# Graded Assignment 1

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1. In a general election that happened in Guntur, all the registered voters in the constituency exercised their voting rights in the election. Sudhakar, an independent candidate, who got 60% of the votes, is the winner of the general election. What kind of statistical analysis can be done using this data?

(a) Inferential Statistics

(b) Descriptive Statistics

**Answer: (b)**

The analysis can be done in the above case is descriptive because it does not involve probability/chance analysis.

2. A mobile manufacturing company received complaints from customers regarding defective mobiles. To confirm this, the company randomly selected 100 mobile phones from the total mobile phones manufactured and checked for defectiveness of mobiles. Which of the following options is/are correct?

(a) Inferential Statistics can be done using this data.

(b) Descriptive Statistics can be done using this data

(c) Randomly selected 100 mobile phones is a sample.

(d) Randomly selected 100 mobile phones is a population.

(e) All mobile phones manufactured in the company is the population.

(f) All mobile phones manufactured in the company is the sample.

**Answer: (a), (c), (e)**

(a) Inferential analysis can be done because it involves Probability/chance analysis to draw conclusion.

(b) Descriptive analysis can not be done because it involves Probability/chance analysis to draw conclusion.

(c) Sample is a subset of population, 100 mobile phones is a subset of all mobile phones, hence it is a sample

(d) Sample is a subset of population, 100 mobile phones is a subset of all mobile phones, hence it is a sample

(e) Sample is a subset of population; all mobile phones are population.

3. Suppose a sample is collected and it is used to describe and summarize the sample, then the study is:

(a) Descriptive

(b) Inferential

**Answer: (a) **

A sample is collected, and it is used to describe and summarize the sample, then the study is Descriptive.

If it is used to drawing of conclusion using chance/probability, then it is known as inferential analysis.

4. For the conclusions made through inferential statistics to be correct, which of the following statements should be valid?

(a) Sample should not be randomly selected.

(b) Sample should be randomly selected.

(c) Sample should be a representative of the population.

(d)

**Answer: (b), (c)**

If data used for drawing of conclusion using chance/probability, then it is known as inferential analysis. In which a sample is randomly selected and that sample should be representative of the whole population.

After a biomedical company generated a new vaccine for Covid-19 and tested it on the few people. few days, medical check-up was done on them and the report is given in Table 1.G. In Table BP stands for Blood Pressure, HP stands for High Pressure, and LP stands for Low Pressure. In the Gender column M stands for Male and F stands for Female. Based on this information and data given in Table 1.G.1, answer the questions 5,6 and 7.

Name |
Gender |
Weight(kg) |
BP (HP/LP) |
Temperature( |
Headache |
Vomiting |

Venkatesh |
M |
65 |
118/80 |
94 |
No |
No |

Hitesh |
M |
58 |
120/85 |
100 |
Mild |
No |

Keerthi |
F |
56 |
120/80 |
95 |
No |
No |

Manish |
M |
67 |
120/80 |
96 |
Severe |
Yes |

Dharma |
M |
55 |
130/90 |
100 |
Mild |
Yes |

Joseph |
M |
65 |
122/82 |
94 |
No |
No |

Farah |
F |
61 |
119/80 |
93 |
Mild |
No |

Ramakrishna |
M |
60 |
125/92 |
97 |
No |
No |

5. Which of the following variable(s) given in Table 1.G.1 is/are numerical variables?

(a) Headache

(b) Gender

(c) Weight (Kg)

(d) Temperature (^{0}F)

**Answer: (c), (d)**

6. Which of the following is/are case(s)?

(a) M

(b) Name

(c) Hitesh

(d) Keerthi

(e) Mild

(f) Gender

**Answer: (c), (d)**

Rows of the column represents cases.

7. Which of the following variables have ratio scale of measurement?

(a) Gender

(b) BP (HP/LP)

(c) Weight (Kg)

(d) Temperature (^{0}F)

**Answer: (c)**

Gender is variable and it is Nominal scale of measurement.

**Weight **is ratio scale of measurement.

**Temperature **is interval scale of measurement.

8. Which of the following is/are numerical variable(s)?

(a) Height (m)

(b) Aadhar card number

(c) Pan card number

(d) Passenger Name Reservation (PNR) number

(e) Stopwatch time (in seconds)

**Answer: (a), (e)**

A numerical data must have units. There is no unit for Aadhar card number, PAN Card number and PNR, hence it is not numerical variable.

9. Which of the following variables have nominal scale of measurement?

(a) Shirt size (XS, S, M, L, XL, and XXL)

(b) Aadhar card number

(c) PAN card number

(d) Passenger Name Reservation (PNR) number

(e) Names of the vegetables

**Answer: (b), (c), (d), (e)**

Shirt size is ordinal scale of measurement.

10. Choose the correct statement(s) from the following.

(a) Revenue generated by India from 10 different countries through tea exports in year 2010 is a cross-sectional data.

(b) Revenue generated by India from

(c) Revenue generated by India during the period 2000-2010 is a time-series data.

(d) Revenue generated by India during the period 2000-2010 is a cross-sectional data.

**Answer: (a), (c)**

(a) Data is collected in the same year; hence it is cross-sectional data.

(c) data is collected over a period of time; hence it is time-series data.

In a supermarket, the bill for each customer is given in an ordered tabular form. The bill for the customer Pavithra, dated on 1 Mar 2021, is given in Table. Assume cost per unit is a continuous numerical variable. Also, assume that all items are as packs. Total cost is calculated using the following formula.

Total cost = Cost per unit × Units. Based on this information and data given in Table answer the questions 11and 12.

S. No |
Item name |
Category |
Brand |
Cost per unit |
Units |
Total cost |

1 |
Cadbury Dairy Milk Silk |
Snacks |
Cadbury |
100 |
1 |
100 |

2 |
Lays American |
Sacks |
Cadbury |
50 |
2 |
100 |

3 |
Cello Fine Grip |
Stationery |
Lays |
55 |
4 |
22 |

4 |
Classmate Long Notebook |
Stationery |
Cello |
30 |
4 |
120 |

5 |
Shimla Apples |
Fruits |
Classmate |
40 |
5 |
200 |

6 |
Basmati Rice 1kg |
Grains |
Dawit |
60 |
2 |
120 |

11. Which of the following variables given in Table have ratio scale of measurement?

(a) Cost per unit

(b) Total cost

(c) Units

(d) Brand

**Answer: (a), (b). (c)**

Variables to have ratio scale of measurement; the ratio must have the meaning and the arithmetic operation can be performed on variables.

12.Which of the following statements is/are true about the data given in Table?

(a) Cadbury Diary Milk Silk, Cello Fine Grip, and Shimla Apples are cases/observations

(b) Cost per unit, Units, and Total cost are continuous numerical variables.

(c) Cost per unit and Total cost are continuous numerical variables.

(d) Cost per unit and Units are continuous numerical variables

(e) The given data in Table is a time-series data.

(f) The given data in Table is a cross-sectional data.

**Answer: (a), (c), (f)**

Number of units are discreate variable.