Standard Deviation of Grouped Data by Assumed Mean Method

Q.

How do you interpret mean and standard deviation?

Q. The runs scored by batsmen in a game are given below
$\begin{array}{ccccc}x& 10& 20& 30& 40\\ f& 2& 3& 1& 4\end{array}$
Find the standard deviation of the runs scored by Assumed mean method.

1. 11.87
2. 14.25
3. 12.89
4. 15.65

Q. In the calculation of standard deviation for grouped data (mean method), $d_i$ = ____?

1. $d_i=x_i-\overline{x}$
2. $d_i=a_i-\overline{x}$
3. $d_i=\overline{x}-x_i$
4. $d_i=\overline{x}-a_i$
   

Q. Match the value of standard deviation with respective method and their data.

1. $\sqrt{2.5}$
2. $\sqrt{2}$
3. $\sqrt{0.5}$

Q. Match the value of standard deviation with respective method and their data.

1. $\sqrt{2.5}$
2. $\sqrt{2}$
3. $\sqrt{0.5}$

Q. Calculate the average age of students in a class using Assumed mean method.

1. $9$ years
2. $7$ years
3. $12$ years
4. $13$ years

Q. If $y^2+2\sqrt{3}y-9=0$, then $y=\sqrt{3},-3\sqrt{3}$.

1. Yes
2. No
3. Ambiguous
4. Data insufficient

Q. The number of toys sold for 5 days are given as 1, 2, 3, 4, 5.
Find it's standard deviation using mean method.

1. 1.41
2. 2.52
3. 3.25
4. 4.56