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<html><body><h2 id="content-id-0963527814-2"><b>Statistics Questions Overview</b></h2><p>Statistics Questions have a good weightage in the Ssc Cgl Exam and the type of question asked in Ssc Cgl exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in Statistics Questions.</p><h2 id="content-id-1726489350-3"><b>Question On Statistics </b></h2>What is the sum of the first 12 terms of an arithmetic progression, if the 3rd term is -13 and the 6th term is -4?
<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Moderate </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 32 Seconds </h3></div></div><h2 id="content-id-6501437928-4"><b> Statistics Questions Options</b></h2><ol><li><p>-30</p>
</li><li><p>-45</p>
</li><li><p>45</p>
</li><li><p>30</p>
</li></ol> <h2 id="content-id-8467213095-5"><b> Statistics Questions Solution</b></h2><p>The correct answer is <strong>Option 1</strong> i.e. <strong>-30.</strong></p>

<p><strong>Case I:</strong></p>

<p>T<sub>3</sub> = -13</p>

<p>⇒ a + (3 - 1)d = -13</p>

<p>⇒ a + 2d = -13   ...(i)</p>

<p><strong>Case II:</strong></p>

<p>T<sub>6</sub> = -4</p>

<p>⇒ a + (6 - 1)d = -4</p>

<p>⇒ a + 5d = -4   ...(ii)</p>

<p>On subtracting (ii) from (i), we get:</p>

<p>⇒ a + 5d - a - 2d = -4 + 13</p>

<p>⇒ 3d = 9</p>

<p>⇒ d = 3</p>

<p>Now, Put the value of d in equation (i)</p>

<p>⇒ a + 2d = -13  </p>

<p>⇒ a = -13 - 6</p>

<p>⇒ a = -19</p>

<p>And, n = 12 [Given]</p>

<p>Formula:</p>

<p>Sum = n/2[2a + (n -1)d]</p>

<p>Required AP = -19, -16, -13, -10 ........t<sub>12</sub></p>

<p>Sum = 12/2[2(-19)+ (12 -1)3] = 6[-38+ 33] = 6(-5) = -30</p>

<p>Hence, the sum of the first 12 terms of a given arithmetic progression is -30</p>
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The correct answer is Option 1 i.e. -30 - Statistics Questions are asked in Ssc Cgl exams and your question has been explained by experts like Neetu Mam.

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