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1
discreet or ungrouped data is the kind of data that is not organized
discreet or ungrouped data e raya gore data e e sa phuthiwang ka lenaneo le le rileng
2
you must ensure that you can identify the maximum and minimum values in your data
you must ensure that you can identify palo e e fetang tse tsotlhe le palo e e nnye mo go tsona tse tsotlhe in your data
3
the median is found in between the maximum and minimum values in your data
the median is found mo gare ga the maximum and minimum values in your data
4
to find the average or the mean in the ungrouped data you have to sum all the values and divide them by the total number of the x values
to find the average in the ungrouped data o tshwanetse go tlhakanya the x values in your data e be o di aroganya ka the total number of x values
5
to find the range of your data you must subtract the minimum value from the maximum value
to find the range of your data o tshwanetse ke go ntsha the minimum value from the maximum value
6
mode refers to the number that appears the most often in your data
mode refers to the number e e ipoeletsang go feta tse dingwe in your data
7
if there is an odd number of numbers then the median is included in the data
if there is an odd number of numbers then the median e teng in the data.
8
Recall that odd numbers cannot be completely divided by two
Recall that odd numbers ke dipalo tse o ka se di kgaoganyeng ka two go sa sale sepe
9
if there is an even number of numbers then the median is excluded in the data
if there is an even number of numbers then the median gaeyo in the data
10
Recall that even numbers can be divided by two with a zero remainder
Recall that even numbers can be divided by two e sa tlogele remainder
11
if you are given data in a question you must first check if it was arranged in ascending order from the smallest to the biggest.
if you are given data in a question you must first check if it was arranged in ascending order from e e nnye to e e tona go feta tse dingwe
12
given data identify the minimum and maximum values in the data
given data batla the minimum and maximum values in the data
13
if you divide data that is in increasing order into four equal parts the value found under the first quarter of the data is known as the lower quartile
ga o ka kgaoganya data gane go lekana the value found under the first quarter of the data is known as the lower quartile
14
to get the inter quartile range we subtract the lower quartile from the upper quartile
o tshwanetse go ntsha lower quartile range from the upper quartile range ga o batla the inter quartile range
15
the five number summary is given by five numbers
the five number summary ya itlhalosa ke di number tse tlhano
16
make sure that you use an equal scale while drawing your number line otherwise you will not be able to correctly determine the skewness of your box and whisker diagram
make sure that scale se a lekana while drawing your number line otherwise ga o bona gore box and whisker diagram ya gago e sekametse kae.
17
recall that the mean is always in the middle of the box
the mean is always mogare ga box
18
if the median is less than the mean the data inside the box and whisker diagram is positively skewed
the data inside the box and whisker diagram is positively skewed ga e le gore median e nnyane mo mean
19
if the median is greater than the mean the data inside the box and whisker diagram is negatively skewed
the data inside the box and whisker diagram is negatively skewed ga e le gore median e feta mean
20
when the mean is equal to the median your box and whisker diagram is symmetrical
ga mean e lekana le median your box and whisker diagram is symmetrical
21
determine the skewness of the data means that you should find the relationship between the mean and the median
determine the skewness of the data e raya gore tshwanetse o batle relationship between the mean and the median
22
how is the data distributed explain
explain gore data e phatlhaladitswe yang describe whether it is positively or negatively skewed or is it symmetrical
23
trigonometry in two d is all about finding sides and angles using trig ratios
trigonometry in two d is all about go batla matlhakore le di angles using trig ratios
24
when we want to find the length of a side
when we want go bona botelle ba a side
25
hypotenuse is the longest side of a right angled triangle which is the side opposite the right angle
hypotenuse ke side e e telle go phala the rest mo right angled triangle e bile e lebagane le the right angle
26
