Grade 10 : Mathematics - 13. Statistics (Set 1)

Question 1

Find the arithmetic mean of the first 5 positive integers: $1, 2, 3, 4, 5$.

Accepted Answer

B) 3

Answer

A) 2

Answer

C) 4

Answer

D) 5

Question 2

What is the formula for calculating the class mark ($x_i$) of a class interval?

Accepted Answer

B) $\frac{	ext{Upper Class Limit} + 	ext{Lower Class Limit}}{2}$

Answer

A) $\frac{	ext{Upper Class Limit} - 	ext{Lower Class Limit}}{2}$

Answer

C) $	ext{Upper Class Limit} 	imes 	ext{Lower Class Limit}$

Answer

D) $	ext{Upper Class Limit} + 	ext{Lower Class Limit}$

Question 3

Which equation correctly represents the empirical relationship among the three measures of central tendency?

Accepted Answer

A) $3 	ext{ Median} = 	ext{Mode} + 2 	ext{ Mean}$

Answer

B) $2 	ext{ Median} = 	ext{Mode} + 3 	ext{ Mean}$

Answer

C) $	ext{Mode} = 2 	ext{ Median} + 3 	ext{ Mean}$

Answer

D) $3 	ext{ Mean} = 	ext{Mode} + 2 	ext{ Median}$

Question 4

The mean of 5 observations $x, x+2, x+4, x+6, x+8$is11. Find the value of $x$.

Accepted Answer

C) 7

Answer

A) 5

Answer

B) 6

Answer

D) 8

Question 5

Find the median of the following dataset: $12, 18, 11, 25, 15, 21, 19$.

Accepted Answer

B) 18

Answer

A) 15

Answer

C) 19

Answer

D) 21

Question 6

Find the median of the even-numbered dataset: $8, 14, 10, 16, 20, 12$.

Accepted Answer

C) 13

Answer

A) 12

Answer

B) 12.5

Answer

D) 14

Question 7

Class Interval	Frequency ($f_i$)
0-10	4
10-20	8
20-30	15
30-40	10
40-50	3

Identify the modal class of the distribution given in the table above.

Accepted Answer

B) 20-30

Answer

A) 10-20

Answer

C) 30-40

Answer

D) 40-50

Question 8

Class Interval	Frequency ($f_i$)
0-10	4
10-20	8
20-30	15
30-40	10
40-50	3

What is the lower limit ($l$) of the median class for the given frequency distribution?

Accepted Answer

B) 20

Answer

A) 10

Answer

C) 30

Answer

D) 0

Question 9

If the mode of a frequency distribution is 24and the mean is18, find the median using the empirical formula.

Accepted Answer

B) 20

Answer

A) 18

Answer

C) 22

Answer

D) 24

Question 10

What is the class size ($h$) of the class interval $35 - 50$?

Accepted Answer

C) 15

Answer

A) 10

Answer

B) 12.5

Answer

D) 85

Question 11

The sum of the deviations of individual observations from their arithmetic mean $\bar{x}$ is always equal to:

Accepted Answer

C) Zero

Answer

A) Positive constant

Answer

B) Negative constant

Answer

D) One

Question 12

In the assumed mean method for calculating mean, $\bar{x} = a + \frac{\sum f_i d_i}{\sum f_i}$, what does $d_i$represent?

Accepted Answer

B) $d_i = x_i - a$

Answer

A) $d_i = x_i + a$

Answer

C) $d_i = \frac{x_i - a}{h}$

Answer

D) $d_i = a - x_i$

Question 13

If the mean of 10observations is25, and every observation is increased by 4, what is the new mean?

Accepted Answer

B) 29

Answer

A) 25

Answer

C) 100

Answer

D) 21

Question 14

If each observation in a dataset with mean 15is multiplied by3, what is the new mean?

Accepted Answer

C) 45

Answer

A) 15

Answer

B) 18

Answer

D) 5

Question 15

Class Interval	Frequency ($f_i$)
0-10	4
10-20	8
20-30	15
30-40	10
40-50	3

Calculate the mean of the given distribution using the Direct Method.

Accepted Answer

C) 10.75

Answer

A) 9.5

Answer

B) 10.25

Answer

D) 11.5

Question 16

Find the mean of the first 5 prime numbers.

Accepted Answer

C) 5.6

Answer

A) 5.0

Answer

B) 5.2

Answer

D) 6.0

Question 17

Class Interval	Frequency ($f_i$)
0-10	4
10-20	8
20-30	15
30-40	10
40-50	3

What is the cumulative frequency of the class interval $20-30$?

Accepted Answer

C) 20

Answer

A) 10

Answer

B) 16

Answer

D) 28

Question 18

In the mode formula $ ext{Mode} = l + \left( \frac{f_1 - f_0}{2f_1 - f_0 - f_2} ight) imes h$, what does symbol $f_1$represent?

Accepted Answer

A) Frequency of the modal class

Answer

B) Frequency of the class preceding the modal class

Answer

C) Frequency of the class succeeding the modal class

Answer

D) Lower limit of the modal class

Question 19

Which graphical representation is used to graphically estimate the median of a continuous frequency distribution?

Accepted Answer

C) Cumulative Frequency Curve (Ogive)

Answer

A) Bar Graph

Answer

B) Pie Chart

Answer

D) Frequency Polygon

Question 20

In the Step-Deviation method for finding mean,$u_i$is defined as:

Accepted Answer

B) $u_i = \frac{x_i - a}{h}$

Answer

A) $u_i = x_i - a$

Answer

C) $u_i = h(x_i - a)$

Answer

D) $u_i = \frac{x_i + a}{h}$

Set 1Grade 10 : Mathematics - Statistics

Grade 10 : Mathematics - Statistics

Examination Instructions:

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Set 1Grade 10 : Mathematics - Statistics

Grade 10 : Mathematics - Statistics

Examination Instructions:

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Set 1Grade 10 : Mathematics - Statistics

Grade 10 : Mathematics - Statistics

Examination Instructions:

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