SocialTwist Tell-a-Friend

Ask a Question? Get an Answer!


Question: Which of the following statement(s) is/are true ?
I. If the mean of the given data set 3, 6, 12, ___ is 9, then the missing number is 12.
II. If the mode of the given data set 1, 0, 2, 5, 9, 11, 13, 14, 7, ___ is 0, then the missing number is 3.
III. If the median of 2, 3, 11, 1, 6, 14, ___ , 8, 9 is 8, then the missing number is greater than 8.


A ) III only
B ) I and II only
C ) I only
D ) II only

Steps to derive

1 Let x be the missing number.

2 Mean is X = ∑Xn = 3+6+12+x4 = 9

3 x = 36 - 21 = 15 ≠ 12. So, statement I is false.

4 Mode is the data value which occurs most often in the data set. Since the mode of the given data set is 0, the missing number should be 0 only. So, statement II is false.

5 The median is the half way point in the ordered data set. Order the given data set: 1, 2, 3, 6, 8, 9, 11, 14.

6 Since 8 is the median, 8 should be the mid point. So, the missing value should lie on the right of 8. So, the number is greater than 8. So, statement III is true.

7 Therefore, only statement III is true.



Hence the right answer is Option A

Click Here To Go Back


Few Other Questions -

  • Which of the following best describes the solution of the inequality -3 < x + 4 ≤ 5?..
  • Find the outlier for the stem and leaf plot...
  • Which of the following choices describes the solution of the inequality 0 < x + 7 < ..
  • Find the outlier for the data in the line plot...
  • Find the outlier for the line plot...
  • Identify the outlier in the line plot...
  • The audible frequency range of a dog is 25 Hz to 50000 Hz. Write an inequality to describe..
  • The angles of elevation of the top of a tower from the top and bottom of a 60 m high build..
  • Which of the circle graphs is the representation of the table about the availability of vi..
  • Identify 7.8 × 10- 3 in standard form...
  • What is the value of n, if 6980 = 6.98 × 10n?..
  • Which of the numbers is greater, 6 × 102 or 7 × 103?..
  • Solve: 4d - 5 ≤ - 9..
  • An alloy of bronze used for making bush bearing contains 8% graphite. Express your ans..
  • Write the scientific notation of the fraction 44000...
  • A vertical pole is 70 m high. Find the angle formed by the pole at a point 70 m away from ..
  • What is the area of the trapezoid, lengths of whose parallel sides are 6 cm, 10 cm, and wh..
  • What is the surface area of the sphere in the figure? [Use π = 3.14.]..
  • What is the volume of the sphere, if the diameter of the sphere is 18 yd?..
  • Solve: - 4 - 4d ≤ - 5..
  • What is the diameter of the sphere, if the surface area of the sphere is 784π ft2?..
  • Find the area of the parallelogram ABCD, if it is constructed by red and blue color trapez..
  • Find the values of A and B in the circle graph...
  • The radius of the sphere is 3 ft. What is the volume of the sphere, if the radius of the s..
  • What is the value of x, if √(2x-5) + 5 = 6?..
  • Solve the inequality: - 7d - 3 ≥ - 6..
  • Which one of the figures shown represents a trapezoid?..
  • What is the surface area of a ball of radius 10 cm?..
  • Find the value of A in the circle graph...
  • The circle graph represents the percentages of people who like different fruits. Find the ..
  • Which of the expressions represents a, if the equation a = (-22 + 3) + 2 illustrates the a..
  • The volume of a sphere is divided by its surface area and the result is 24 cm. What is the..
  • What is the value of x, if √(x+2) = x?..
  • Which one shows the associative property being applied to the expression 7 + (3 + 5)?..
  • Solve: - d2 - 6 ≤ 2..
  • What is the ratio of the surface area of a sphere with radius 1 in. to the surface area of..
  • Which of the algebra tiles represent the standard form of polynomials?..
  • Which number does the letter K represent on the number line, if each division on the numbe..
  • Find the area of the colored region in the figure...
  • What is the value of x, if the area of the triangle is 40 square units?..
  • Which of the following model represents the polynomial expression 4x2 - 4x - 2?..
  • Which number does the letter L represent on the number line, if every division on the numb..
  • Solve: 3.6 < 0.22d - 9..
  • Solve: -0.60 < -0.15d - 0.30..
  • Write the expression 2√6 + 9√6 in its simplest form...
