# MCQs for Mathematics Class 10 with Answers Chapter 14 Statistics

Students of class 10 Mathematics should refer to MCQ Questions Class 10 Mathematics Statistics with answers provided here which is an important chapter in Class 10 Mathematics NCERT textbook. These MCQ for Class 10 Mathematics with Answers have been prepared based on the latest CBSE and NCERT syllabus and examination guidelines for Class 10 Mathematics. The following MCQs can help you to practice and get better marks in the upcoming class 10 Mathematics examination

**Chapter 14 Statistics MCQ with Answers Class 10 Mathematics**

MCQ Questions Class 10 Mathematics Statistics provided below have been prepared by expert teachers of grade 10. These objective questions with solutions are expected to come in the upcoming Standard 10 examinations. Learn the below provided MCQ questions to get better marks in examinations.

**Question. The mode of 10, 11, 10, 12, 11, 11, 10, 11, 11, 12, 13, 11, 12 is **

(a) 10

(b) 11

(c) 12

(d) none of these

**Answer**

B

**Question. Mode is : **

(a) least frequent value

(b) middle most value

(c) most frequent value

(d) none of these

**Answer**

C

**Question. Empirical formula is given by **

(a) Mode = 3 Mean – 2 Median

(b) Mode = 2 Median – 3 Mean

(c) Mode = 3 Median – 2 Mean

(d) Mode = 3 Median + 2 Mean

**Answer**

C

**Question. The median of a given frequency distribution is found graphically with the help of : **

(a) Histogram

(b) Frequency curve

(c) Frequency polygon

(d) Ogive

**Answer**

D

**Question. If 3, 8, 10, x, 14, 16, 18, 20 are in ascending order and their median is 13, the value of x is : **

(a) 11

(b) 12

(c) 13

(d) none of these

**Answer**

B

**Question. The mode of a frequency distribution can be determined graphically from : **

(a) Histogram

(b) frequency polygon

(c) Ogive

(d) Frequency curve

**Answer**

A

**Question. For the given distribution, the median is : **

(a) 11

(b) 12

(c) 17.5

(d) none of these

**Answer**

C

**Question. Which of the following cannot be determined graphically : **

(a) Mean

(b) Median

(c) Mode

(d) none of these

**Answer**

A

**Question. The arithmetic mean of first n natural numbers is : **

(a) n(n+1)/2

(b) n+1/2

(c) n-1/2

(d) n/2+1

**Answer**

B

**Question. What is the value of ‘n’ if the mean of first 9 natural numbers is 5 _{n}/2 ? **

(a) 7

(b) 8

(c) 9

(d) 11

**Answer**

C

**Question. In a class of 19 students, 7 boys failed in a math test. The scores of those who passed are 12,15,17,15,16,15,19,19,17,18,18 and 19 marks. What is the median marks of the 19 students in the class? **

(a) 15

(b) 12

(c) 16

(d) 19

**Answer**

A

**Question. If for a given data median is 125.6 and mean is 128, find mode. **

(a) 120.8

(b) 128.0

(c) 108.2

(d) 180.2

**Answer**

A

**Question. The A.M. of 12 observations is 15. If an observation 20 is removed, what is the arithmetic mean of the remaining observations? **

(a) 14.5

(b) 13

(c) 15

(d) 13.5

**Answer**

A

**Question. The A.M. of a set of 50 numbers is 38. If two numbers of the set, namely 55 and 45 are discarded, find the mean of the remaining observations. **

(a) 36

(b) 37.5

(c) 36.5

(d) 38.5

**Answer**

B

**Question. What is the arithmetic mean of 30 20 32 16 and 27? **

(a) 23

(b) 24

(c) 25

(d) 26

**Answer**

C

**Question. The A.M. of ‘n’ numbers of a series is X. If the sum of first (n – 1) terms is ‘k’. what is the th n number? **

(a) n¯X – nk

(b) n¯X – k

(c) ¯X – nk

(d) ¯X – k

**Answer**

B

**Question. Which of the following is calculated using mid-values of classes? **

(a) Mean

(b) Median

(c) Mode

(d) Range

**Answer**

A

**Question. Find the value of ‘ x ‘ if the mean of x + 2,2x +3, 3x + 4 and 4x +5 is x + 2 . **

(a) 2

(b) 1

(c) 3

(d) -1

**Answer**

D

**Question. Find the weighted mean of first ‘n’ natural numbers, whose weights are proportional to the corresponding numbers. **

