Statistics 1 - 02 - Measure of Central Tendency & Dispersion

Which measure of central tendency is most affected by extreme values?

• Mean

• Median

• Mode

• Variance

• Standard Deviation

Categorized

Groups:

(a) Central Tendency

,

(b) Measure of Dispersion

• Median

• Percentile

• Gemoteric Mean

• Standard Deviation

• Coefficient of Variation

• Mean

• Mode

• Variance

• Range

What is Range?

• The difference between the highest and lowest values in a dataset

• The square root of the variance

• The average of the squared differences from the mean

• The average value of dataset

• The middle value of a dataset

True / False

The coefficient of quartile variation is less affected by outliers compared to the standard deviation

• True

• False

We have the data of salary (in Rp million)

3, 4, 5, 7, 6.5, 4, 7.6, 32, 4.2, 3.1, 3.5, 6, 5.5, 4, 4, 4.5, 6, 6.4, 6.9, 4

What measurement we should use to determine the central value of the data?

• Mean

• Median

• Mode

• Standard deviation

What measurement should we used if we want to compare the consistency of several datasets?

• Standard Score (Z)

• Coefficient of Variation (CV)

• Standard deviation (Stdev)

• Mean (average)

We have datasets of production quantity in 3 factory branch. The average production quantity for each factory is as follows:

- Factory A : 500 units/day

- Factory B : 425 units/day

- Factory C : 300 units/day

Which factory has the less spread of the production quantity?

• Factory A

• Factory B

• Factory C

• Can't be decided

Ana is salesperson in Java. Ikram is salesperson in Sumatera. Yuyud is salesperson in Sulawesi. The HQ want to give reward for the best salesperson based on sales value. Who will be rewarded?

The value of CV for each of them:

CV in Java : 19.65

CV in Sumatera : 17.78

CV in Sulawesi : 22.12

• Ana

• Ikram

• Yuyud

• Can't be decided

Ana is salesperson in Java. Ikram is salesperson in Sumatera. Yuyud is salesperson in Sulawesi. The HQ want to give reward for the best salesperson based on sales value. Who will be rewarded?

The value of Z for each of them:

Z value Ana : 1.65

Z value Ikram : 1.87

Z value Yuyud : 1.66

• Ana

• Ikram

• Yuyud

• Can't be decided

A business have using several social media for their sales & marketing strategy. The owner want to know which social media give them the most consistent traffic. Here is the value of the average viewer and Coefficient of Variation (CV).

Instagram : avg = 500/day ; CV = 12.43

TikTok : avg = 1000/day ; CV = 14.32

X : avg = 550/day ; CV = 13.44

• Instagram because it has the lowest CV value

• TikTok because it has the highest average view per day

• TikTok because it has the highest CV value

• Instagram because it has the lowest average view per day