9 - 12

12 - 15

15 - 18

18 - 21

Frequency

2

5

21

23

10

12

The mode of the above data is $12.4$

The value of the variable which occurs most often is the mode.

EASY

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 18 - Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive>TEST YOURSELF>Q 1

Which one of the following measures is determined only after the construction of cumulative frequency distribution?

EASY

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 18 - Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive>TEST YOURSELF>Q 2

If the mean of a data is

27

and its median is

33

then the mode is

EASY

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 18 - Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive>TEST YOURSELF>Q 3

Consider the following distribution:

Class	$0 - 5$	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$
Frequency	$10$	$15$	$12$	$20$	$9$

The sum of the lower limits of the median class and the modal class is

EASY

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 18 - Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive>TEST YOURSELF>Q 4

Consider the following frequency distribution:

Class	$0 - 5$	$6 - 11$	$12 - 17$	$18 - 23$	$24 - 29$
Frequency	$13$	$10$	$15$	$8$	$11$

The upper limit of the median class is

EASY

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 18 - Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive>TEST YOURSELF>Q 5

If the mean and mode of a frequency distribution be

53.4

and

55.2

respectively, find the median.

EASY

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 18 - Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive>TEST YOURSELF>Q 6

In the table given below, the times taken by $120$ athletes to run a $100 - m$ -hurdle race are given.

Class	$13.8 - 14$	$14 - 14.2$	$14.2 - 14.4$	$14.4 - 14.6$	$14.6 - 14.8$	$14.8 - 15$
Frequency	$2$	$4$	$15$	$54$	$25$	$20$

Find the number of athletes who completed the race in less than $14.6$ seconds.

	Column I		Column II
(a)	The most frequent value in a data is known as ... .....	(p)	Standard deviation
(b)	Which of the following cannot be determined graphically out of mean, mode and median?	(q)	Median
(c)	An ogive is used to determine...	(r)	Mean
(d)	Out of mean, mode, median and standard deviation, which is not a measure of central tendency?	(s)	Mode

Important Questions on Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive

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