(a) 2n + 1/3

(b) n + 1

(c) n(n + 1)/2

(d) (n + 1) (2n + 1)/6

**Answer**

A

**Question. The mean of the scores x _{1}, x_{2} ,….., x_{6} is x . What is the mean of the scores 5x_{1} ,5x_{2} ,…..,5x_{6} ? **

(a) x + 5

(b) x/5

(c) x – 5

(d) 5x

**Answer**

D

**Question. The mean weight of a group of 10 students is 25 kg and the mean weight of another group of 10 students is 35 kg. What is the mean weight of all the 20 students? **

(a) 30 kg

(b) 35 kg

(c) 25 kg

(d) 20 kg

**Answer**

A

**Question. What is the mode of 10, 2, 8, 6, 7, 8, 9, 10, 10, 11 and 10? **

(a) 10

(b) 12

(c) 14

(d) 8

**Answer**

A

**Question. If the ratio of mean and median of a certain data is 2:3, what is the ratio of its mode and mean? **

(a) 3 : 2

(b) 5 : 2

(c) 3 : 5

(d) 2 : 3

**Answer**

B

**Question. What is the mode of the data 3,6,3,4,6,4, 3,5,6,5, x and x ^{2} ? **

(a) 4 or 5 only

(b) 3 or 6 only

(c) 3 or 5 only

(d) 3, 4 or 6

**Answer**

C

**Question. The A.M. of ‘n’ observations is M. If the sum of (n-4) observations is ‘a’, what is the mean of remaining 4 observations? **

(a) nM + a

(b) nM – a/2

(c) nM + a/2

(d) nM – a/4

**Answer**

D

**Question. Identify the mode of the given distribution. **

(a) 7

(b) 1

(c) 8

(d) 6

**Answer**

D

**Question. If the median of x/5 , x , x/4 , x/2 and x/3 (where x > 0 ) is 8, what is the value of ‘ x ‘ ? **

(a) 6

(b) 8

(c) 4

(d) 24

**Answer**

D

**Question. What is the median of the first 100 natural numbers? **

(a) 50.5

(b) 50

(c) 52

(d) 51

**Answer**

A

**Question. Find x/6 where 6 is the median of the scores x/2 , x/3 , x/4 , x/5 , and x/6 . **

(a) 12

(b) 4

(c) 24

(d) 6

**Answer**

B

**Question. Find the median of 15 , 2/3 15.03,15,15, 1/3 and 15.3. **

(a) 15 , 1/3

(b) 15.3

(c) 15 , 2/3

(d) 15.03

**Answer**

B

**Question. The mode of the observations 5, 4, 4, 3, 5, x , 3, 4, 3, 5, 4, 3, and 5 is 3. What is their median? **

(a) 3

(b) 4

(c) 5

(d) 4.5

**Answer**

B

**Question. The hearts of 60 patients were examined through X-ray and observations obtained are recorded. **

**Find their median.**

(a) 144

(b) 122

(c) 156

(d) 114

**Answer**

B

**Question. The mode of a data exceeds its mean by 12. By how much does its mode exceed the median? **

(a) 8

(b) 12

(c) 0

(d) 10

**Answer**

A

**Question. If the difference of mode and median of a data is 24, what is the difference of median and mean? **

(a) 24

(b) 6

(c) 12

(d) 30

**Answer**

C

**Question. For the given distribution, if the mean is 6, the value of p is : **

(a) 5

(b) 6

(c) 7

(d) 8

**Answer**

C

We hope the above multiple choice questions for Class 10 Mathematics for Chapter 14 Statistics provided above with answers based on the latest syllabus and examination guidelines issued by CBSE, NCERT and KVS are really useful for you. Statistics is an important chapter in Class 10 as it provides very strong understanding about this topic. Students should go through the answers provided for the MCQs after they have themselves solved the questions. All MCQs have been provided with four options for the students to solve. These questions are really useful for the benefits of class 10 students. Please go through these and let us know if you have any feedback in the comments section.