(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

If the mean of the following data is $20.2,$ find the value of $p:$
$\begin{array}{|c|c|c|c|c|c|} \hline x & 10 & 15 & 20 & 25 & 30 \\ \hline f & 6 & 8 & p & 10 & 6 \\ \hline \end{array}$

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The mean of $10$ observations is calculated as $22.7$. It was later noticed that one observation was taken as $15$ instead of $51$ by mistake. Then,the correct mean of the data is ........

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The mean of natural numbers between $1$ to $20$ which are multiples of $3$ is ..........

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The class marks of a continuous distribution are: $1.04, 1.14, 1.24, 1.34, 1.44, 1.54$ and $1.64$. Is it correct to say that the last interval will be $1.55-1.73$? Justify your answer.

Medium

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To draw a histogram to represent the following frequency distribution:

Class interval $5-10$ $10-15$ $15-25$ $25-45$ $45-75$

Frequency $6$ $12$ $10$ $8$ $15$

The adjusted frequency for the class $25-45$ is:

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Class interval	$5-10$	$10-15$	$15-25$	$25-45$	$45-75$
Frequency	$6$	$12$	$10$	$8$	$15$

$A$ 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

If the mean of the following data is $20.2,$ find the value of $p:$$\begin{array}{|c|c|c|c|c|c|} \hline x & 10 & 15 & 20 & 25 & 30 \\ \hline f & 6 & 8 & p & 10 & 6 \\ \hline \end{array}$

The mean of $10$ observations is calculated as $22.7$. It was later noticed that one observation was taken as $15$ instead of $51$ by mistake. Then,the correct mean of the data is ........

The mean of natural numbers between $1$ to $20$ which are multiples of $3$ is ..........

The class marks of a continuous distribution are: $1.04, 1.14, 1.24, 1.34, 1.44, 1.54$ and $1.64$. Is it correct to say that the last interval will be $1.55-1.73$? Justify your answer.

To draw a histogram to represent the following frequency distribution: Class interval $5-10$ $10-15$ $15-25$ $25-45$ $45-75$ Frequency $6$ $12$ $10$ $8$ $15$ The adjusted frequency for the class $25-45$ is:

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If the mean of the following data is $20.2,$ find the value of $p:$
$\begin{array}{|c|c|c|c|c|c|} \hline x & 10 & 15 & 20 & 25 & 30 \\ \hline f & 6 & 8 & p & 10 & 6 \\ \hline \end{array}$

To draw a histogram to represent the following frequency distribution:

Class interval $5-10$ $10-15$ $15-25$ $25-45$ $45-75$

Frequency $6$ $12$ $10$ $8$ $15$

The adjusted frequency for the class $25-45$ is: