Question

calculate the mean following data
c-i 50-70 70-90 90-110 110-130 130-150
fi 18 12 13 27 8​

Answer 1

Answer:

98.71

Step-by-step explanation:

lalllala l

nahsjsks

Answer 2

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \boxed{\boxed { \huge \mathcal\red{ solution}}}}$

$<!-- Codes by HTML.am --></p><p></p><p><!-- CSS Code --></p><p><style type="text/css" scoped></p><p>table.GeneratedTable {</p><p>width:100%;</p><p>background-color:#FFFFFF;</p><p>border-collapse:collapse;border-width:1px;</p><p>border-color:#336600;</p><p>border-style:solid;</p><p>color:#009900;</p><p>}</p><p></p><p>table.GeneratedTable td, table.GeneratedTable th {</p><p>border-width:1px;</p><p>border-color:#336600;</p><p>border-style:solid;</p><p>padding:7px;</p><p>}</p><p></p><p>table.GeneratedTable thead {</p><p>background-color:#CCFF99;</p><p>}</p><p></style></p><p></p><p><!-- HTML Code --></p><p><table class="GeneratedTable"></p><p><thead></p><p><tr></p><p><th>x_i</th></p><p><th>f_i</th></p><p><th>middle value (x_i)</th></p><p><th>d_i=x_i-a</th></p><p><th>u_i=d_i/h</th></p><p><th>f_i*u_i</th></p><p></tr></p><p></thead></p><p><tbody></p><p><tr></p><p><td>50-70</td></p><p><td>18</td></p><p><td>60</td></p><p><td>-40</td></p><p><td>-2</td></p><p><td>-36</td></p><p></tr></p><p><tr></p><p><td>70-90</td></p><p><td>12</td></p><p><td>80</td></p><p><td>-20</td></p><p><td>-1</td></p><p><td>-12</td></p><p></tr></p><p><tr></p><p><td>90-110</td></p><p><td>13</td></p><p><td>100(a)</td></p><p><td>00</td></p><p><td>00</td></p><p><td>00</td></p><p></tr></p><p><tr></p><p><td>110-130</td></p><p><td>27</td></p><p><td>120</td></p><p><td>20</td></p><p><td>1</td></p><p><td>27</td></p><p></tr></p><p><tr></p><p><td>130-150</td></p><p><td>8</td></p><p><td>140</td></p><p><td>40</td></p><p><td>2</td></p><p><td>16</td></p><p></tr></p><p></tbody></p><p></table>$

$\therefore h=class-length=20$

•now ................

here we will use Step Deviation Method to find out the mean of this data frequency table.

$\implies\boxed{x_{avg}=a+h \times \frac{ \sum f_iu_i}{ \sum f_i} }$

here......

$\rightarrow a = 100 \\ \rightarrow h =20$

therefore......

$\implies x_{avg}=a+h \times \frac{ f_1u_1 + f_2u_2 + f_3u_3 + f_4u_4 + f_5u_5 + f_6u_6}{ f_1 +f_2 + f_3 + f_4 +f_5 +f_6 } \\ \implies x_{avg}=100 + 20 \times \frac{ - 36 - 12 + 0 + 27 + 16}{18 + 12 + 13 + 27 + 8} \\ \implies x_{avg}=100 + 20 \times \frac{ - 5}{78} \\ \implies x_{avg}=100 - \frac{100}{78} \\ \implies\boxed{\red{ x_{avg}=98.72} }\: (approx)$

$\underline{ \huge\mathfrak{hope \: this \: helps \: you}}$

$\mathcal{ \&#35;\mathcal{answer with quality }\: \: \&#38; \: \: \&#35;BAL }$