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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

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

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

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

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

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

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.

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

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

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

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

given data identify the minimum and maximum values in the data

given data batla the minimum and maximum values in the data

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

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

the five number summary is given by five numbers

the five number summary ya itlhalosa ke di number tse tlhano

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.

recall that the mean is always in the middle of the box

the mean is always mogare ga box

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

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

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

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

how is the data distributed explain

explain gore data e phatlhaladitswe yang describe whether it is positively or negatively skewed or is it symmetrical

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

when we want to find the length of a side

when we want go bona botelle ba a side

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

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

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

we want to get rid of this fraction

re batla go latlha this fraction

how to find the angle

angle re e bona yang

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

draw an arrow that is pointing towards ninety degrees

draw an arrow e e supang ninety degrees

when you find an angle they will give you two sides

when you find an angle ba tlo go fa matlhakore a mabedi

for sides they will give you one angle and one side

for matlhakore they will give you one angle le letlhakore le le one

which trigonometry ratio deals with opposite over adjacent

ke trigonmetry ratio e feng that deals with opposite over adjacent

the important thing is to choose the correct trigonometry ratio

se se botlhokwa ke go tlhopha the correct trigonometry ratio

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

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

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

lets persevere guys

a re itshokeng guys

write to impress

kwala to impress

which trig ratio deals with opposite over hypotenuse

ke trig ratio e feng that deals with opposite over hypotenuse

this is the angle we are going to use

ke yona angle e re tlileng go e dirisa

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

what does the opposite side give us

opposite side e re fa bo kae

which trig ratio deals with adjacent over hypotenuse

ke trig ratio e feng that deals with adjacent over hypotenuse

guys round off your answers

guys round off dikarabo tsa lona

calculate the distance between two boats

calculate the distance between dikepe tse pedi

the two dimension questions are easy

dipotso tsa two dimension questions di bonolo

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

if you didnt start here then your answer is wrong

ga o sa simolola fa then your answer is wrong

which trig ratio deals with opposite over adjacent

ke trig ratio e feng that deals with opposite over adjacent

what does the adjacent side give us

adjacent side e re fa bo kae

that is our distance

distance ya rona ke eo

its important to know where you start

go botlhokwa to know where to start

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

what is the angle of elevation using the calculator

angle of elevation ke bo kae fa o dirisa calculator

probability deals with outcomes that may or may not happen

probability deals with ditlamorago tse di ka diragalang kgotsa tse di ka se diragaleng

the probability that tomorrow is tuesday is zero

the probability that kamoso ke labobedi is zero

if its zero then it means its impossible

if its zero then it means ga go kgonagale

probability answers will be between zero and one

dikarabo tsa probability di between zero and one

if your answer is more than one then its wrong

ga e le gore karabo ya gago is more than one then e wrong

probability can be expressed in the forms of fraction decimal and percentage

probability e bonagala in the forms of fraction decimal and percentage

the purpose of an experiment is to find out the possible outcomes

mosola wa an experiment ke go batla the possible outcomes

we expect different outcomes from an experiment

we expect outcomes tse di farologaneng from an experiment

this two rand has a head and a tail

two rand e e nale tlhogo le mogatla

experiment is a man made or natural occurrence

experiment ke tiragalo e itiretsweng or ya tlhago

an event is a collection of outcomes that satisfies a certain condition

an event ke collection ya ditlamorago that satisfy a certain condition

a six sided dice

dice e e nale matlhakore a le six

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

how many numbers do you have in an event

go nale di number tsa kae in an event

how many numbers do you have in a sample space

go nale di number tsa kae in a sample space

what is interesting is the event happening

what is interesting ke tiragalo e e diragalang

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

you must approach these questions from simple to complex

you must approach these questions from simple to e e thata

a coin that is tossed has two possible outcomes

coin e e latlhetsweng kwa godimo e be e wela fatshe has two possible outcomes

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

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

how many times does the number six appear on the dice

number six e tlhagelela ga kae in this dice

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

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

you have to find your sample space first

o tshwanetse go batla your sample space pele

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

for my event I am looking for a tail

for my event ke batla tail

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

what is the probability of getting heads twice

what is the probability of getting heads gabedi

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

the letters of the word excellence are written on different cards

ditlhaka tsa lefoko excellence di kwadilwe on different cards

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

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

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

zero comma three can also be written as thirty percent

zero comma three e kgona go kwalwa gape as thirty percent

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

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

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

draw a venn diagram showing the sample space or the outcome

draw a venn diagram e e bontshang the sample space or the outcome

this means that the sample space should include all the events

this means that the sample space tshwanetse e akaretse all the events

draw a venn diagram that includes the probabilities

draw a venn diagram e e naleng the probabilities

we want the sample space for event a

re batla the sample space ya event a

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

list the items in a set form

kwala the items in a set form