Sorting

Q. The weights of new born babies (in kg) in a hospital on a particular day are as follows:
2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4
(i) Rearrange the weights in descending order.

(ii) Determine the highest weight.

(iii) Determine the lowest weight.

(iv) Determine the range.

(v) How many babies were born on that day?

(vi) How many babies weigh below 2.5 kg?

(vii) How many babies weigh more than 2.8 kg?

(viii) How many babies weigh 2.8 kg?

Q. The number of runs scored by a cricket player in 25 innings are as follows:
26, 35, 94, 48, 82, 105, 53, 0, 39, 42, 71, 0, 64, 15, 34, 67, 0, 42, 124, 84, 54, 48, 139, 64, 47

(a) Rearrange these runs in ascending order.

(b) Determine the player, is highest score.

(c) How many times did the player not score a run?

(d) How many centuries did he score?

(e) How many times did he score more than 50 runs?

Q.

The consecutive class marks of a data having continuous class intervals having class width as 5, have a gap of ________ between them.

1. 4.5

2. 2.5

3. 5

4. 10

Q.

The following marks were obtained by the students in a test : 81, 72, 90, 90, 86, 85, 92, 70, 71, 83, 89, 95, 85, 79, 62

The range of the marks is

1. 9

2. 17

3. 27

4. 33

Q. The two consecutive class marks of a distribution are 52 and 57. Find the class limits of the two intervals.

Q. Question 8 (ii)
Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:
$$\begin{array}{cccccccccc}1& 6& 2& 3& 5& 12& 5& 8& 4& 8\\ 10& 3& 4& 12& 2& 8& 15& 1& 17& 6\\ 3& 2& 8& 5& 9& 6& 8& 7& 14& 12\end{array}$$
(ii) How many children watched television for 15 or more hours a week?

Q.

The monthly pocket money of six friends is given below:
Rs 45, Rs 30, Rs 40, Rs 50 , Rs 25, Rs. 45
(i) What is the highest pocket money?
(ii) What is the lowest pocket moneY?
(iii) What is the range?
(iv) Arrange the amounts of pocket money in ascending order.

Q. Write the class-size in each of the following:

(a) 0-4, 5-9, 10-14

(b) 10-19, 20-29, 30-39

(c) 100-120, 120-140, 160-180

(d) 0-0.25, 0.25-0, 0.50-0.75

(e) 5-5.01, 5.01-5.02, 5.02-5.03

Q.

Find the solution of the given problem:

$(-9)+(+13)$

Q. Question 8 (ii)
Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:
$$\begin{array}{cccccccccc}1& 6& 2& 3& 5& 12& 5& 8& 4& 8\\ 10& 3& 4& 12& 2& 8& 15& 1& 17& 6\\ 3& 2& 8& 5& 9& 6& 8& 7& 14& 12\end{array}$$
(ii) How many children watched television for 15 or more hours a week?

Q. Srimati Lal won a lottery of Rs. $25,00,000$. One fifth of the amount was donated to public health service, $2/5$ of the left was donated to school and $3/4$ of the left to the army fund. How much money was donated to the army fund?

1. Rs. $8,00,000$
2. Rs.$8,000$
3. Rs. $12,00,00$
4. Rs. $9,00,000$

Q. Question 5 (ii)
The following table gives the life times of neon lamps:
$$\begin{array}{cc}Length\left(inhours\right)& Numberoflamps\\ 300-400& 14\\ 400-500& 56\\ 500-600& 60\\ 600-700& 86\\ 700-800& 74\\ 800-900& 62\\ 900-1000& 48\end{array}$$
(ii) How many lamps have a life time of more than 700 hours?

Q. The following data gives the distribution of height of students
$\begin{array}{cccccccc}Hight\left(incm\right)& 160& 150& 152& 161& 156& 154& 155\\ Numberofstudents& 12& 8& 4& 4& 3& 3& 7\end{array}$
The median of the distribution is

1. 154
2. 155
3. 160
4. 161

Q. State true or false.
After collection of data, we should check for sorting of the collected data before representing it on graphs.

