Question: The table shows the percentage of scores obtained by John each year during his four year degree course. Which of the following is the equivalent box-and-whisker plot of the data? Also find out the median of scores obtained. Year Percentage of scores 1st Year 70 2nd Year 82 3rd Year 76 4th Year 80
A ) Plot 1, 78 B ) Plot 2, 90 C ) Plot 3, 60 D ) Plot 4, 80 Steps to derive 1 The ascending order of the percentages obtained by John is 70, 76, 80, 82.2 In the percentages, the least value is 70 and the greatest value is 82.3 Middle quartile = Median of all the data4 = 7 6 + 8 0 2 = 156 2 = 78 [Add and simplify.]5 Lower quartile = Median of lower half of the data6 = 7 0 + 7 6 2 = 146 2 = 73 [Add and simplify.]7 Upper quartile = Median of upper half of the data8 = 8 0 + 8 2 2 = 162 2 = 81
[Add and simplify.]9 So, plot (1) is the equivalent box-and-whisker plot of the data.10 Median of the scores obtained by John = Middle quartile = 78Hence the right answer is Option A Click Here To Go Back Few Other Questions - What can be said about the congruency of ΔABC and ΔDEF , if AB = DE and AC = D.. In the triangles ABC and DEF, AB = DE, AC = DF, m∠D > m∠A. Which is greater, BC.. Two corresponding sides of two triangles are congruent. The triangle, which has a larger i.. Which segment is longer, CE‾ or DB‾ with O being the center of the circle?.. What is the relationship between θ and α?.. ABCD is a rhombus. ∠DCB = xo. If x = 75, which is greater, DB or CA?.. Which is the shortest among the following?.. AB > AC and D is any point on side BC. What is the relationship between AB‾ and.. Let S be any point in the interior of ΔPQR. Which is greater: (SQ + SR) or (PQ + PR).. Q is a point on side SR of ΔPSR, such that PQ = PR. Find the relationship between PS.. PR > PQ and PS‾ is the bisector of ∠QPR. What is the relation between &ang.. AD‾ is the bisector of ∠A of ΔABC, where D lies on BC. What is the relat.. AB and CD are the smallest and the largest sides of a quadrilateral ABCD respectively. The.. AC > AB and D is a point on AC‾ such that AB = AD. What is the relation between.. T is a point on side QR‾ of ΔPQR and S is a point such that RT = ST. Which o.. In the figure, ∠E > ∠A and ∠C > ∠D. What is the relation between AD .. Diagonals PR‾ and QS‾ of a quadrilateral PQRS intersect each other at O. W.. If PR > PQ, then which of the following is true?.. S is any point on the side QR‾ of ΔPQR. Find PQ + QR + RP PS... In ΔABC, if AB = BC, then, which of the following is true?.. In ΔABC, BE‾ and CF‾ are the altitudes and they intersect inside the.. In ΔABC, AB = AC. Straight line L cuts AB‾ and AC‾ at P, Q and BC&Ov.. Let P cm and R cm denote perimeter and the sum of the length of the diagonals of a quadril.. In ΔPQR, the bisectors of the angles Q and R meet at M. If PQ > PR, then find the.. In ΔPQR, the sides PQ‾ and PR‾ are produced to X and Y respectively... Use the properties of equality to solve the equation 5a - 2 = 3... Solve the equation 5(12x + 15) = 6x + 19 using the properties of equality... Solve i9d + 7g = 8 for i... Tell what you would first do to solve the equation 2v + 35 = 3u - 3x for v... Write the first step to solve the equation: 9c(7j + 8m9 ) = 46 for m. Do not solve the eq.. What will be your first step to solve the equation 6r - 7z = 8g2b , for r ?.. Solve 6cn + 4j = 5d for n and indicate any restrictions on the values of the variables... Solve the equation 5h-8b3n = 14e for n, and indicate any restrictions on the values of the.. Solve the formula V = 13π r2 h for the variable h. Indicate any restrictions on the val.. Solve the formula p = 2(l + b) for b... Solve the formula v = u + at for a. Indicate any restrictions on the values of the variabl.. Write the first step to solve the equation 53(4 + 5h) = 5e for h... Solve 1f = 1u + 1v for u... Solve 3d(9jv + 8b) = 9e(wv + 5) for v and indicate any restrictions on the values of the v.. Solve F = 95C + 32 for C... Solve s = 2πr(r + h) for h and indicate any restrictions on the values of the variables.. Solve P = 100IRT for I... Solve n = aq(q - r) for q and indicate any restrictions on the values of the variables... Solve 50r = 8a + 253h, r ≠ 0, h ≠ 0, for r... Solve z = 8p + 56q64 for p... Solve V = π(R - s)h for s... Solve 2z + 11e = 13hc for z and indicate any restrictions on the values of the variables... Solve m = y2 -y1x2 -x1 for x1... Solve y = mx + c for m... The total surface area of a cuboid is given by the formula A = 2(lw + wh + lh). Find the h.. The volume of a sphere is given by the formula V = 43πr3. Find the radius of a sphere w.. The kinetic energy E, of a body moving with a velocity v is given by the equation E = 12m.. The formula x = p + x-p22p + 1 is used to approximate the square root of a numbe.. Which of the following pair are like radicals?.. What is the number of terms in the product (8 + 7)(8 - 7), after like terms have been comb.. Find the number of terms in the product (417 + 7) (17 - 47), after like terms have been co.. Find the conjugate of the binomial 5 - 7 ... Find the conjugate of the binomial 19 + 2... Simplify : 42 + 52.. Simplify : 11 55 - 8 55.. Simplify: 350 + 98 + 5162.. Simplify: 1080 - 645.. Simplify: 3 875 3 + 5 2401 3.. Simplify: 10 120054 - 6 12804.. Simplify: (5 + 6)(7 + 5).. Simplify: (3 - 42)(5 - 52).. Simplify : (17 - 7) (817 + 57).. Simplify: (2 + 11)2.. Simplify: (17 - 7)2.. Simplify: (417 + 53)2.. Simplify: (19 - 3)(19 + 3).. Simplify: (519 + 37)(519 - 37).. Simplify: 427 -7.. Simplify: 26713 + 45.. Simplify: 5 + 95 - 2.. Simplify: 7+265+26.. Simplify: 25 - 26.. Simplify: 6 - 2196 + 219.. Simplify: 3 +91213 -7 .. Simplify: 19 -1719 +17.. Simplify: 5 -6127 - 35.. Simplify: 1575 + 1008 + 700.. Simplify: 5 + 4125 - 8500.. Simplify: - 418x + 1098x.. Simplify: (35 + 313)(- 55 + 1013).. Simplify : (x - 33)(x - 3).. Simplify: 17x9-x3+6x108.. Simplify : (4 - 934)(4 + 934).. Simplify: x - 2x + 5 - x + 5.. Simplify: 6255-16255.. Simplify: 9+x23x3.. Simplify: (x-y)2x-2xy+y.. Find the value of 14 + 233... Simplify: 19 - 234.. Simplify: 20 - 219 ⋅20 + 219.. A rectangular plot of land is 67 m wide and 187 m long, then the perimeter of the plot is .. Three resistances 35 ohms, 85 ohms and 115 ohms are connected in a series circuit. What is.. If x = 3 - 2 and y = 3 + 2, then the value of x2 + y2 is:.. What is the additive inverse of the complex number - 5 + 5i?.. What is the additive inverse of - 3i?..