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ā€¢ The "mode" is the value that occurs most
often. If no number is repeated, then there
is no mode for the list
ā€¢ For example if we have to find the mode of
the following series-
ā€¢ 13, 18, 13, 14, 13, 16, 14, 21, 13
ā€¢ . The mode is the number that is repeated
more often than any other, so 13 is the
mode.
ā€¢ Median is the middle value of the given numbers
or distribution in their ascending order. Median is
the average value of the two middle elements
when the size of the distribution is even.
Example 1: To find the median of 4,5,7,2,1Example 1: To find the median of 4,5,7,2,1
[ODD].[ODD].
Step 1:Step 1: Count the total numbers given.Count the total numbers given.
There are 5 elements or numbers inThere are 5 elements or numbers in
the distributionthe distribution
Step 2:Step 2: Arrange the numbers in ascendingArrange the numbers in ascending
order.order.
1,2,4,5,71,2,4,5,7
Step 3:Step 3: The total elements in theThe total elements in the
distribution (5) is odd.distribution (5) is odd.
The middle position can beThe middle position can be
calculated using the formula. (n+1)/2calculated using the formula. (n+1)/2
So the middle position is (5+1)/2 =So the middle position is (5+1)/2 =
6/2 = 36/2 = 3
The number at 3rd position is =The number at 3rd position is =
Median = 4Median = 4
0
2
4
6
8
10
JISBIN DEV SUCHIT MOHIT
MARKS
MARKS
ā€¢ Probability is the chance that something will
happen - how likely it is that some event will
happen.
Sometimes you can measure a probability with a
number: "10% chance of rain", or you can use
words such as impossible, unlikely, possible, even
chance, likely and certain.
Example: "It is unlikely to rain tomorrow".
ā€¢ Problem:Ā Ā AĀ spinnerĀ hasĀ 4Ā equalĀ sectorsĀ coloredĀ 
yellow,Ā blue,Ā greenĀ andĀ red.Ā WhatĀ areĀ theĀ 
chancesĀ ofĀ landingĀ onĀ blueĀ afterĀ spinningĀ theĀ 
spinner?Ā WhatĀ areĀ theĀ chancesĀ ofĀ landingĀ onĀ red.
ā€¢ Ā Solution:Ā Ā TheĀ chancesĀ ofĀ landingĀ onĀ blueĀ areĀ 1Ā 
inĀ 4,Ā orĀ oneĀ fourth.Ā TheĀ chancesĀ ofĀ landingĀ onĀ redĀ 
areĀ 1Ā inĀ 4,Ā orĀ oneĀ fourth
ā€¢ ThisĀ problemĀ askedĀ usĀ toĀ findĀ someĀ probabilitiesĀ 
involvingĀ aĀ spinner.
ā€¢ InĀ probability,Ā weĀ talkĀ aboutĀ events"Ā andĀ outcomes."Ā AnĀ 
eventĀ isĀ anythingĀ thatĀ happens.Ā AnĀ outcomeĀ forĀ example,Ā 
canĀ haveĀ twoĀ possibleĀ resultsĀ --Ā headsĀ orĀ tails.Ā WhenĀ youĀ 
flipĀ aĀ coinĀ (anĀ event),Ā theĀ resultĀ (outcome)Ā isĀ eitherĀ headsĀ 
orĀ tails.
ā€¢ ProbabilityĀ tellsĀ youĀ whichĀ outcomeĀ --Ā headsĀ orĀ tailsĀ --Ā isĀ 
moreĀ likelyĀ toĀ occurĀ inĀ anyĀ givenĀ event.Ā YouĀ canĀ determineĀ 
theĀ probabilityĀ ofĀ aĀ particularĀ outcomeĀ byĀ dividingĀ theĀ 
numberĀ ofĀ timesĀ thatĀ theĀ outcomeĀ hasĀ occurredĀ byĀ theĀ 
totalĀ numberĀ ofĀ events.Ā ToĀ findĀ theĀ probabilityĀ thatĀ aĀ flippedĀ 
coinĀ willĀ comeĀ upĀ heads,Ā forĀ example,Ā youĀ mightĀ flipĀ theĀ 
coinĀ 25Ā times.Ā IfĀ theĀ coinĀ turnsĀ upĀ headsĀ 10Ā times,Ā thenĀ theĀ 
probabilityĀ thatĀ theĀ coinĀ willĀ landĀ headsĀ upĀ onĀ theĀ nextĀ flipĀ 
isĀ 10/25,Ā orĀ 2/5.
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