NTSE Mathematics Statistics MCQs

Question: Given the mean (30), the mode (35). What is the median ?

• a) 40
• b) 30
• c) 55.7
• d) 31.69

Answer: 31.69

Question: Calculate the median in the following frequency distribution :

• a) 90
• b) 70
• c) 83.75
• d) None of these

Answer: 83.75

Question: The mean of 7, 9, 11, 13, x 21 is 13. Then the value of x is.

• a) 18
• b) 19
• c) 15
• d) 17

Answer: 17

Question: The mean of weight of a class of 34 students is 46.5 kg. If weight of the teacher is included, the mean rises by 500 gm. Then the weight of the teacher is :

• a) 175 kg.
• b) 62 kg.
• c) 64 kg.
• d) 72 kg.

Answer: 64 kg.

Question: A student gets the following percentages in an examination English = 50%, Biology = 40%, Mathematics = 60%, Physics = 70%, Chemistry = 80% if was suggested that he has been given double weight age on his marks in Physics and Chemistry than in other subjects. What is the arithmetic weight age mean of marks ?

• a) 57.4
• b) 59.4
• c) 64.25
• d) None of these

Answer: 64.25

Question: Which of the following is true ?

• a) Means = 3 Median -2 Mode
• b) Median = 3 Mode -2 Mean
• c) Mode = 3 Median - 2 Mean
• d) Mode = Mean + Median

Answer: Mode = 3 Median - 2 Mean

Question: The median of following series is 520, 20, 340, 190, 35, 800, 1210, 50, 80

• a) 1210
• b) 520
• c) 190
• d) 35

Answer: 190

Question: The mode of the distribution 3,5,7,4,2,1,4,3,4 is

• a) 7
• b) 4
• c) 3
• d) 1

Answer: 4

Question: Marks of four students are 25, 35 and 55 their mean deviation from mean is

• a) 10
• b) 1
• c) 0
• d) 40

Answer: 10

Question: The mean deviation of the distribution 2, 4, 5, 2, 5, 7, 8 from median is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

 More Questions................

Question: If the man and median of set of numbers are 8.9 and 9 respectively, then the mode will be

• a) 7.2
• b) 8.2
• c) 9.2
• d) 10.2

Answer: 9.2

Question: If the least score of a distribution is 7 and range is 42, then the highest score of that distribution will be

• a) 6
• b) 35
• c) 49
• d) Cannot be determined

Answer: 49

Question: If the mean of five observations x, x+2, x + 4,x x + 6, x + 8 is 11, then the mean of first three observation is

• a) 7
• b) 9
• c) 11
• d) None

Answer: 9

Question: The mean of 16 numbers is 8. If 2 is added to every number then the new mean will be

• a) 6
• b) 8
• c) 10
• d) 16

Answer: 10

Question: Histogram is a

• a) One dimensional figure
• b) Two dimensional figure
• c) Three dimensional figure
• d) None

Answer: Two dimensional figure

Question: If the fist ten elements of the set x₁, x₂.........., x₁₅ are replaced by x_i + 5, i = 1, 2, 3, ........, 10 and next five element are replaced by x_j = 4, j = 11, 12,......., 15, then new mean will change by

• a) 0
• b) 1
• c) 2
• d) None

Answer: 2

Question: Median of following series 520, 20, 340, 190, 35, 800, 50, 80 is

• a) 135
• b) 190
• c) 520
• d) None

Answer: 135

Question: Which the following central tendency can not be find with any of the graph

• a) Mean
• b) Median
• c) Mode
• d) None

Answer: Mean

Question: By the cumulative frequency curve which of the central tendency can be find

• a) Mean
• b) Median
• c) Mode
• d) None

Answer: Median

Question: Mean of first 5 prime number is

• a) 3.6
• b) 4.6
• c) 5.6
• d) None

Answer: 5.6

Question: If the mean of 2x, x, 2x + 1 and 2 is 7, then find the value of x.

• a) 5
• b) 2
• c) 4
• d) 6

Answer: 5

Question: Find the mean of the factors of 72.

