MCQ Questions for Class 10 Maths Chapter 14 Statistics with Answers
Students are advised to solve the Statistics Multiple Choice Questions of Class 10 Maths to know different concepts. Practicing the MCQ Questions on Statistics Class 10 with answers will boost your confidence thereby helping you score well in the exam.
Explore numerous MCQ Questions of Statistics Class 10 with answers provided with detailed solutions by looking below.
Question 1.
Which of the following is true?
(a) Mode = 2Median – Mean
(b) Mode = 3Median + 2Mean
(c) Mode = 3Median – 2Mean
(d) None of these
Answer
Answer: (c) Mode = 3Median – 2Mean
Question 2.
The mean of the first 10 multiples of 6 is
(a) 3.3
(b) 33
(c) 34
(d) none of these
Answer
Answer: (b) 33
Question 3.
In the given data if n = 230, I = 40, cf = 76, h = 10, f = 65, then its median is
(a) 40
(b) 46
(c) 47
(d) 48
Answer
Answer: (b) 46
Question 4.
Which of the following is true –
(a) Mode = 3Median + 2Mean
(b) Median = Mode +\(\frac { 3 }{ 2 }\)[Mean – Median]
(c) Mean = Mode + \(\frac { 3 }{ 2 }\)[Median – Mode]
(d) Median = Mode + \(\frac { 3 }{ 2 }\)[Median + Mode]
Answer
Answer: (c) Mean = Mode + latex]\frac { 3 }{ 2 }[/latex][Median – Mode]
Question 5.
For a symmetrical distribution, which is correct
(a) Mean > Mode > Median
(b) Mode = Mean+ \(\frac { Median }{ 2 }\)
(c) Mean < Mode < Median
(d) Mean = Median = Mode
Answer
Answer: (d) Mean = Median = Mode
Question 6.
For the following frequency distribution:
| Class | Frequency |
| 0 – 5 | 2 |
| 5 – 10 | 7 |
| 10 – 15 | 18 |
| 15 – 20 | 10 |
| 20 – 25 | 8 |
| 25 – 30 | 5 |
If the mode and the median are 12.9 and 14.44 respectively, then the mean is
(a) 15.2
(b) 13
(c) 16
(d) 17
Answer
Answer: (a) 15.2
Question 7.
Mean of 100 items is 49. It was discovered that three items which should have been 60, 70, 80 were wrongly read as 40, 20, 50 respectively. The correct mean is
(a) 48
(b) 49
(c) 50
(d) 60
Answer
Answer: (c) 50
Question 8.
The wickets taken by a bowler in 10 cricket matches are 2, 6, 4, 5, 0, 3, 1, 3, 2, 3. The mode of the data is
(a) 1
(b) 2
(c) 3
(d) 4
Answer
Answer: (c) 3
Question 9.
While computing mean of a grouped data, we assume that the frequencies are
(a) centered at the lower limits of the classes
(b) centered at the upper limits of the classes
(c) centered at the class marks of the classes
(d) evenly distributed over all the classes
Answer
Answer: (c) centered at the class marks of the classes
Question 10.
Mode is the
(a) middle most frequent value
(b) least frequent value
(c) maximum frequent value
(d) none of these
Answer
Answer: (c) maximum frequent value
Question 11.
The mean of the first 10 natural numbers is
(a) 5
(b) 6
(c) 4.5
(d) 5.5
Answer
Answer: (d) 5.5
Question 12.
The marks obtained by 9 students in Mathematics are 59, 46, 30, 23, 27, 44, 52, 40 and 29. The median of the data is
(a) 30
(b) 35
(c) 29
(d) 40
Answer
Answer: (d) 40
Question 13.
The median of first 10 prime numbers is
(a) 11
(b) 12
(c) 13
(d) none of these
Answer
Answer: (b) 12
Question 14.
The measure of central tendency which is given by the x-coordinate of the point of intersection of the ‘more than’ ogive and ‘less than’ ogive is –
(a) Mean
(b) Median
(c) Mode
(d) None of these
Answer
Answer: (b) Median
Question 15.
The mean and the median of a distribution are 45.9 and 46 respectively. The mode will be
(a) 45
(b) 47
(c) 48
(d) 46.2
Answer
Answer: (d) 46.2
Question 16.
While computing mean of grouped data, we assume that the frequencies are
(a) evenly distributed over all the classes
(b) centred at the classmarks of the classes
(c) centred at the upper limits of the classes
(d) centred at the lower limits of the classes
Answer
Answer: (b) centred at the classmarks of the classes
Question 17.
The age of 18 students of a class is reported below. Their modal age is 10, 17, 14, 10, 11, 12, 12, 13, 17, 13, 14, 14, 15, 16, 17, 15, 17, 16
(a) 22 years
(b) 17 years
(c) 14 years
(d) 16 years
Answer
Answer: (b) 17 years
Question 18.
Which of the following can not be determined graphically?
(a) Mean
(b) Median
(c) Mode
(d) None of these
Answer
Answer: (a) Mean
Question 19.
Construction of a cumulative frequency table is useful in determining the
(a) mean
(b) median
(c) mode
(d) all of the above
Answer
Answer: (b) median
Question 20.
The mode of 4, 5, 6, 8, 5, 4, 8, 5, 6, x, 8 is 8. The value of ‘x’ is
(a) 4
(b) 5
(c) 6
(d) 8
Answer
Answer: (d) 8
Question 21.
In a data, if I = 40, h = 15, f1=7, f0=3, f2=6, then the mode is
(a) 52
(b) 62
(c) 72
(d) none of these
Answer
Answer: (a) 52
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