1. True
2. False

Q.

Find the solution of the given problem:

$(+7)+(-10)$

Q. A village, having a population of $4000$, requires $150$ litres of water per head per day. It has a tank measuring $20$ m $\times 15$ m $\times 6$ m. For how many days will the water of this tank last?

Q. The monthly pocket money of six friends is given below:
Rs 45, Rs 30, Rs 50, Rs 25, Rs 45

(a) What is the highest pocket money?

(b) What is the lowest pocket money?

(c) What is the range?

(d) Arrange the amounts of pocket money in ascending order.

Q.

Number of runs scored by a cricket player in 25 innings are as follows:

26, 35, 94, 48, 82, 105, 53, 0, 39, 42, 71, 0, 64, 15, 34, 67, 0, 42, 124, 84, 54, 48, 139, 64, 47.

The number of centuries scored by him is

1. 5

2. 3

3. 0

4. 1

Q. Graphical representation of data helps us to understand the given data more easily than a table.

1. False
2. True

Q.

The weights of new born babies (in kg ) in a hospital on a particular day are as follows:
$$\begin{array}{ccccccccc}2.3,& 2.2,& 2.1,& 2.7,& 2.6,& 3.0,& 2.5,& 2.9,& 2.8,\\ 3.1,& 2.5,& 2.8,& 2.7,& 2.9,& 2.4& & & \end{array}$$
(i) Rearrange the weights in descending order.
(ii) Determine the highest weight.
(iii) Determine the lowest weight.
(iv) Determine the range.
(v) How many babies were born on that day?
(vi) How many babies weigh below 2.5 kg?
|(vii) how many babies weigh more than 2.8 kg
(viii) How many babies weigh 2.8 kg?

Q.

The weights of newborn babies (in kg) in a hospital on a particular day are as follows: $2.3,2.2,2.1,2.7,2.6.3.0,2.5,2.9,2.8,3.1,2.5,2.8,2.7,2.9,2.4$.

Determine the lowest weight.

Q.

The number of runs scored by a cricket player in 25 innings are as follows:
$$\begin{array}{ccccccccccc}26,& 35,& 94,& 48,& 82,& 105,& 53,& 0,& 39,& 42& 71\\ 0,& 64,& 15,& 34,& 67,& 0,& 42,& 124,& 84,& 54,& 48,\\ 139,& 64,& 47.& & & & & & & & \end{array}$$

(i) Rearrange these runs in ascending order.
(ii) Determine the player is highest score.
(iii) How many times did teh player not score a run?
(iv) How many centuries did he score?
(v) How many times did he score more than 50 runs?

Q.

A rectangular cardboard of dimension 20 m $\times$ 10 m is placed on a table. 4 squares of side 2.5 m are cut out from the corners and the 4 sides are folded . Find the surface area of the resulting figure which is to be painted on all the sides.

1. 175 $m^2$

2. 180 $m^2$
3. 155 $m^2$
4. 100 $m^2$

Q. data is very crucial when we deal with a large set of data.

1. Organizing
2. Scattered
3. Jumble

Q. State true or false.
After collection of data, we should check for sorting of the collected data before representing it on graphs.

1. True
2. False

Q.

The final marks in mathematics of 30 students are as follows:
$$\begin{array}{cccccccccc}53,& 61,& 48,& 60,& 78,& 68,& 55,& 100,& 67,& 90\\ 75,& 88,& 77,& 37,& 84,& 58,& 60,& 48,& 62& 56\\ 44,& 58,& 52,& 64,& 98,& 59,& 70,& 39,& 50,& 60\end{array}$$
(i) arrange these marks in the ascending order,
30 to 39 one group, 40 to 49 second group, etc.
Now answer the following
(ii) What is the highest score?
(iii) What is the lowest score
(iv) What is the rane?
(v) if 40 is the pass mark how many have failed?
(vi) How many have scored 75 or more?
(vii) Which observations between 50 and 60 have not actually appeared?
(viii) How many have scored less than 50 ?