• a) 15.5
• b) 16.25
• c) 14.25
• d) 17.45

Answer: 16.25

Question: If mean of given data is 21 then value of p is

• a) 24
• b) 26
• c) 10
• d) None of these

Answer: 26

Question: Mean of set of 22 readings is 20. If each reading is first multiplied by 4 and then 10 is added to it, the new mean is

• a) 73
• b) 80
• c) 90
• d) None of these

Answer: 90

Question: Mean score of 25 observation is 80 and that of another 75 observation is 60. The mean score of all observation taken together is

• a) 65
• b) 75
• c) 85
• d) None of these

Answer: 65

Question: Mean weight of 8 boys is 57 kg weights of seven of them are 65, 43, 37, 29, 29, 82, 50 and 55 kg. then weight of the eighth student is

• a) 45 kg
• b) 55 kg
• c) 65 kg
• d) None of these

Answer: None of these

Question: Mean of eight numbers is 38.4 and the mean of seven of them is 39.2. What is the eight number ?

• a) 34.8
• b) 32.8
• c) 0.8
• d) None of these

Answer: 32.8

Question: The mean of set of 20 measurements was calculated to be 56cm. But later it was found that a mistake had been in one of the measurement which was recorded as 64 cm, but should have been 61 cm. The correct mean will be

• a) 53 cm
• b) 54.5 cm
• c) 55.85 cm
• d) 56.15 cm

Answer: 55.85 cm

Question: Find the median of 2, 3, 4, 5, 4 ,5, 5, 6.

• a) 4
• b) 3.5
• c) 4.5
• d) 5.5

Answer: 4.5

Question: A set of valued arranged in increasing order are 20, 22 x, 28, 30, 32. If median of these values is 26, then the value of x is

• a) 24
• b) 25
• c) 23
• d) None of these

Answer: 24

Question: The relationship between mean, median and mode for a moderately skewed distribution is

• a) Mode = Median - 2 Mean
• b) Mode = 2 Median - Mean
• c) Mode = 2 Median - 3 Mean
• d) Mode = 3 Median - 2 Mean

Answer: Mode = 3 Median - 2 Mean

Question: If y is the mean of x1, x2,........x₁₀ then the value of (x1 - y) + (y2 - y) +...+ (x₁₀ - y) is

• a) 1
• b) -1
• c) 10
• d) None of these

Answer: None of these

Question: Sum of deviation of a set of n values from 24 is 40 and from 26 is - 40. Then the mean is

• a) 20
• b) 25
• c) 40
• d) None of these

Answer: 25

Question: Find the mean deviation of the following 125, 125, 145, 155.

• a) 0
• b) 40
• c) 10
• d) None of these

Answer: 10

Question: Population of two towns are 2 lakh and 3 lakh respectively and their respective death rites are 4 per thousand and 3 per thousand. Death rate of the two town taken together is :

• a) 7 per thousand
• b) 3.5 per thousand
• c) 3.4 per thousand
• d) None of these

Answer: 3.4 per thousand

Question: Population of three villages are 9000, 4000 and 7000 and their death ratio are 2 per thousand, 3 per thousand and 1 per thousand. The combined death rate of the three villages is :

• a) 2 per thousand
• b) 1.85 per thousand
• c) 6 per thousand
• d) None of these

Answer: 1.85 per thousand

Question: If the mid years population = 2,50,000, total number of death in that year = 2800 then find out CDR.

• a) 11.2
• b) 1.12
• c) 10.2
• d) 1.2

Answer: 11.2

Question: In the following distribution find the specific death rate (S.D.R.) of age group 40 - 60.

• a) 3.65 per thousand
• b) 5.15 per thousand
• c) 20 per thousand
• d) 6.15 per thousand

Answer: 5.15 per thousand

Question: If the mean of x1 and x2 is M1, and that of x1, x2, x3, x₄ is M2, then find the mean of x1 x2/a, x3 + a, x4 - 4

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Mean score of 25 observation is 80 and that of another 75 observation is 60. The mean score of all observation taken together is

• a) 65
• b) 75
• c) 85
• d) None of these

Answer: 65