Descriptive Statistics Flashcards

1
Q

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.

A

measure of central tendency

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

The most common average

A

arithmetic mean

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

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

A

arithmetic mean

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

arithmetic mean is denoted by what greek letter for population

A

mu (ΞΌ)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

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

A

π‘₯Μ…=(βˆ‘1(𝑖=1)^𝑛 π‘₯𝑖 )/𝑛

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

The positional middle of an array

A

median

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

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

A

medianmed

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

median formula if odd

A

πœ‡π‘‘=𝑋(((𝑁+1))/2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

median formula if even

A

πœ‡π‘‘=(𝑋𝑁/2)+𝑋(𝑁/2+1))/2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

It is the observed value that occurs most frequently.

A

mode

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

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

A

mode

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

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

A

mode

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

if there is only one mode

A

unimodal

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

if there are two modes

A

bimodal

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

if there are three mode

A

trimodal

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

It is not affected by extreme values.

A

mode

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

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

A

mode

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

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.

A

measures of location or fractiles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

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

A

percentiles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

percentile formula

A

𝑃𝑖=π‘‘β„Žπ‘’ π‘£π‘Žπ‘™π‘’π‘’ π‘œπ‘“ π‘‘β„Žπ‘’ ((𝑖(𝑛+1))/100)^π‘‘β„Ž π‘œπ‘π‘ π‘’π‘Ÿπ‘£π‘Žπ‘‘π‘–π‘œπ‘› 𝑖𝑛 π‘‘β„Žπ‘’ π‘Žπ‘Ÿπ‘Ÿπ‘Žπ‘¦

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

are values that divide the array into 10 equal parts

A

deciles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

are values that divide the array into 4 equal parts.

A

quartiles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

decile formula

A

(𝑖(𝑛+1)/10)^π‘‘β„Ž

24
Q

quartile formula

A

(𝑖(𝑛+1)/4)^π‘‘β„Ž

25
Q

practice finding the percentile, quartile, decile

A

+1

26
Q

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

A

nominal

27
Q

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

t/f

A

false

28
Q

a study found that eating garlic has a 15% chance of lowering blood pressure

descriptive or inferential?

A

inferential

29
Q

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

t/f

A

false

30
Q

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?

A

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

31
Q

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

A

12

32
Q

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

inferential or descriptives?

A

descriptives

33
Q

Identify the type of variable given: Type of vehicle owned

A

qualitative

34
Q

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

A

ratio

35
Q

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

A

quantitative discrete

36
Q

Identify the type of variable given: Electricity consumption in watts

A

quantitative continuous

37
Q

Identify the type of variable given: Weight of paper usage

A

quantitative continuous

38
Q

25, 30, 18, 18, 27, 15, 15, 30?

how many modes

A

trimodal

39
Q

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

A

Extreme values in the data set tend to affect the mean

40
Q

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

A

ratio

41
Q

Data taken by a researcher from news articles is primary

t/f

A

false

42
Q

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

A

This is an example of descriptive statistics, since β€œ12 times per minute” is a result of collected survey data

43
Q

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

A

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

44
Q

Identify the level of measurement given: television show ratings in the Philippines (General Patronage β€œG”, Parental Guidance β€œPG” and Strong Parental Guidance β€œSPG”)

A

Ordinal

45
Q

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?

A

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

46
Q

Identify the type of variable given: transportation costs

A

Quantitative Continuous/Descriptive

47
Q

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

I/D?

A

inferential statistics

48
Q

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

A

sample statistic

49
Q

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

T/F

A

true

50
Q

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

A

Interval

51
Q

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

T/F

A

False

52
Q

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?

A

descriptive statistics

53
Q

what graph is used for interval and frequency (2)

A

bar
pie

54
Q

what graph is used to compare TCB and frequency

A

Histogram

55
Q

what graph is used to compare class mark and %

A

frequency polygon

56
Q

what graph is used to compare <CF>CF vs LTCB</CF>

A

ogives