Statistics Test

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Statistics Test - 16

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Weekly Quiz Competition

Question 1
1 / -0

Find the median number of newspaper purchased in a story by $$9$$ customers.
$$2, 4, 5, 1, 6, 8, 9, 4, 7$$

A
$$2$$

B
$$4$$

C
$$5$$

D
$$7$$

Solution

The median of a set of data is the middlemost number in the set.
So, first arrange the data in order.
$$1, 2, 4, 4, 5, 6, 7, 8, 9$$
The median is $$5$$.
Question 2
1 / -0

$$12-n, 12, 12+n$$
What is the average (arithmetic mean) of the $$3$$ quantities in the list above?

A
$$4$$

B
$$12$$

C
$$18$$

D
$$4+\dfrac{n}{3}$$

E
$$12+\dfrac{n}{3}$$

Solution

Given $$3$$ Quantities: $$12$$ $$-$$ $$n$$, $$12$$, $$12$$ $$+$$ $$n$$

Average of the above $$3$$ Quantities $$=$$ $$\dfrac {\text{Sum of the above}\: 3\: \text{Quantities}} {\text{Number of Quantities}} $$

$$=$$ $$\dfrac { 12 \space - \space n \space + \space 12 \space + \space 12 \space + \space n }{3}$$

$$=$$ $$\dfrac {12 \times 3}{3}$$

$$=$$ $$12$$

Therefore, average of the Quantities listed above is $$12$$.
Question 3
1 / -0

Find the average of the expressions $$2x+4, 5x-1$$ and $$-x+3$$.

A
$$x+2$$

B
$$x-2$$

C
$$2x+2$$

D
$$2x-2$$

Solution

Average of the expression $$=$$ $$\dfrac{sum \quad of \quad expression }{total \quad no. \quad of \quad expressions}$$
$$\Rightarrow \dfrac{2x+4+5x-1-x+3}{3}$$
$$\Rightarrow \dfrac{6x+6}{3}$$
$$\Rightarrow \dfrac{3(2x+2)}{3}=2x+2$$
Question 4
1 / -0

The age of $$13$$ school students are listed below. Find the median.
$$12, 9, 8, 13, 15, 14, 6, 18, 7, 11, 9, 14, 10$$

A
$$8$$

B
$$14$$

C
$$11$$

D
$$10$$

Solution

The median of a set of data is the middlemost number in the set.
So, first arrange the data in order.
$$6, 7, 8, 9, 10, 10, 11, 12, 13, 14, 14, 15, 18$$
The median is $$11$$.
Question 5
1 / -0

The _____ of a set of data is the middlemost number in the set.

A
mean

B
mode

C
range

D
median

Solution

The median of a set of data is the middlemost number in the set.
Example: $$3, 4, 5, 1, 1, 8, 10$$
So, first arrange the data in order.
So, $$1, 1, 3, 4, 5, 8, 10$$
The middle number is median $$= 4$$
Question 6
1 / -0

Find mode of the following data.

A
$$480$$

B
$$360$$

C
$$240$$

D
$$120$$

Solution

Here, the highest frequency of receiving letters is $$80$$.
So, the mode is $$480$$.
Question 7
1 / -0

The George family drove through $$11$$ states on their Spring vacation. Gasoline prices varied from state to state. Find the median gasoline price.
$$42, 54, 12, 89, 56, 75, 29, 13, 20, 11, 34$$

A
$$20$$

B
$$29$$

C
$$54$$

D
$$34$$

Solution

The median of a set of data is the middlemost number in the set.
So, first arrange the data in order.
$$11, 12, 13, 20, 29, 34, 42, 54, 56, 75, 89$$
The median gasoline price is $$34$$.
Question 8
1 / -0

The mode is the number that is repeated more _____ than any other.

A
rarely

B
often

C
infrequently

D
seldom

Solution

The mode is the number that is repeated more often than any other.
Example: In a group of data: $$11, 12, 12, 13, 14, 12, 15, 16, 12, 11$$
$$12$$ is the mode. (Because $$12$$ occurs more often than any other numbers.)
Question 9
1 / -0

If $$i < m < n$$, then the median of the list $${i, m, n}$$ is ____.

A
$$i$$

B
$$n$$

C
$$m$$

D
$$a$$

Solution

The median of a set of data is the middlemost number in the set.
So, the median of the list $${i, m, n}$$ is $$m$$.
Question 10
1 / -0

Find AM of divisors of $$100$$.

A
$$24$$

B
$$25.5$$

C
$$24.11$$

D
$$21.9$$

Solution

Divisors of 100 are:
$$1, 2, 4, 5, 10, 20, 25, 50, 100$$
$$\therefore n=9$$
$$\therefore S=1+2+4+5+10+20+25+50+100=217$$
$$\therefore A.M.=\dfrac{S}{n}=\dfrac{217}{9}=24.11$$

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Re-Attempt Weekly Quiz Competition

Statistics Test - 16

Result

Statistics Test - 16

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SHARING IS CARING

Question 1

$$2$$

$$4$$

$$5$$

$$7$$

Solution

Question 2

$$4$$

$$12$$

$$18$$

$$4+\dfrac{n}{3}$$

$$12+\dfrac{n}{3}$$

Solution

Question 3

$$x+2$$

$$x-2$$

$$2x+2$$

$$2x-2$$

Solution

Question 4

$$8$$

$$14$$

$$11$$

$$10$$

Solution

Question 5

mean

mode

range

median

Solution

Question 6

$$480$$

$$360$$

$$240$$

$$120$$

Solution

Question 7

$$20$$

$$29$$

$$54$$

$$34$$

Solution

Question 8

rarely

often

infrequently

seldom

Solution

Question 9

$$i$$

$$n$$

$$m$$

$$a$$

Solution

Question 10

$$24$$

$$25.5$$

$$24.11$$

$$21.9$$

Solution

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