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Test: Use of Statistical Tools- Assertion & Reason Type Questions - Commerce MCQ


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15 Questions MCQ Test - Test: Use of Statistical Tools- Assertion & Reason Type Questions

Test: Use of Statistical Tools- Assertion & Reason Type Questions for Commerce 2024 is part of Commerce preparation. The Test: Use of Statistical Tools- Assertion & Reason Type Questions questions and answers have been prepared according to the Commerce exam syllabus.The Test: Use of Statistical Tools- Assertion & Reason Type Questions MCQs are made for Commerce 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Use of Statistical Tools- Assertion & Reason Type Questions below.
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Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 1

Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:

Assertion (A): For calculating Arithmetic mean, when Cumulative frequencies are given, the frequencies are to be found for the given series or variables.

Reason (R): Cumulative frequencies are calculated by adding the frequencies.

Detailed Solution for Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 1
The arithmetic mean of the following observation 4, 8, 12, 16, is 10. 3. Cumulative frequency is needed while finding the median of the distribution. In case of calculation of median after arranging the data in ascending or descending order, the cumulative frequencies are calculated.
Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 2

Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:

Assertion (A): Arithmetic mean is affected by the extreme values.

Reason (R): All the values are considered while calculating the mean and so if there are more big values or small values it will affect the calculation of the mean.

Detailed Solution for Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 2
Arithmetic mean refers to the average amount in a given group of data. It is defined as the summation of all the observation in the data which is divided by the number of observations in the data. Therefore, mean is affected by the extreme values because it includes all the data in a series.
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Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 3

Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:

Assertion (A): Combined mean is calculated by multiplying the means with their respective frequencies total and then added and divided by the total number of items.

Reason (R): In weighted mean, the weights are assigned to the respective items in the series and then the mean is calculated.

Detailed Solution for Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 3
A combined mean is a mean of two or more separate groups, and is found by : Calculating the mean of each group, Combining the results.
Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 4

Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:

Assertion (A): Fisher ’s Index Number is considered the most ideal index.

Reason (R): Ideal index number is the best way of calculating index number.

Detailed Solution for Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 4
Fisher's index lies between the other two indexes. It is referred to as an “ideal” index because it correctly predicts the expenditure index and it satisfies both the time reversal test as well as factor reversal test.
Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 5

Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:

Assertion (A): The Index Number shows the change in the relative price from the base year.

Reason (R): Index number is calculated as a ratio of current price with the base price.

Detailed Solution for Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 5
Index number in statistics is the measurement of change in a variable or variables across a determined period. It will show general relative change and not a directly measurable figure. An index number is expressed in percentage form.
Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 6

Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:

Assertion (A): Index number and Mean are one and the same thing.

Reason (R): Mean is the central value of the items present in the series.

Detailed Solution for Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 6
An index number is the measure of change in a variable (or group of variables) over time. Index numbers are one of the most used statistical tools in economics. Index numbers are not directly measurable, but represent general, relative changes. They are typically expressed as percents. Whereas, Mean is the central value of the items present in the series
Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 7

Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:

Assertion (A): Rahim calculated the value of median to be 16 in the series, 5, 8, 15, 16, 25, 45, 80. He used the formula of odd numbers in this case.

Reason (R): Median for odd series is calculated by the formula (n+1/2)th term.

Detailed Solution for Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 7
We know that the formula for the median if the number of observations in a data set is odd is, Median= [(n + 1) / 2]th where, n = number of odd observations.
Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 8

Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:

Assertion (A): While calculating Median of the series, the terms need to be arranged in either ascending order or descending order.

Reason (R): In median, the central term is to be found which divides the series into two equal parts.

Detailed Solution for Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 8
Median is a value which divides the series into two equal parts. It is position which is exactly in the centre, equal number of terms lie on either side of it, when terms are arranged in ascending or descending order.
Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 9

Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:

Assertion (A): Median is a positional average.

Reason (R): Median is the centre most item in a series arranged in either ascending order or descending order.

Detailed Solution for Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 9
The Median is also known as a positional average. It means that when the data are arranged, median is the middle value if the number of values is odd and the mean of the two middle values, if the numbers of values is even.
Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 10

Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:

Assertion (A): Scatter Diagram method is a graphic expression of the degree and direction or absence of correlation.

Reason (R): Scatter Diagram method fails to produce definite trend.

Detailed Solution for Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 10
Scatter diagram offers a graphic expression of the direction and degree of correlation. To construct a scatter diagram, x variables taken on X-axis and y variable is taken on Y-axis. It gives a precise numerical value of the degree of linear relationship between two variables.
Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 11

Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:

Assertion (A): When correlation coefficient (r) is between +0.75 and +1, high degree of positive correlation and when it is between –0.75 to –1 high degree of negative correlation.

Reason (R): The value of correlation lies between + 1 and – 1.

Detailed Solution for Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 11
A correlation coefficient of +1 indicates a perfect positive correlation. As variable x increases, variable y increases. As variable x decreases, variable y decreases. A correlation coefficient of -1 indicates a perfect negative correlation.
Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 12

Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:

Assertion (A): Less than or more than ogive can be used to calculate correlation.

Reason (R): When changes in two related variables are in the same ratio, then it is a case of perfect correlation.

Detailed Solution for Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 12
If the ratio of change between two variable is not constant i.e. change in one variable leads to a change in another variable but by different amount or when all the points in the scatter diagram tends to lie around a smooth curve.
Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 13

Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:

Assertion (A): Mode is affected by the extreme values.

Reason (R): In mode, total cannot be obtained.

Detailed Solution for Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 13
The mode is not affected by extreme values. The mode is easy to identify in a data set and in a discrete frequency distribution. The mode is useful for qualitative data.
Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 14

Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:

Assertion (A): Mode of a series 2, 4, 2, 5, 6, 2, 3, 8, 9, 2, 5, 10 is 2.

Reason (R): Mode of a set of observation is that value which occurs the greatest number of times, i.e., with the highest frequency in a series.

Detailed Solution for Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 14
The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode.
Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 15

Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:

Assertion (A): Mode is dependent on frequencies.

Reason (R): Mode has very less effect of marginal units.

Detailed Solution for Test: Use of Statistical Tools- Assertion & Reason Type Questions - Question 15
The mode is easy to understand and calculate. The mode is not affected by extreme values. The mode is easy to identify in a data set and in a discrete frequency distribution. The mode is useful for qualitative data. The mode can be computed in an open-ended frequency table.
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