Types Of Central Tendency, Merits And Demerits And Simple Application: - SS1 Economics Past Questions and Answers - page 1
Which measure of central tendency is sensitive to extreme values?
Mean
Median
Mode
None of the above
Which measure of central tendency is not affected by extreme values?
Mean
Median
Mode
b and c
How is the median calculated?
By summing all values and dividing by the number of observations
By taking the most frequent value in the data
By arranging the data in order and taking the middle value
By determining the width of each class in the frequency distribution
Which of the following is a merit of the median?
It is affected by outliers or extreme values in the dataset.
It can be used with both quantitative and qualitative data.
It may not represent the true centre of the data if there are only a few data points in the dataset.
It can be difficult to calculate for datasets with a large number of values.
Which of the following is a demerit of the mode?
It is not affected by outliers or extreme values in the dataset.
It may not exist or may be non-unique if no value appears more than once in the dataset.
It may not represent the true centre of the data if there are only a few data points in the dataset.
It can be difficult to calculate for datasets with a large number of values.
A school has 10 students in a class. The teacher recorded the marks of each student in a math test. The marks are 75, 80, 85, 70, 90, 95, 65, 80, 75, and 85. What is the mean of the marks obtained by the students on the test?
To find the mean of the marks obtained by the students in the test, we add up all the marks and divide by the total number of students:
(75 + 80 + 85 + 70 + 90 + 95 + 65 + 80 + 75 + 85) / 10 = 80
Therefore, the mean of the marks obtained by the students in the test is 80.
The time (in minutes) taken by 8 students to complete a test are 45, 60, 50, 55, 70, 75, 80, and 65. What is the median time taken to complete the test?
To find the median time taken to complete the test, we first need to arrange the times in ascending order:
45, 50, 55, 60, 65, 70, 75, 80.
Since there are an even number of times, the median is the average of the two middle values. In this case, the two middle values are 65 and 70. Therefore, the median time taken to complete the test is (65 + 70) / 2 = 67.5 minutes
The following numbers represent the scores obtained by 9 students in a test: 65, 70, 75, 75, 70, 80, 65, 80, 85. What is the mode of the scores?
To find the mode of the scores obtained by the students, we need to find the score that appears most frequently. In this case, both 70 and 75 appear twice, which is more than any other score. Therefore, the mode of scores is 70 and 75.