Test: Histograms - UGC NET MCQ

Given:
The number of employees whose income is in the range of Rs. 20,000 - Rs. 25,000 = 25
The number of employees whose income is in the range of Rs. 25,000 - Rs. 30,000 = 45
The number of employees whose income is in the range of Rs. 30,000 - Rs. 35,000 = 66
The number of employees whose income is in the range of Rs. 35,000 - Rs. 40,000 = 44
number of employees whose income is in the range of Rs. 40,000 - Rs. 45,000 = 35

Calculation:
According to the question, The total number of employee = 25 + 45 + 66 + 44 + 35 = 215
The number of employees whose income is in the range of Rs. 30,000-Rs. 40,000 = 66 + 44 = 110
The required percentage = 110 x 100 ≈ 51%

Formula Used:
Adjusted frequency = (Frequency of the classinterval x Minimum ClassWidth)/Class width of the required interval

Calculation:
For classinterval
15 - 25,
Classwidth = upper limit of the class- lower limit of the class
=> Classwidth = 2 5 - 1 5 = 1 0
Frequency of that interval = 10
Minimum classwidth here is for the interval 5 - 10= 5
Adjusted frequency = (10* 5)/10= 5
Therefore, the adjusted frequency for the class interval 15 - 25 is 5.

Calculations:
According to the question,
Students obtained 135 marks = 2
Students obtained 140 marks = 8
Students obtained 145 marks = 5
Students obtained 150 marks = 4
Students obtained 155 marks = 1
Total students obtained marks more than 130 = 2 + 8 + 5 + 4 + 1 = 20
∴ 20 students obtained marks more than 130.

Given:
There is the histogram shows the daily wages ( in Rs.)of workers in a factory.
Calculation:
The number of workers with daily wages lessthan Rs.180= 55+ 80+ 108 = 243
The number of workers with daily wages is more than Rs. 190 = 150+ 105+ 70 = 325
The percentage = (243/325) x 100 = 74.76...% = 74.8%
∴ The number of workers with daily wages less than Rs. 180 is 74.8% of the number of workers with daily wages more than Rs. 190

Given:
The total marks of the test = 30
Minimum pass marks = 10

Calculation:
50% of the total marks = (50/100) × 30 = 15
Total number of students who scored between 10 and 15 = 7
∴ A total number of 7 students have passed the test and obtained less than 50% marks.

Given:
Total number of students = 40

Calculation:
The total number of students who scored 20 or more marks = 10 + 5 = 15
The percentage = (15/40) × 100 = 37.5%
∴ The total 37.5% of students scored 20 or more marks.

Given:
The total number of students = 350

Calculation:
The total number of students who scored 140 marks and above = 55 + 40 + 15 = 110
The total number of students who scored marks between 60 to 120 = 32 + 45 + 60 = 137
The ratio = 110 : 137
∴ The ratio of the total number of students who scored 140 marks and above to the total number of students who scored marks between 60 to 120 is 110 : 137

Calculation:
The number of persons weighing 55 kg or more but less than 75 kg = (25 + 35 + 52 + 48) = 160
The number of persons weighing 80 kg or more but less than 100 kg = (38 + 30 + 13 + 9) = 90
Now,
Required percentage = [(160 – 90)/90 × 100]
⇒ (70/90 × 100)
⇒ (700/9)
⇒ 77.8%
∴ The required percentage is 77.8%

Calculation:
Total students who have secured less than 60% = 10 + 30
⇒ 40
Total students who have secured 80 or more than 80% = 40 + 25
⇒ 65
Difference = 65 - 40
⇒ 25
Required % = (25/65) × 100
⇒ 38.46 ≈ 38.5%
∴ Required answer is 38.5%.

Given:
There are the number of cars passing the road near a colony from 6 am to 12 noon has been shown in the following histogram.

Calculation:
The number of cars passed between 6 am and 8 am = 70 + 105 = 175
The number of cars passed between 9 am and 11 am = 115 + 95 = 210
The ratio = 175 : 210 = 5 : 6
∴ The ratio of the number of cars passed between 6 am and 8 am to the number of cars passed between 9 am and 11 am is 5 : 6