Question

1.A manufacturing manager has developed a table that shows the average production volume each day for the past three weeks. The average production level is an example of a numerical measure.

Select one:

True

False

2.A pharmaceutical company conducts a study where 50 patients are given a drug. They find that 10 percent of patients experience nausea as a side effect. This 10 percent is an example of a parameter.

Select one:

True

False

3.If a population is very large, it may be better to select a sample from the population than to try to obtain a census in an effort to reduce measurement error.

Select one:

True

False

4. If a scatter diagram shows points that are reasonably aligned and are sloping downward from left to right, this implies that there is a negative linear relationship between the two variables.

Select one:

True

False

5. Which of the following is NOT true of a bar chart?

Select one:

a. It is used for numerical data.

b. It can show either frequency or relative frequency.

c. It is used for categorical data.

d. The bars can be either horizontal or vertical.

Answer 1

(1) Numerical data are quantitative data, that deal with mathematical numbers on which mathematical operations like, addition , subtraction etc can be done. There are 2 types of quantitative data continuous (decimal values are allowed) and discrete (only integers are allowed).

The above statement is True as average is a continuous data.

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(2) A parameter is a value which describes the population, and a statistic is a value which describes the sample. Therefore the data given is descriptive of the sample and not the population, hence it is not a parameter.

The statement is False.

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(3) The Statement is True. If a Census is taken, then each and every person has to be contacted and surveyed. This can cause problems like bias, contactibility issues, huge costs and data collection. Hence it would be better to take a sample large enough with a desired margin of error and conduct the experiment.

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(4) The Statement is True.

A negative linear relationship occurs when the slope of the line, shows a downward trend from left to right. Similarly, if the points are aligned that the line goes upwards, then a positive linear exists between the variable. The strength of the relationship, is given by coefficient of correlation, r, which ranges from -1 to +1.

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(5) Bar Charts are graphical representation of categorical data. It shows frequency or relative frequency and can be either horizontal or vertical. It is not used for numerical data. Representation of numerical data is done by histograms and dot plots and scatter plots.

Therefore Option a is not correct: It is used for numerical data.

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