Mean of a Grouped Data

Q.

What is the mean of the given data?

$\begin{array}{cc}x& f\\ 4& 10\\ 8& 11\\ 12& 9\\ 16& 13\end{array}$

1. 10.33
2. 10.32
3. 10.15
4. 10.17
   

Q. To find the median of grouped data, the cumulative frequency never can be greater than _____.

1. $f_m$
2. N
3. i
4. $f_c$

Q. Choose the rational number which does not lie between rational numbers $\frac{3}{5}$ and $\frac{2}{3}$

1. $\frac{46}{75}$
2. $\frac{47}{75}$
3. $\frac{49}{75}$
4. $\frac{50}{75}$

Q.

1. 12.17
2. 12.16
3. 12.14
4. 12

Q. Find the mean of the following data.

$$\begin{array}{cccccc}Class& 0-10& 10-20& 20-30& 30-40& 40-50\\ Frequency& 6& 7& 11& 9& 7\end{array}$$

1. 72
2. 30
3. 18
4. 36

Q.

The mean of the following distribution is:
$\begin{array}{ccccc}{\text{x}}_i& 10& 13& 16& 19\\ {\text{f}}_i& 2& 5& 7& 6\end{array}$

1. 15.2

2. 15.35

3. 15.55

4. 16

Q. What is the mean of the given data?

$\begin{array}{cc}x& f\\ 4& 10\\ 8& 11\\ 12& 9\\ 16& 13\end{array}$

1. $444$
2. $10$
3. $10.33$
4. $43$

Q. To find mean value for grouped data we use $\overline{x}$ = $\frac{\sum fx}{N}$. Here N is stands for ____.

1. sum of all frequencies
2. first frequency value
3. second frequency value
4. last frequency value

Q. The mean of the following distriution is
$$\begin{array}{ccccc}x& \text{10}& \text{13}& \text{16}& \text{19}\\ f& \text{2}& \text{5}& \text{7}& \text{6}\end{array}$$

1. 15.2
2. 15.35
3. 15.55
4. 16

Q. Find the mean of the following data.

$$\begin{array}{cccccccc}NumberofPlants& 0-2& 2-4& 4-6& 6-8& 8-10& 10-12& 12-14\\ NumberofHouses& 1& 3& 2& 4& 5& 3& 2\end{array}$$

1. 7.6
2. 15.2
3. 3.8
4. 10

Q. $\sum$fx = 5x + 2, $N$ = 12. If $\overline{x}$= 6, what is the value of $x$?

1. 12
2. 14
3. 15
4. 18

Q. Find the mean of the following distribution.

$$\begin{array}{cccccc}Class& 100-120& 120-140& 140-160& 160-180& 180-200\\ Frequency& 10& 13& 8& 7& 12\end{array}$$

1. 149.2
2. 100
3. 200
4. 249.2

Q.

If the mean of the following data is 17 then the value of p is

___

$$\begin{array}{cccccc}{x}_i& \text{10}& \text{p}& \text{18}& \text{21}& \text{25}\\ f_i& \text{10}& \text{15}& \text{7}& \text{9}& \text{9}\end{array}$$

Q. State whether the statement is true (T) or false (F).
$\frac{5}{6}$ lies between $\frac{2}{3}$ and $1$.

1. True
2. False

Q. Of the three numbers, the first is one third of the second and twice the third. The average of these numbers is $27$. The largest of these numbers is

1. $18$
2. $36$
3. $108$
4. $54$

Q. Find a rational number exactly halfway between:
$\frac{-1}{3}$ and $\frac{1}{3}$