the first step to solving trig ratio problems is to determine where the angle is located
step sa ntlha to solving trig ratio problems ke go tlhola gore angle e e batliwang e fo kae
27
as long as a triangle has a ninety degree angle it is a right angle triangle
as long as a triangle e nale ninety degree it is a right angle triangle
28
we want to get rid of this fraction
re batla go latlha this fraction
29
how to find the angle
angle re e bona yang
30
a trigonometry question will either be calculate the length or calculate an angle
potso ya trigonometry will either be batla the length of batla an angle
31
draw an arrow that is pointing towards ninety degrees
draw an arrow e e supang ninety degrees
32
when you find an angle they will give you two sides
when you find an angle ba tlo go fa matlhakore a mabedi
33
for sides they will give you one angle and one side
for matlhakore they will give you one angle le letlhakore le le one
34
which trigonometry ratio deals with opposite over adjacent
ke trigonmetry ratio e feng that deals with opposite over adjacent
35
the important thing is to choose the correct trigonometry ratio
se se botlhokwa ke go tlhopha the correct trigonometry ratio
36
recall that perpendicular lines are lines that intersect at a ninety degrees angle
recall that perpendicular lines are lines tse di kopanang ka angle ya ninety degrees
37
i must get the length of ab and the length of dd and add them to get the length of ac
i must get the length of ab and the length of dd e be ke di tlhakanya to get the length of ac
38
the statement says that the angle at a1 is equal to the angle at a2 is equal to the angle at a3
the statement says that the angle at a1 the angle at a2 and the angle at a3 di a lekana
39
lets persevere guys
a re itshokeng guys
40
write to impress
kwala to impress
41
which trig ratio deals with opposite over hypotenuse
ke trig ratio e feng that deals with opposite over hypotenuse
42
this is the angle we are going to use
ke yona angle e re tlileng go e dirisa
43
for us to get the length of ab we are forced to get the length of ad
gore re bone length ya ab re pateletshega to get the length of ad
44
what does the opposite side give us
opposite side e re fa bo kae
45
which trig ratio deals with adjacent over hypotenuse
ke trig ratio e feng that deals with adjacent over hypotenuse
46
guys round off your answers
guys round off dikarabo tsa lona
47
calculate the distance between two boats
calculate the distance between dikepe tse pedi
48
the two dimension questions are easy
dipotso tsa two dimension questions di bonolo
49
calculate the distance on the ground from b to the center of the base of the pyramid indicated at c
calculate the distance mo lefatsheng from b to the center of the base of the pyramid indicated at c
50
if you didnt start here then your answer is wrong
ga o sa simolola fa then your answer is wrong
51
which trig ratio deals with opposite over adjacent
ke trig ratio e feng that deals with opposite over adjacent
52
what does the adjacent side give us
adjacent side e re fa bo kae
53
that is our distance
distance ya rona ke eo
54
its important to know where you start
go botlhokwa to know where to start
55
if the line of sight is upward from the horizontal line then the angle formed is an angle of elevation
if the line of sight e kwa go dimo from the horizontal line then the angle formed is an angle of elevation
56
what is the angle of elevation using the calculator
angle of elevation ke bo kae fa o dirisa calculator
57
probability deals with outcomes that may or may not happen
probability deals with ditlamorago tse di ka diragalang kgotsa tse di ka se diragaleng
58
the probability that tomorrow is tuesday is zero
the probability that kamoso ke labobedi is zero
59
if its zero then it means its impossible
if its zero then it means ga go kgonagale
60
probability answers will be between zero and one
dikarabo tsa probability di between zero and one
61
if your answer is more than one then its wrong
ga e le gore karabo ya gago is more than one then e wrong
62
probability can be expressed in the forms of fraction decimal and percentage
probability e bonagala in the forms of fraction decimal and percentage
63
the purpose of an experiment is to find out the possible outcomes
mosola wa an experiment ke go batla the possible outcomes
64
we expect different outcomes from an experiment
we expect outcomes tse di farologaneng from an experiment
65
this two rand has a head and a tail
two rand e e nale tlhogo le mogatla
66
experiment is a man made or natural occurrence
experiment ke tiragalo e itiretsweng or ya tlhago
67
an event is a collection of outcomes that satisfies a certain condition
