Descriptive Statistics

Question 1

is one of the ways to numerically describe gathered information. Perhaps we can consider part of the articles below for us to learn more about some of the many uses of MCT. The given examples illustrate how can we apply concepts of measure of central tendency specifically the mean and the mode.

Answer 1

measure of central tendency

Question 2

The most common average

Answer 2

arithmetic mean

Question 3

The sum of all the values of the observations divided by the number of observations

Answer 3

arithmetic mean

Question 4

arithmetic mean is denoted by what greek letter for population

Answer 4

mu (μ)

Question 5

the sample mean, used to estimate the population mean μ, is computed as:

Answer 5

𝑥̅=(∑1(𝑖=1)^𝑛 𝑥𝑖 )/𝑛

Question 6

The positional middle of an array

Answer 6

median

Question 7

In an array, one-half of the values precede the median and one-half follow it

Answer 7

medianmed

Question 8

median formula if odd

Answer 8

𝜇𝑑=𝑋(((𝑁+1))/2

Question 9

median formula if even

Answer 9

𝜇𝑑=(𝑋𝑁/2)+𝑋(𝑁/2+1))/2

Question 10

It is the observed value that occurs most frequently.

Answer 10

mode

Question 11

It locates the point where the observation values occur with the greatest density.

Answer 11

mode

Question 12

It does not always exist, and if it does, it may not be unique

Answer 12

mode

Question 13

if there is only one mode

Answer 13

unimodal

Question 14

if there are two modes

Answer 14

bimodal

Question 15

if there are three mode

Answer 15

trimodal

Question 16

It is not affected by extreme values.

Answer 16

mode

Question 17

It can be used for qualitative as well as quantitative data.

Answer 17

mode

Question 18

are values below which a specified fraction or percentage of the observations in a given set must fall. Some board exam results are based on this, specifically percentile. Let’s say a board passer has a percentile rating of 93%, it doesn’t mean that he was able to get 93% of the correct answer. This just indicate that his score in the board exam is above the score of 93% of all board examinees.

Answer 18

measures of location or fractiles

Question 19

are values that divide a set of observations in an array into 100 equal parts.

Answer 19

percentiles

Question 20

percentile formula

Answer 20

𝑃𝑖=𝑡ℎ𝑒 𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 𝑡ℎ𝑒 ((𝑖(𝑛+1))/100)^𝑡ℎ 𝑜𝑏𝑠𝑒𝑟𝑣𝑎𝑡𝑖𝑜𝑛 𝑖𝑛 𝑡ℎ𝑒 𝑎𝑟𝑟𝑎𝑦

Question 21

are values that divide the array into 10 equal parts

Answer 21

deciles

Question 22

are values that divide the array into 4 equal parts.

Answer 22

quartiles

Question 23

decile formula

Answer 23

(𝑖(𝑛+1)/10)^𝑡ℎ

Question 24

quartile formula

Answer 24

(𝑖(𝑛+1)/4)^𝑡ℎ

Question 25

practice finding the percentile, quartile, decile

Answer 25

+1

Question 26

identify the level of measurement given: Color of M&Ms preferred by children 5-8 years old

Answer 26

nominal

Question 27

the level of measurement which measures only identity and magnitude is called nominal t/f

Answer 27

false

Question 28

a study found that eating garlic has a 15% chance of lowering blood pressure descriptive or inferential?

Answer 28

inferential

Question 29

in the interval level of measurement, a true absolute zero exists t/f

Answer 29

false

Question 30

A quality inspector took a sample of 40 bolts from a large shipment and measures the length of each. He finds that 34 of them, or 85%, meet the length specification. What does it mean?

Answer 30

Proportion of the good bolts in the shipment is likely to be close to 85%.

Question 31

Find the value of x that will make the mean equal to 12: 12, 7, 18, 15, 11,9, x.

Answer 31

12

Question 32

Sixty-two of last year's high school graduates in public and private schools are now enrolled in college or university. inferential or descriptives?

Answer 32

descriptives

Question 33

Identify the type of variable given: Type of vehicle owned

Answer 33

qualitative

Question 34

Identify the level of measurement given: Price of gasoline within Cavite

Answer 34

ratio

Question 35

Identify the type of variable given: Quantity of electronic equipment bought

Answer 35

quantitative discrete

Question 36

Identify the type of variable given: Electricity consumption in watts

Answer 36

quantitative continuous

Question 37

Identify the type of variable given: Weight of paper usage

Answer 37

quantitative continuous

Question 38

25, 30, 18, 18, 27, 15, 15, 30? how many modes

Answer 38

trimodal

Question 39

Which of the following is true for the mean of a data set? It is a positional value in an arranged data set Data set may have more than one mean The mean can be used for both qualitative and quantitative data sets Extreme values in the data set tend to affect the mean

Answer 39

Extreme values in the data set tend to affect the mean

Question 40

Identify the level of measurement given: number of household members of residents in Dasmarinas

Answer 40

ratio

Question 41

Data taken by a researcher from news articles is primary t/f

Answer 41

false

Question 42

Which of the following statement would best describe the study “A survey of 1,000 people reveals that they belink their eyes 12 times per minute on average”

Answer 42

This is an example of descriptive statistics, since “12 times per minute” is a result of collected survey data

Question 43

According to the Philippine Statistics Authority, the growing number of Cavite inhabitants may be attributed to rapid birth rate and migration spillover from Metro Manila Residents. Given the annual population growth, the figure could reach 4,822,580 in 2020

Answer 43

This is an example of inferential statistics, since 4,822,580 is a prediction

Question 44

Identify the level of measurement given: television show ratings in the Philippines (General Patronage “G”, Parental Guidance “PG” and Strong Parental Guidance “SPG”)

Answer 44

Ordinal

Question 45

An applied mathematics student wanted to create a linear programming model to minimize the carbon footprint left in the atmosphere by the college students and faculty in DLSU-D. To do this, the student had to gather information on electricity consumption in watts, transportation costs, weight of paper usage, type of vehicle owned and quantity of electronic equipment bought. What is the population of the study?

Answer 45

The set of all college students and faculty in DLSU-D

Question 46

Identify the type of variable given: transportation costs

Answer 46

Quantitative Continuous/Descriptive

Question 47

Due to impeding excise tax imposition, it is predicted that there will be decrease of automobiles next year I/D?

Answer 47

inferential statistics

Question 48

A numerical value used as a summary measure for a sample, such as sample mean, is known as what?

Answer 48

sample statistic

Question 49

Inferential statistics deals with making generalizations about a body of data where only a part of it is examined T/F

Answer 49

true

Question 50

Identify the level of measurement given: Exact time of arrival of domestic flights at NAIA terminal 3 (as reflected on clock)

Answer 50

Interval

Question 51

Time to finish this long quiz is an example of discrete variable. T/F

Answer 51

False

Question 52

As of the 2015 census, Cavite was found the most populous with 3.68 million people, followed by Bulacan at 3.29 million, Laguna with 3.04 million and there were 24 other provinces that surpassed the one million population mark. D/I?

Answer 52

descriptive statistics

Question 53

what graph is used for interval and frequency (2)

Answer 53

bar pie

Question 54

what graph is used to compare TCB and frequency

Answer 54

Histogram

Question 55

what graph is used to compare class mark and %

Answer 55

frequency polygon

Question 56

what graph is used to compare CF vs LTCB

Answer 56

ogives