Which one of the following is the mean of the data given below? array cccccccc x_i & 6 & 10 & 14 & 18 & 24 & 28 & 30 f_i & 2 & 4 & 7 & 12 & 8 & 4 & 3 array

Correct answer: C. 19 x _ i f _ i x _ i ^ i 6 2 12 10 4 40 14 7 98 18 12 216 24 8 192 28 4 112 30 3 90 40 760 \ bar x =(∑ x_i f_i)/(f_i)=(760)/(40)= 19 Mean of the given data =19 .

NDA 2011

Exam: NDA
Year: 2011
Subject: Mathematics
Chapter: Statistics

NDA 2011 · Mathematics · Statistics

Which one of the following is the mean of the data given below?...

Which one of the following is the mean of the data given below?

\begin{array}{cccccccc}x_i & 6 & 10 & 14 & 18 & 24 & 28 & 30 \\ f_i & 2 & 4 & 7 & 12 & 8 & 4 & 3\end{array}

Options

A $17$
B $18$
C $19$
D $20$

Correct answer

C. $19$

Step-by-step solution

\boldsymbol{x}_{\boldsymbol{i}}	\boldsymbol{f}_{\boldsymbol{i}}	\boldsymbol{x}_{\boldsymbol{i}}^{\boldsymbol{i}}
6	2	12
10	4	40
14	7	98
18	12	216
24	8	192
28	4	112
30	3	90
	40	760

bar{x}=\frac{\sum x_i f_i}{f_i}=\frac{760}{40}=

19\therefore \quad

Mean of the given data

=19$.

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