Class 10 Maths MCQs for Chapter 14 Statistics with Answers PDF

Class 10 Maths Chapter 14 MCQs on Statistics are available here with solved answers. These questions are made according to the latest CBSE syllabus and NCERT textbook. Practising them can help students understand the chapter better and score well in the board exam. Students can also download a free PDF for extra practice and revision.

MCQs Questions for Class 10 Maths Chapter 14 Statistics

Question 1: The arithmetic mean of a data set is calculated by:

Options:

(A). Sum of observations ÷ Number of observations

(B). Largest value ÷ Smallest value

(C). Product of observations

(D). Difference of observations

Correct Answer: (A). Sum of observations ÷ Number of observations

Question 2: The median of the data 3, 5, 7, 9, 11 is:

Options:

(A). 5

(B). 7

(C). 9

(D). 11

Correct Answer: (B). 7

Question 3: The mode of the data 2, 4, 4, 5, 6 is:

Options:

(A). 2

(B). 4

(C). 5

(D). 6

Correct Answer: (B). 4

Question 4: Which measure of central tendency represents the most frequent observation?

Options:

(A). Mean

(B). Median

(C). Mode

(D). Range

Correct Answer: (C). Mode

Question 5: The median class is the class containing:

Options:

(A). Highest frequency

(B). Lowest frequency

(C). Median value

(D). Mean value

Correct Answer: (C). Median value

Question 6: The cumulative frequency of the first class is always:

Options:

(A). 0

(B). Equal to its frequency

(C). Greater than total frequency

(D). Negative

Correct Answer: (B). Equal to its frequency

Question 7: The sum of frequencies in a frequency distribution is called:

Options:

(A). Mean

(B). Range

(C). Total frequency

(D). Median

Correct Answer: (C). Total frequency

Question 8: The graphical representation of cumulative frequency is called:

Options:

(A). Histogram

(B). Pie Chart

(C). Ogive

(D). Bar Graph

Correct Answer: (C). Ogive

Question 9: The class mark of class interval 10 - 20 is:

Options:

(A). 10

(B). 15

(C). 20

(D). 25

Correct Answer: (B). 15

Class Mark = (10 + 20) / 2 = 15

Question 10: The mean of the observations 2, 4, 6, 8 is:

Options:

(A). 4

(B). 5

(C). 6

(D). 7

Correct Answer: (B). 5

Mean = (2 + 4 + 6 + 8) / 4 = 5

Question 11: Which measure of central tendency is not affected by extreme values?

Options:

(A). Mean

(B). Median

(C). Mode

(D). Range

Correct Answer: (B). Median

Question 12: If all observations in a data set are equal, then:

Options:

(A). Mean only is equal

(B). Median only is equal

(C). Mode only is equal

(D). Mean = Median = Mode

Correct Answer: (D). Mean = Median = Mode

Question 13: The difference between the highest and lowest observations is called:

Options:

(A). Mean

(B). Median

(C). Range

(D). Mode

Correct Answer: (C). Range

Question 14: In grouped data, the class interval is:

Options:

(A). Difference between upper and lower limits

(B). Sum of class limits

(C). Product of class limits

(D). Average of class limits

Correct Answer: (A). Difference between upper and lower limits

Question 15: The median divides the data into:

Options:

(A). Three equal parts

(B). Four equal parts

(C). Two equal parts

(D). Five equal parts

Correct Answer: (C). Two equal parts

Question 16: The mode of the data 5, 7, 8, 7, 9, 7 is:

Options:

(A). 5

(B). 7

(C). 8

(D). 9

Correct Answer: (B). 7

Question 17: The empirical relation between mean, median, and mode is:

Options:

(A). Mode = Mean + Median

(B). Mode = 3 Median − 2 Mean

(C). Mean = Median + Mode

(D). Mean = Mode − Median

Correct Answer: (B). Mode = 3 Median − 2 Mean

Question 18: The midpoint of a class interval is called:

Options:

(A). Frequency

(B). Median

(C). Class mark

(D). Mode

Correct Answer: (C). Class mark

Question 19: An ogive is used to find:

Options:

(A). Mean

(B). Median

(C). Mode

(D). Range

Correct Answer: (B). Median

Question 20: The mean of first five natural numbers is:

Options:

(A). 2

(B). 3

(C). 4

(D). 5

Correct Answer: (B). 3

Mean = (1 + 2 + 3 + 4 + 5) / 5 = 3

Question 21: The frequency of a class indicates:

Options:

(A). Total number of classes

(B). Number of observations in the class

(C). Width of class interval

(D). Mean value

Correct Answer: (B). Number of observations in the class

Question 22: The median of 10, 20, 30, 40 is:

Options:

(A). 20

(B). 25

(C). 30

(D). 40

Correct Answer: (B). 25

Median = (20 + 30) / 2 = 25

Question 23: The class mark of class interval 30 - 40 is:

Options:

(A). 30

(B). 35

(C). 40

(D). 45

Correct Answer: (B). 35

Question 24: Which graph is commonly used for grouped frequency distribution?

Options:

(A). Histogram

(B). Pie Chart

(C). Line Graph

(D). Scatter Plot

Correct Answer: (A). Histogram

Question 25: Which measure of central tendency can be determined graphically using an ogive?

Options:

(A). Mean

(B). Median

(C). Mode

(D). Range

Correct Answer: (B). Median

Download PDF - Class 10 Maths MCQs for Chapter 14 Statistics