(A) To find the median of a given set of data,the observations must first be arranged in either ascending or descending order. In the given set $3, 14

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The child did not arrange the data in ascending or descending order.

(A) To find the median of a given set of data,the observations must first be arranged in either ascending or descending order. In the given set $3, 14, 18, 20, 5$,the values are not in order. If we arrange them in ascending order,we get $3, 5, 14, 18, 20$. The middle observation is $14$,which is the correct median. The child simply picked the middle value of the unordered list,which is incorrect.

Class 9 Mathematics Statistics Mix Examples - Statistics and Probability

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$A$ child says that the median of $3, 14, 18, 20, 5$ is $18$. What does the child not understand about finding the median?

A
The child did not arrange the data in ascending or descending order.
B
The child calculated the mean instead of the median.
C
The child chose the largest number instead of the middle one.
D
The child failed to count the total number of observations.

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Mix Examples - Statistics and Probability

The following observations are arranged in ascending order:
$26, 29, 42, 53, x, x+2, 70, 75, 82, 93$
If the median is $65,$ find the value of $x$.

Medium

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The lengths of $62$ leaves of a plant are measured in millimetres and the data is represented in the following table:

Length (in mm) Number of leaves

$118-126$ $8$

$127-135$ $10$

$136-144$ $12$

$145-153$ $17$

$154-162$ $7$

$163-171$ $5$

$172-180$ $3$

Draw a histogram to represent the data above.

Medium

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Three coins were tossed $30$ times simultaneously. Each time the number of heads occurring was noted down as follows:
$0, 1, 2, 2, 1, 2, 3, 1, 3, 0,$
$1, 3, 1, 1, 2, 2, 0, 1, 2, 1,$
$3, 0, 0, 1, 1, 2, 3, 2, 2, 0$
Prepare a frequency distribution table for the data given above.

Medium

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The following is the distribution of the number of employees working on different floors of the six-storey commercial complex:

Floor $1$ $2$ $3$ $4$ $5$ $6$

Number of employees $51$ $48$ $42$ $44$ $48$ $32$

Represent the information above by a bar graph.

Medium

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If the mean of $18, 2x, 27, 12, 3x, 5x$ and $21$ is $24,$ then find $x$.

Easy

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Length (in mm)	Number of leaves
$118-126$	$8$
$127-135$	$10$
$136-144$	$12$
$145-153$	$17$
$154-162$	$7$
$163-171$	$5$
$172-180$	$3$

Floor	$1$	$2$	$3$	$4$	$5$	$6$
Number of employees	$51$	$48$	$42$	$44$	$48$	$32$

$A$ child says that the median of $3, 14, 18, 20, 5$ is $18$. What does the child not understand about finding the median?

Similar Questions

The following observations are arranged in ascending order:$26, 29, 42, 53, x, x+2, 70, 75, 82, 93$If the median is $65,$ find the value of $x$.

The lengths of $62$ leaves of a plant are measured in millimetres and the data is represented in the following table: Length (in mm) Number of leaves $118-126$ $8$ $127-135$ $10$ $136-144$ $12$ $145-153$ $17$ $154-162$ $7$ $163-171$ $5$ $172-180$ $3$ Draw a histogram to represent the data above.

Three coins were tossed $30$ times simultaneously. Each time the number of heads occurring was noted down as follows:$0, 1, 2, 2, 1, 2, 3, 1, 3, 0,$$1, 3, 1, 1, 2, 2, 0, 1, 2, 1,$$3, 0, 0, 1, 1, 2, 3, 2, 2, 0$Prepare a frequency distribution table for the data given above.

The following is the distribution of the number of employees working on different floors of the six-storey commercial complex: Floor $1$ $2$ $3$ $4$ $5$ $6$ Number of employees $51$ $48$ $42$ $44$ $48$ $32$ Represent the information above by a bar graph.

If the mean of $18, 2x, 27, 12, 3x, 5x$ and $21$ is $24,$ then find $x$.

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The following observations are arranged in ascending order:
$26, 29, 42, 53, x, x+2, 70, 75, 82, 93$
If the median is $65,$ find the value of $x$.

Three coins were tossed $30$ times simultaneously. Each time the number of heads occurring was noted down as follows:
$0, 1, 2, 2, 1, 2, 3, 1, 3, 0,$
$1, 3, 1, 1, 2, 2, 0, 1, 2, 1,$
$3, 0, 0, 1, 1, 2, 3, 2, 2, 0$
Prepare a frequency distribution table for the data given above.

The following is the distribution of the number of employees working on different floors of the six-storey commercial complex:

Floor $1$ $2$ $3$ $4$ $5$ $6$

Number of employees $51$ $48$ $42$ $44$ $48$ $32$

Represent the information above by a bar graph.