Practice Set 1
1) The education minister wants to know the status of campus placements of B.Tech students in different engineering institutes of India. An analyst did a survey on the randomly selected four IITs of India and analysed the status of campus placements. Based on the information given, answer the questions (1), (2) and (3).
Identify the sample and population.
(a) The sample consists of all the engineering institutes of India and the population consists of randomly selected four IITs of India.
(b) The sample consists of all the IITs of India and the population consists of all the engineering institutes of India.
(c) The sample consists of all IITs of India and the population consists of randomly selected four IITs of India.
(d) The sample consists of four randomly selected IITs of India and the population consists of all the engineering institutes of India.
Answer: (d)
Here, The sample consists of four randomly selected IITs of India and the population consists of all the engineering institutes of India.
Note: The sample is a subset of the population. and the population is the collection of all the elements we are interested in.
2) The report given by an analyst to the education minister about the status of campus placements states that “The campus placement of B. Tech students is 95% in different engineering institutes of India”. The given statement of analyst is based on which kind of statistical analysis?
(a) Descriptive Statistics
(b) Inferential Statistics
Answer: (b)
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.
3) Is the conclusion of this study made by analyst on the basis of chosen sample reliable?
(a) Yes
(b) No
Answer: (b)
For sample to be reliable, the sample should be randolmy selected from the population, but here sample consists from only 4 IITs not other colleges.
The data of five different types of fertilizers used by farmers of a village is tabulated in Table 1.1.G. Based on the information given, answer the questions (4), (5), (6), (7) and (8).
4) Which of the following statements is/are true?
(a) Inorganic is a case and Types of Fertilizers is a variable.
(b) Rice is a case.
(c) Manure is a case.
(d) Amount of fertilizers is a variable.
(e) Nitrogen is a variable.
Answer: (c), (d)
since data is collected for different typed of fertilizer, hence fertilizers are cases.
5) What is the scale of measurement of “Types of Crops”?
(a) Ordinal Scale
(b) Nominal Scale
(c) Interval Scale
(d) Ratio Scale
Answer: (b)
6) What kind of variable is “Area of fields”?(More than one option can be correct)
(a) Categorical
(b) Numerical
(c) Discrete
(d) Continuous
Answer: (b), (d)
Area is continous numerical variable.
7) What is the scale of measurement of “Amount of Fertilizers”?
(a) Ordinal Scale
(b) Nominal Scale
(c) Interval Scale
(d) Ratio Scale
Answer: (d)
8) Is the data given in Table 1.1.G structured or unstructured?
(a) The data is structured
(b) The data is unstructured
Answer: (a)
9) The data of Netflix subscribers at the end of year 2020 across different Asian countries is recorded. Based on this, choose the correct option:
(a) It is time series data
(b) It is cross-sectional data
Answer: (b)
if the data is collected over a period of time(ie time is variable), then it is time-series data.
if it is collected at a particular time, then it is cross-sectional data.
10) Choose the incorrect statement(s):
(a) Stock price of Titan is numeric and continuous variable.
(b) Number of assignments submitted by a student has an interval scale of measurement.
(c) Soccer positions (i.e. Defender, Midfielder, Forward) has an ordinal scale of measurement.
(d) The education level of a person has a nominal scale of measurement.
Answer: (a), (d)
Stock price can not be continous because stock price can not take more than 3 decimal value.
Number of assignment submitted by student can not have negative value, hence it can not be interval scale of mesurement.
Soccer positions may have ordinal scale of measurement, it depend on context
Education level can be ordered.