Measures of Central Tendency - Online Test
Q1. The median of an ordered set of data is the value that represents
Answer : Option D
Explaination / Solution:
The median can be easily computed by sorting the data from smallest to largest and counting the middle value.
Q2. Measures of central tendency are
Answer : Option A
Explaination / Solution:
Inferential statistics allows us to draw conclusions from data that identify the best single value for representing a set of data.
Q3. Which of the following is not a characteristic of the mean?
Answer : Option C
Explaination / Solution:
Mean commonly used measure of central tendency not a number that tells the position of something in a list.
Q4. The ______________ is that value obtained by summing all elements in a set and dividing by the number of elements.
Answer : Option C
Explaination / Solution:
Mean is defined as the sum of the values of all observations divided by the number of observations.
Q5. According to the text, which of the following represents the highest peak of the distribution?
Answer : Option C
Explaination / Solution:
The mode is the most frequent score in our data set. It represents the highest peak of the distribution.
Q6. A measure of central tendency, given as the value above which half of the values fall and below which half of the values fall is called the ______________.
Answer : Option C
Explaination / Solution:
Median is that positional value of the variable which divides the distribution into two equal parts, one part comprises all values greater than or equal to the median value and the other comprises all values less than or equal to it.
Q7. The ______________ of a sample is the middle value when the data are arranged in ascending or descending rank order.
Answer : Option C
Explaination / Solution:
The Median is the “middle” element when the data set is arranged either ascending or descending.
Q8. If the distribution is asymmetric and the variable is measured on a nominal scale, the ______________ should be used as a measure of location.
Answer : Option D
Explaination / Solution:
In an asymmetrical distribution the two sides will not be mirror images of each other. The values to be more frequent around the high or low ends.
Q9. The ______________ should be used as a measure of location if the distribution is asymmetric and the variable is measured on an ordinal scale.
Answer : Option C
Explaination / Solution:
If the data is quantitative in nature (ordinal or interval/ratio) then the median, can be used to describe the data. Therefore, in skewed distributions, the median will tend to be the more accurate measure to represent the data than the mean because the median can never have more than one half the
Q10. If the distribution is asymmetric, which measure of location is most appropriate if the data is in a nominal scale? If it is in an ordinal scale? If it is in an interval or ratio scale?
Answer : Option B
Explaination / Solution:
A situation in which the values of variables occur at irregular frequencies and the mean, median and mode occur at different points. An asymmetric distribution is said to exhibit skewness. In contrast, a symmetric or normal distribution, when depicted on a graph, is shaped like a bell curve and the two sides of the graph are symmetrical.
