(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

Easy

$A$ 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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Class 9

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Statistics

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Mix Examples - Statistics and Probability

The frequency distribution of the marks scored by $35$ students in a $60$ marks test is as below:
Marks scored No. of students
$0-10$ $2$
$10-20$ $7$
$20-30$ $8$
$30-40$ $7$
$40-50$ $8$
$50-60$ $3$

Represent the data by a histogram.

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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The mean of the $10$ observations is $68$. If each observation is divided by $2$ and then $6$ is added to each result, find the mean of the new observations so obtained.

Difficult

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The median of the data $78, 56, 22, 34, 45, 54, 39, 54, 84$ is

Medium

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Represent the following data by a bar graph:

Score Frequency

$1$ $15$

$2$ $13$

$3$ $20$

$4$ $17$

$5$ $20$

$6$ $15$

Score	Frequency
$1$	$15$
$2$	$13$
$3$	$20$
$4$	$17$
$5$	$20$
$6$	$15$

Medium

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Marks scored	No. of students
$0-10$	$2$
$10-20$	$7$
$20-30$	$8$
$30-40$	$7$
$40-50$	$8$
$50-60$	$3$

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

$A$ 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 frequency distribution of the marks scored by $35$ students in a $60$ marks test is as below:Marks scoredNo. of students$0-10$$2$$10-20$$7$$20-30$$8$$30-40$$7$$40-50$$8$$50-60$$3$Represent the data by a histogram.

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.

The mean of the $10$ observations is $68$. If each observation is divided by $2$ and then $6$ is added to each result, find the mean of the new observations so obtained.

The median of the data $78, 56, 22, 34, 45, 54, 39, 54, 84$ is

Represent the following data by a bar graph: Score Frequency $1$ $15$ $2$ $13$ $3$ $20$ $4$ $17$ $5$ $20$ $6$ $15$

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The frequency distribution of the marks scored by $35$ students in a $60$ marks test is as below:
Marks scored No. of students
$0-10$ $2$
$10-20$ $7$
$20-30$ $8$
$30-40$ $7$
$40-50$ $8$
$50-60$ $3$

Represent the data by a histogram.

Represent the following data by a bar graph:

Score Frequency

$1$ $15$

$2$ $13$

$3$ $20$

$4$ $17$

$5$ $20$

$6$ $15$