Question

*10 प्रेक्षणों का माध्य 16 है। जांच करने पर ज्ञात हुआ कि दो प्रेक्षण 8 व 7 के स्थापन पर 4 व 6 गलती से लिखे दिए गए हैं। सही माध्य है-* 1️⃣ 15.5 2️⃣ 16 3️⃣ 16.5 4️⃣ 17​

Answer 1

Answer:

16 is a right answers otmfho raindrop

Answer 2

Given,

$\[\frac{{{x_1} + {x_2} + {x_3} + - - - + {x_9} + {x_{10}}}}{{10}} = 16\]$

4 and 6 are written instead of 8 and 7

Solution,

$\[\frac{{{x_1} + {x_2} + {x_3} + - - - + {x_9} + {x_{10}}}}{{10}} = 16\]$

$\[ \Rightarrow {x_1} + {x_2} + {x_3} + - - - + {x_9} + {x_{10}} = 160\]$

$\[ \Rightarrow {x_1} + {x_2} + 4 + 6 + - - - + {x_9} + {x_{10}} = 160\]$

$\[ \Rightarrow {x_1} + {x_2} + \left( {4 + 4 - 4} \right) + \left( {6 + 1 - 1} \right) + - - - + {x_9} + {x_{10}} = 160\]$

$\[ \Rightarrow {x_1} + {x_2} + \left( {8 - 4} \right) + \left( {7 - 1} \right) + - - - + {x_9} + {x_{10}} = 160\]$

$\[ \Rightarrow {x_1} + {x_2} + 8 + 7 + - - - + {x_9} + {x_{10}} = 165\]$

Calculate the correct mean.

$\[ = \frac{{{x_1} + {x_2} + 8 + 7 + - - - + {x_9} + {x_{10}}}}{{10}}\]$

$\[ = \frac{{165}}{{10}}\]$

$\[ = 16.5\]$

Hence the correct mean is $\[16.5\]$

The correct option is (3), i.e. $\[16.5\]$