an event ke collection ya ditlamorago that satisfy a certain condition
68
a six sided dice
dice e e nale matlhakore a le six
69
after rolling a dice i want it to land on an even number
after rolling a dice ke batla gore e eme on an even number
70
how many numbers do you have in an event
go nale di number tsa kae in an event
71
how many numbers do you have in a sample space
go nale di number tsa kae in a sample space
72
what is interesting is the event happening
what is interesting ke tiragalo e e diragalang
73
when the question says that express your answer as a percentage then you take the answer and multiply it by hundred
ga question e re express your answer as a percentage then o tsaya karabo ya gago and multiply it ka hundred
74
you must approach these questions from simple to complex
you must approach these questions from simple to e e thata
75
a coin that is tossed has two possible outcomes
coin e e latlhetsweng kwa godimo e be e wela fatshe has two possible outcomes
76
what is the probability of getting a tail when a coin is tossed
what is the probability of go bona mogatla when a coin is tossed
77
the probability of getting the number six is the total number of times the number six appears on the dice over the total number of outcomes in the sample space
null
78
how many times does the number six appear on the dice
number six e tlhagelela ga kae in this dice
79
there is a 17 percent chance that the dice will land on the number six after rolling it
there is a 17 percent chance that the dice will land on the number six ga e sena go pitikologa
80
a coin is tossed what is the probability of getting a tail
a coin e e latlhelwang kwa godimo what is the probability of getting a tail
81
you have to find your sample space first
o tshwanetse go batla your sample space pele
82
I have two things in my sample space head and tail
ke nale dilo tse pedi on my sample space a tail and a head
83
for my event I am looking for a tail
for my event ke batla tail
84
the probability of an event happening is equal to the total number of the event over the number of the total sample space
the probability ya gore go nne le tiragalo e e rileng e lekana le the total number of tiragalo eo over the number of the total sample space
85
what is the probability of getting heads twice
what is the probability of getting heads gabedi
86
determine the probability of taking out at random the letter e from the word excellence
determine the probability ya go ntsha tlhaka ya e at random from lefoko excellence
87
the letters of the word excellence are written on different cards
ditlhaka tsa lefoko excellence di kwadilwe on different cards
88
determine the probability of taking out at random the letter x or the letter c from the word excellence
determine the probability ya go ntsha tlhaka ya x kgotsa tlhaka ya c at random from lefoko excellence
89
there are two events in the question the first is to take out the letter x and the second one is to take out the letter c
there are two events in the question the first ke go ntsha the letter x and the second one ke go ntsha the letter c
90
our total sample space is ten since the number of letters in the word excellence is equal to ten
our total sample space is ten since the word excellence e nale ditlhaka di le ten
91
zero comma three can also be written as thirty percent
zero comma three e kgona go kwalwa gape as thirty percent
92
suppose that the letter n is taken out of the box with the letters that make up the word excellence
suppose that tlhaka ya n e ntshitswe out of the box e e naleng ditlhaka that make up the word excellence
93
write down the event and the sample space each time you get this type of problem
o kwale the event le sample space each time o bona this type of problem
94
let a be the event on which the dice lands on an even number
let a be the event e dice e emang on an even number
95
draw a venn diagram showing the sample space or the outcome
draw a venn diagram e e bontshang the sample space or the outcome
96
this means that the sample space should include all the events
this means that the sample space tshwanetse e akaretse all the events
97
draw a venn diagram that includes the probabilities
draw a venn diagram e e naleng the probabilities
98
we want the sample space for event a
re batla the sample space ya event a
99
the factors of nine are numbers that divide exactly into the number nine without leaving a remainder
factors tsa nine ke dipalo that divide exactly into the number nine without leaving a remainder
100
list the items in a set form
kwala the items in a set form