  • A boat can carry less than 280 lb of food and equipment together, of which it must carry 1..
  • Which of the following integers is represented by the set of tiles? [Each ¢ represents ..
  • Which of the following integers is represented by the set of tiles? [Each ¢ represents ..
  • There are three positive and two negative tiles. How many additional tiles of each color a..
  • Sam divides a number n by - 5 and then subtracts 3 from the quotient. The result is at mos..
  • The sum of two positive integers is ______________...
  • Which of the following properties satisfies the given equation? (0.4 + 0.04) + 0.004 = 0.4..
  • What property is illustrated by the equation? (2.87 + 9.67) + 4 = 2.87 + (9.67 + 4)..
  • The base area of the pyramid is 10 cm2 and height is 6 cm. What is the volume of the pyram..
  • Find the value of a if the equation 1 + (9.3 + 8.12) = a satisfies the associative propert..
  • What is the range of y = -√x, for x = 3, 4, 5, 6 and 7?..
  • Identify the equation that satisfies the commutative property...
  • What is the value of a, if the equation p × q × r = r × a illustrates th..
  • Identify the equation that does not satisfy the commutative property...
  • What is the volume of the figure?..
  • Find the value of s in the equation a × b × c × d = c . a . b . s, if th..
  • Which of the following satisfies the identity property of multiplication?..
  • What is the commutative property of addition?..
  • "The University U offers hostel facilities for at most 800 students." Which of the followi..
  • Which of the following properties is illustrated in 2.9 × 1 = 2.9?..
  • Which of the following properties is satisfied by 42.35 × (4 × 0.25) = 42.35?..
  • Which of the following properties is illustrated by 1 × 0.047 = 0.047?..
  • Which of the following expressions is equivalent to the expression x + x5 ?..
  • Which of the following expressions is equivalent to the expression a + √4a?..
  • Which of the following expressions is equivalent to the expression that follows? (4 &time..
  • Find the equivalent expression for 3 × 7...
  • Evaluate: -2 + 5 + (-1) - 2..
  • Is the statement 3 + (4 - 4) = 3 true?..
  • Simplify (-4) + 5 + 4 using the commutative property...
  • Find an equivalent expression for √3 + 3, if the expression satisfies the commutativ..
  • Find the value of (-4) + [61 + (-5)], using the commutative property...
  • What is the value of the expression 36 + (3 + 7) - 7?..
  • The circle graph shows the distribution of 15000 passengers by cruise. From the circle gra..
  • The circle graph represents the age groups of passengers who traveled to New York last yea..
  • The circle graph shows the percentage of money granted to different sectors in a state. Wh..
  • The number of computers sold in a day by different companies is represented in the pie cha..
  • The number of passengers traveling to different places from a city in a day are represente..
  • The graph represents the scores of four students in an examination. Tell whether the graph..
  • The annual income of Arthur is shown in the table. Choose the correct line graph and deter..
  • The cost of constructing a house in a city is $90,000. The selling prices (in $1000) of fi..
  • The graph represents the number of toys sold each month in a toy shop. Why is the graph mi..
  • Why is the graph misleading?..
  • Do the two graphs plot the same data?..
  • The discounts offered by a super market are shown in the table. Which of the histograms is..
  • The table shows the number of states that have a certain population. Which histogram repre..
  • The table represents the number of vehicles that go in a particular route during different..
  • The increase in the number of women competing in a beauty contest held by a company, from ..
  • The number of channels viewed by people of different age groups is given in the table. Fi..
  • Simplify: 32 - (42 - 22)..
  • Simplify: 32(52 - 42)..
  • Simplify: 112 + 62(7 - 4)..
  • Jerald has 36 dark colored balloons and 52 light colored balloons. He wants to arrange the..
  • A zoo has 32 lions and 40 elephants. The authorities of the zoo want to divide the animals..
  • A piggy bank contains 12 dollar coins and 22 rupee coins. Jake wants to arrange the coins ..
  • Simplify: (92 ÷ 32) - (122 ÷ 42)..