$CATEGORY: Maths - TicTacLearn/13. Statistics/13. Statistics--Advanced

//Multiple Choice

Which of the following is a measure of central tendency? {
~Probability
=Mean
~Variance
~Standard Deviation
}

What is the relationship given by Carl Pearson between mean, median, and mode? {
=Mode \= 3(Median) - 2(Mean)
~Mean \= 3(Mode) - Median
~Median \= Mean + Mode
~Mode + Mean \= Median
}

If the mean of a data set is 25 and the median is 24, then the mode can be calculated as\: {
~26
~23
~24.5
=27
}

The sum of observations divided by the number of observations gives the\: {
~Mode
~Median
=Mean
~Range
}

When all observations have the same frequency, the mode is\: {
=Undefined
~Equal to the mean
~0
~Cannot be calculated
}

Which central tendency measure divides the data into two equal halves? {
~Mean
~Mode
=Median
~Range
}

What is the sum of the probabilities for complementary events? {
~0.5
=1
~2
~Cannot be determined
}

If a data set has frequencies in a cumulative table, it is best used to calculate\: {
~Mean
~Mode
=Median
~None of the above
}

The mode is determined from which type of frequency distribution? {
~Cumulative
=Frequency
~Continuous
~None
}

If the mean is 20 and the median is 22, what would the mode approximately be using the relation Mode \= 3(Median) - 2(Mean)? {
~18
~24
=26
~20
}

//True or False

The mean is always greater than both the median and mode. {F}

The relationship between mean, median, and mode is given by the formula 3 × Median \= Mode + 2 × Mean. {T}

Mode is the value that appears least frequently in a data set. {F}

In a perfectly symmetrical distribution, mean, mode, and median have the same value. {T}

Mean is more affected by extreme values compared to the median. {T}

If the median is 25 and the mode is 30, the mean must always be greater than the median. {F}

In a frequency distribution table, cumulative frequency is essential for finding the median. {T}

The mean can never be negative. {F}

The mode is always a whole number. {F}

In a skewed distribution, the mean, mode, and median will differ significantly. {T}

//Numericals



//Fill in the blanks

The formula for the relationship between mean, median, and mode is __________. {
~Mean - Mode \= Median
=3 × Median \= Mode + 2 × Mean
~Mean + Median + Mode \= 0
~Mode \= Mean × 3
}

The value of the mode is __________ when the mean is 40 and the median is 42. {
~38
~44
=46
~42
}

The value that divides a frequency distribution into two equal parts is called the __________. {
~Mean
=Median
~Mode
~Range
}

__________ is the value that appears most frequently in a data set. {
~Median
=Mode
~Mean
~Range
}

In a symmetrical distribution, the values of mean, median, and mode are __________. {
=Equal
~Unequal
~Irrelevant
~Undefined
}

__________ is the measure of central tendency most affected by extreme values. {
~Mode
~Median
=Mean
~All of these
}

When the mode is 50 and the mean is 45, the approximate value of the median is __________. {
=46
~47.5
~48
~49
}

If the mean is 30, the mode is 32, then the median will be __________ using the relationship between mean, median, and mode. {
~29
=31
~32
~33
}

The mean is often referred to as the __________ average. {
~Simple
~Weighted
=Arithmetic
~Complex
}

The difference between the highest and lowest value in a dataset is called the __________. {
~Mode
=Range
~Median
~Mean
}

//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=Formula for relationship between mean, median, and mode -> 3(Median) \= Mode + 2(Mean)
=The value that occurs most frequently -> Mode
=Measure least affected by outliers -> Median
=Sum of all values divided by the number of values -> Mean
}



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