Basic Statistics 2

Types of central tendency, EXCEPT

• mean

• median

• mode

• standard deviation

What is the most frequently occurring value in a data set?

• mean

• median

• mode

• standard deviation

Which measure of central tendency is affected by extreme values?

• mean

• median

• mode

• standard deviation

These answers measure dispersion

• variance

• range

• standard deviation

• gaussian distribution

If the data distribution positively skewed, it indicates that the

• mean> median > mode

• mode > median > mean

• mean= median = mode

To know the z-score, we only need to know the mean of each variable.

• True

• False

The data shows the z-score of employment years and the z-score of income. If the individual value is negative, it indicates that the value of the individual case is below the mean.

• True

• False

Answer explanation

The Z-score provides information about how "normal" or "exceptional" a value is within the context of the data distribution. If the Z-score is positive, it indicates that the value is above the mean, whereas if the Z-score is negative, it signifies that the value is below the mean. The larger the absolute value of the Z-score, the farther the individual value is from the mean.

Please see in case 2, it says that the z score for employment is 2.513. This shows that the distance between the individual values and the mean is 2.513 units of VARIANCE.

• True

• False

Let's consider a scenario where we have data on the heights of students in a university from the previous year, and we want to test whether the average height of students in the university this year is different from the known national average. What is the appropriate statistical analysis technique?

• One sample z-test

• One sample z-score

• One sample t-test

In statistics, when we only have sample data and want to make predictions or generalize to a larger population, we can use statistical inference techniques. Important indicators for predicting what happens to the population when we only have sample-level data are knowledge of the standard deviation and the number of participants in our research.

• True

• False