Question

Find the median of : 9, 3, 20, 13, 0, 7 and 10

b) Find the mode of 7, 7, 8, 10, 10, 11, 10, 13,​

Answer 1

Answer:

Mode: More repeated number= 10

Median: First arranging numbers in ascending order

= 0, 3, 7, 9, 10, 13, 20

Clearly, the middle term is 9

So, Number of term = 7(odd)

7 is odd number, so we apply the formula:

$\frac{n + 1}{2}$

(If the number is even then we apply this formula:)

$\frac{n}{2}$

Now 7 is odd number so,

$\frac{n + 1}{2}$

$\frac{7 + 1}{2}$

$\frac{8}{2}$

$4$

Therefore the median is 4 term= 9.

Hope this the right answer ☺️.

Answer 2

Let's solve both the questions one by one!

$\underline{\underline{\mathfrak{Answer \: a :-}}}$

• Median of the given data is 9.

What to do?

• Find the median of 9, 3, 20, 13, 0, 7 and 10.

Step-by-step explanation :-

Let's find the median of the given data!

We know that :-

$\underline{\boxed{\sf Median = \dfrac{n + 1}{2} \:th \:observation, if \:n\: is \:odd.}}$

Here,

• The number of observations is 7, which is odd.

Hence,

$\rm Median = \dfrac{7 + 1}{2} \: th \: observation$

$\rm Median = \dfrac{8}{2} \: th \: observation$

$\rm Median = 4th \: observation$

Arranging the data in ascending order,

• 0, 3, 7, 9, 10, 13, 20.

We see that :-

• Here, the 4th observation is 9.

Therefore,

• Median of the given data = 9.

---------------------

$\underline{\underline{\mathfrak{Answer \: b :-}}}$

• Mode of the given data is 10.

What to do?

• Find the mode of 7, 7, 8, 10, 10, 11, 10 and 13.

Step-by-step explanation :-

Let's find the mode of the given data!

• Here, the number of observations is 8.

Arranging the given data in ascending order,

• 7, 7, 8, 10, 10, 10, 11, 13.

We see that :-

• In the given data, 10 occurs more number of times than any other number and it's frequency is 3.

Hence,

• Mode of the given data = 10.