MATHS Case study (4 Marks)

Read the Source/ Text given below and answer answer these questions:
A healthcare survey was done by the state health and family welfare care board of the state of Punjab. The data is collected by forming age groups; i.e; 10-15, 20-25 .... and so on. The overall data from a town is given below in the form of a bar graph. Read the data carefully and answer the questions that follow.

1. What is the percentage of the youngest age-group persons over those in the oldest age group?

1. 400.56%
2. 466.67%
3. 500%
4. 500.67%

2. What is the total population of the town?

1. 6800
2. 7000
3. 6700
4. 6600

3. How many persons are more in the age-group 10-15 than in the age group 30-35?

1. 100
2. 200
3. 250
4. 300

4. What is the age-group of exactly 1200 persons living in the town?

1. 20-25
2. 10-15
3. 15-20
4. 25-30

5. What is the total number of persons living in the town in the age-groups 10-15 and 60-65?

1. 2100
2. 2000
3. 2200
4. 2400

Read the Source/ Text given below and answer these questions:
A teacher is a person whose professional activity involves planning, organizing, and conducting group activities to develop students’ knowledge, skills, and attitudes as stipulated by educational programs. Teachers may work with students as a whole class, in small groups or one-to-one, inside or outside regular classrooms. In this indicator, teachers are compared by their average age and work experience measured in years.
For the same in 2015, the following distribution of ages (in years) of primary school teachers in a district was collected to evaluate the teacher on the above-mentioned criterion.

1. Write the lower limit of the first-class interval:

1. 15
2. 20
3. 17.5
4. 5

2. Determine the class limits of the fourth class interval:

1. 25-30
2. 30-35
3. 40-45
4. 45-50

3. Find the class mark of class 45-50:

1. 45.5
2. 47.5
3. 54.5
4. 55.5

4. Determine the class size:

1. 4
2. 5.5
3. 5
4. 6

5. Facts or figures collected with a definite purpose are called _____.

1. Data.
2. Sample.
3. Information.
4. Statistics.

Read the Source/ Text given below and answer any four questions:
A recent survey by a labour organization of the state government of Odisha found that the wages of workers in a factory for different age groups are distributed as given in the bar graph. Read the bar graph carefully and answer the questions that follow.


If a person is selected at random, find the probability that the person is.

1. 40 years or more:

1. 0.675
2. 0.576
3. 0.86
4. 0.10

2. Under 40 years:

1. 0
2. 0.325
3. 0.531
4. 0.27

3. Having age from 30 to 39 years:

1. 0.553
2. 0.513
3. 0.135
4. 0.125

4. Under 60 but above 39 years:

1. 0.62
2. 0.66
3. 0.55
4. 0.02

5. Not less than 20 years:

1. 0
2. 1.03
3. 0.01
4. 1

Read the Source/ Text given below and answer any four questions:
The weights of newborn babies (in kg.) are recorded to maintain the health report cards in Apollo hospital on regular basis. On a particular day the weights of newborn recorded are are as follows:
3.1, 3.0, 2.9, 2.9, 2.8, 2.8, 2.7, 2.7, 2.6, 2.5, 2.5, 2.4, 2.3, 2.2, 2.1.

1. Determine the range:

1. 1.0Kg
2. 2.1Kg
3. 2.7Kg
4. 2.0kg

2. How many babies were born on that day?

1. 11
2. 15
3. 12
4. 16

3. How many babies weight below 2.5kg?

1. 3
2. 4
3. 5
4. 6

4. How many babies weigh more than 2.8kg?

1. 1
2. 2
3. 3
4. 4

5. How many babies weight 2.8kg?

1. 1
2. 2
3. 3
4. 4

Read the Source/ Text given below and answer these questions:
The following data given the weight (in grams) of 30 oranges picked from a basket:
106, 107, 76, 109, 187, 95, 125, 92, 70, 139, 128, 100, 88, 84, 99, 113, 204, 141, 136, 123, 90, 115, 110, 97, 90, 107, 75, 80, Frequency distribution table:

Class Interval	Tally marks	Frequency
60 - 80	|||	3
80 - 100	|||| ||||	10
100 - 120	|||| ||||	9
120 - 140	||||	5
140 - 160	|	1
160 - 180	-	0
180 - 200	|	1
200 - 220	|	1
Total	30	30

1. Class Size of given class data:

1. 20
2. 10
3. 30
4. 15

2. Classmark of forth class:

1. 70
2. 130
3. 20
4. 15

3. The number of oranges, whose weight is more than 180g:

1. 1
2. 3
3. 2
4. 4

4. The number of oranges, whose weight is less than 100g:

1. 10
2. 3
3. 5
4. 13

5. The range of data is:

1. 70
2. 204
3. 134
4. 274

Five friends Anchal, Amisha, Mahi, Vaishu and Sahar are living in a hostel. 
At the end of every month, they calculate the expenses on food and shopping.
The table given below shows their monthly expenses for the month of November.

Name	Anchal	Amisha	Mahi	Vishu	Sahar
Expenditure (in Rs)	3000	5000	6000	4500	7000

1. Which graphical representation method would best represent the data given?
2. What is the average expense of the friends for the month of November?
3. Anchal says, “The difference between the median expenditures for October and November amounts to 0% of the November expense, and we have been able to reduce our median expense for November.”
What was their median expense for the month of October? 
  A. 12π
  B. 15π
  C. 19π
  D. 20π

In a school camp, 40 students were divided into two groups to play a game.
The table given below shows the scores of team A and team B. 

Time(s) in minutes	Cumulative Score of Team A	Cumulative Score of Team A
0-5	14	20
5-10	35	27
10-15	30	31
15-20	35	31
20-25	44	37
25-30	52	50

7. How many score points did team A get between 10-15 minutes?
  A. 6
  B. 24
  C. 30
  D. 68
8. Which team scored more points during last 5 minutes? Justify your answer.
9. What is the mean number of score points obtained by team A in a 5-minute interval rounded to the nearest whole number?

Draws a graphical representation of the points scored by team B.
His graphical representation is given below.

10. Suman says, “Arun’s graphical representation is not appropriate.” 
Do you agree with Suman? Mention YES or NO. Give reason to justify your choice.