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1
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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
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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
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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
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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
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mode refers to the number e e ipoeletsang go feta tse dingwe in your data
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7
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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
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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
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9
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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
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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
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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
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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
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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
|
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