Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Statistics

NDA 2014 · Mathematics · Statistics

Paragraph : The number of telephone calls received in 245...

<strong>Paragraph:</strong>Thenumberoftelephonecallsreceivedin245successiveoneminuteintervalsatanexchangeisgivenbelowinthefollowingfrequencydistribution.<tableclass="qx−match−listqx−match−table"border="1"cellpadding="6"cellspacing="0"><tr><td>Numberof<br>calls</td><td>0</td><td>1</td><td>2</td><td>3</td><td>4</td><td>5</td><td>6</td><td>7</td></tr><tr><td>Frequency</td><td>14</td><td>21</td><td>25</td><td>43</td><td>51</td><td>40</td><td>39</td><td>12</td></tr></table><strong>Question:</strong>Whatisthemedianofthedistribution?<strong>Paragraph :</strong> The number of telephone calls received in 245 successive one minute intervals at an exchange is given below in the following frequency distribution. <table class="qx-match-list qx-match-table" border="1" cellpadding="6" cellspacing="0"><tr><td>Number of<br>calls</td><td>0</td><td>1</td><td>2</td><td>3</td><td>4</td><td>5</td><td>6</td><td>7</td></tr><tr><td>Frequency</td><td>14</td><td>21</td><td>25</td><td>43</td><td>51</td><td>40</td><td>39</td><td>12</td></tr></table> <strong>Question :</strong> What is the median of the distribution?

Options

  1. A3.5
  2. B4
  3. C4.5
  4. D5

Correct answer

B. 4

Step-by-step solution

\begin{array}{|c|c|c|}\hline \boldsymbol{x} & \boldsymbol{f} & \boldsymbol{c f} \hline 0 & 14 & 14 \\1 & 21 & 35 \\2 & 25 & 60 \\3 & 43 & 103 \\4 & 51 & 154 \\5 & 40 & 194 \\6 & 39 & 233 \\7 & 12 & 245 \hline\end{array} Here n=245n=245 which is odd number. Hence, median =\left(\frac{n+1}{2}$\right)$th term $= \left(\frac{246}{2}\right)$ th term $=123\mathrm{th}$termHence,medianterm Hence, median=4..
Practice Statistics on Quantrex Academy →

More from Statistics

Let two lines of regression be x+y+11=0 and 2x+3y+4=0 for some data. What is the value of… NDA 2026Passage: The frequency distribution of marks obtained by 100 students in a certain… NDA 2026The standard deviation of 100 observations is 10 . If 5 is multiplied to each of the… NDA 2026Passage: The frequency distribution of marks obtained by 100 students in a certain… NDA 2026If the mean of 20 observations, namely x_1,x_2,x_3,…,x_ 20 is 1·414 , then what is the… NDA 2026If the random variable X has mean 3 and standard deviation 5 , then what is the variance… NDA 2026The standard deviation of 100 observations is 10. If 20 is added to each observation… NDA 2025Consider the following statements: I. Mean and variance have the same unit of… NDA 2025Consider the following for the four (04) items that follow: The frequency distribution of… NDA 2025Consider the following for the four (04) items that follow: The frequency distribution of… NDA 2025Consider the following for the two (02) items that follow: The sum and the sum of squares… NDA 2025The arithmetic mean of 100 observations is 50. If 5 is subtracted from each observation… NDA 2025The standard deviation of 100 observations is 10. If 5 is added to each observation and… NDA 2025Consider the following for the two (02) items that follow: The sum and the sum of squares… NDA 2025Consider the following for the four (04) items that follow: The frequency distribution of… NDA 2025The frequency distribution of the marks obtained by students in a Science examination is… NDA 2025 Full Statistics list Statistics JEE Maths PYQsJEE Mathematics PYQs All NDA PYQs