CBSE Questions for Class 11 Commerce Economics Measures Of Central Tendency Quiz 4 - MCQExams.com

The value of $$\displaystyle \sum ^{n}_{i=1}\left ( x_{1} -\bar{x}\right )$$ where $$\displaystyle \bar{x}$$ is the arith metic mean of $$\displaystyle x_{i}$$ is
  • 1
  • 0
  • $$\displaystyle n\bar{x}$$
  • none of these
In the data set below, what is the upper quartile?
$$1, 2, 4, 2, 5, 6, 7$$
  • $$2$$
  • $$7$$
  • $$6$$
  • $$4$$

From the following data$$: 7, 3, 4, 5, 7, 7, 7, 3, 2, 1, 8, 2.$$ Find the mode.

  • $$3$$
  • $$7$$
  • $$2$$
  • $$5$$
Find the weighted mean of marks obtained by a student in certain examination if he has secured $$75,80,67,90$$ marks in English, Tamil, Mathematics, social Science respectively, having corresponding weights $$3, 2, 2, 1.$$
  • $$75.16$$
  • $$76.12$$
  • $$62.17$$
  • $$78.12$$
The median of the following data $$36, 74, 77, 31, 68, 76, 34, 80, 64, 32, 82$$ is-
  • $$68$$
  • $$34$$
  • $$67$$
  • $$76$$
 Marks 10-20 20-30 30-40 40-50 50-60
 Frequency 4 10 20 40 50
The following frequency distribution shows the marks obtained by $$124$$ students in Economy at a certain school. Find the arithmetic mean using the direct method.
  • $$50$$ marks
  • $$80$$ marks
  • $$30$$ marks
  • $$45$$ marks
During the first period in the class, Elsa's math quiz scores were $$90, 92, 93, 88, 95, 88, 97, 87$$ and $$98$$. What was the median quiz score?
  • $$90$$
  • $$91$$
  • $$88$$
  • $$92$$
The daily earnings (in rupees) of $$10$$ workers in a factory are $$6, 14, 17, 6, 14, 17, 14, 6, 17, 14$$.
The median wage is-
  • Rs.$$6$$
  • Rs.$$14$$
  • Rs.$$15$$
  • Rs.$$17$$
Find the mode of the following data
$$ 58, 35, 54, 32, 54, 58, 34, 35, 35, 32, 58, 35, 35, 89, 58, 32, 32, 89.$$
  • $$35$$
  • $$58$$
  • $$32$$
  • $$89$$
Choose the formula used for arithmetic mean of grouped data by Assumed mean method is
  • $$\bar { x } = A - \dfrac { \sum { fd } }{ \sum { f } } $$
  • $$\bar { x } = A + \dfrac { \sum { fd } }{ \sum { f } } $$
  • $$\bar { x } = A \times \dfrac { \sum { fd } }{ \sum { f } } $$
  • $$\bar { x } = { A } / { \dfrac { \sum { fd } }{ \sum { f } } }$$
In a moderately a symmetrical distribution- The mean and mode are $$50$$ and $$37.5$$ respectively, find median.
  • $$45.50$$
  • $$45.86$$
  • $$52.5$$
  • $$52.86$$
Identify in which ideal measure of central tendency used to find the middle value, if the data are ordinal?
  • mean
  • median
  • mode
  • range
Which ideal measure of central tendency used to find the middle value, if the data are categorical?
  • mean
  • median
  • mode
  • range
In the data set below, what is the lower quartile?
$$1, 2, 4, 2, 5, 6, 7$$
  • $$1$$
  • $$2$$
  • $$4$$
  • $$5$$
Find the first quartiles for the following data.
$$8, 11, 20, 10, 2, 17, 15, 5, 16, 15, 25, 6, 5$$
  • $$2$$
  • $$6$$
  • $$8$$
  • $$5$$
The lower quartile is the value of the middle of the first set, where $$25\%$$ of the values are _____ than $$Q_1$$ and $$75\%$$ are larger.
  • longer
  • larger
  • smaller
  • higher
The ______ is the median of of the lower half of the data set.
  • quartile
  • upper quartile
  • range
  • lower quartile
In which quartile, $$75\%$$ of observations are less than $$Q_3$$ and $$25\%$$ are larger?
  • lower
  • upper
  • middle
  • $$Q_3$$
______ is called as half of the difference between upper and lower quartiles.
  • Standard deviation
  • Mean deviation
  • Quartile deviation
  • Interquartile range
The notation used for second quartile is
  • $$Q_3$$
  • $$Q_1$$
  • $$Q_2$$
  • $$Q_4$$
Which type of variable is best to measure the central tendency of median?
  • nominal
  • ratio
  • interval
  • ordinal
What is the best measure of central tendency for the given diagram?

464166.PNG
  • mode
  • mean
  • median
  • range
In which distribution, measure of central tendency is equal?
  • left skew
  • right skew
  • normal
  • all the above
Find the average of the expressions $$2x+4, 5x-1$$ and $$-x+3$$.
  • $$x+2$$
  • $$x-2$$
  • $$2x+2$$
  • $$2x-2$$
$$12-n, 12, 12+n$$
What is the average (arithmetic mean) of the $$3$$ quantities in the list above?
  • $$4$$
  • $$12$$
  • $$18$$
  • $$4+\dfrac{n}{3}$$
  • $$12+\dfrac{n}{3}$$
The mean of $$a, b, c, d$$ and $$e$$ is $$28$$. If the mean of $$a, c$$ and $$e$$ is $$24$$, what is the mean of $$b$$ and $$d$$?
  • $$31$$
  • $$32$$
  • $$33$$
  • $$34$$
If the median of $$\dfrac {x}{3}, \dfrac {x}{2}, \dfrac {x}{4}, \dfrac {2x}{9}$$ and $$x$$ is $$5$$, find the value of $$x$$.
  • $$10$$
  • $$15$$
  • $$20$$
  • $$25$$
In which two measure of central tendency do not affect the outliers?
  • median and mean
  • mean and mode
  • median and mode
  • mode and range
Determine which type of variable is best to measure the central tendency of mode?
  • nominal
  • ratio
  • interval
  • ordinal
What is the best measure of central tendency for the following diagram?

464164.PNG
  • mode
  • mean
  • median
  • range
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