Formula to find mean for a grouped data is 

Correct Answer - 4.25

Correct Answer - 6.2

Correct Answer - (i) सत्य (ii) असत्य (iii) सत्य (iv) असत्य

Correct Answer - 27.2

Correct option is (B) 3 Mode - Mean  = k (Median - Mean) Mode = Mean + K.Median - K.Mean Mode = K.Median + (1 - K)Mean We know formula Mode = 3 Median - 2...

Correct option is (A) \(A + \frac{\sum f_i \, d_i}{\sum f_i}\) \(A + \frac{\sum f_i \, d_i}{\sum f_i}\) is a formula to find the mean for a grouped data.

Correct option is (B) 45 Given that mean of the data \(x_1, x_2, x_3 , x_4 , x_5\) is 15. \(\therefore\) \(\frac{x_1+x_2+x_3+x_4+x_5}5=15\) \(\Rightarrow\) \(x_1+x_2+x_3+x_4+x_5\) \(=15\times5=75\)   _________(1) If each observation is multiplied by 3 then Mean \(=\frac{3x_1+3x_2+3x_3+3x_4+3x_5}5\) \(=\frac35(x_1+x_2+x_3+x_4+x_5)\) \(=\frac35\times75=45\)

Correct option is (A) Assumed mean In formula \(\overline X = A + \frac{\sum f_i d_i}{\sum f_i} ,\) letter A represents for assumed mean.