Measures of central Tendency

Question 1

The data value located exactly at the centermost position when the data set is arranged in order

Answer 1

Median

Question 2

the most frequently occurring data value.

a) If all the elements in the data set have the same frequency of occurrence, then the data set is said to have no mode.

b) If the data set has one value that occurs more frequently than the rest of the values, then the data set is said to be unimocial.

c) If two elements of the data set are tied for the highest frequency of occurrence, then the data set is said to be bimodal.

Answer 2

MODE

Question 3

largest value - smallest value

IQR: measures the spread of the middle 50% of an ordered data set.

If you observe the figure, the shaded part of the distribution represents the middie 50% of the distribution.

Answer 3

RANGE & INTERQUARTILE RANGE

Question 4

a way to measure how far a set of numbers is spread out.

Answer 4

VARIANCE

Question 5

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A low standard deviation means that most of the numbers are close to the average. A high standard deviation means that the numbers are more spread out

Answer 5

STANDARD DEVIATION

Question 6

In terms of function, the variance and the standard deviation serves the same goal. But for interpretation reasons, It is harder to interpret the variance since its measure is identified in square units unlike the standard deviation which makes more sense when we interpret the variability of the distribution.

Answer 6

VARIANCE VS. STANDARD DEVIATION

Question 7

The ___ describes that Approximately 68%, 95%, and “almost all” of the measurements are within one, two, and three standard deviations of the mean, respectively.

But take note that is rule only applies to bell-shaped

Answer 7

Empirical Rule

Question 8

describes that or 75% of the data lie within 2 standard deviations from the mean while 88.89% lie within 3 standard deviations from

Answer 8

Chebyshev’s theorem