Question

find the mode of 10,12,11,10,15,20,,19,21,11,9,10​

Answer 1

Answer :-

• Mode of the given data is 10.

To find :-

• The mode of 10, 12, 11, 10, 15, 20, 19, 21, 11, 9 and 10.

Step-by-step explanation :-

We know that :-

• The number that occurs more times than any other number is the mode of the given data.

• Here, we have to find the mode of 10, 12, 11, 10, 15, 20, 19, 21, 11, 9 and 10.

Arranging the data in ascending order,

• 9, 10, 10, 10, 11, 11, 12, 15, 19, 20, 21.

We see that :-

• Here, 10 occurs more times than any other number and it's frequency is 3.

Hence,

• Mode of the given data is 10$.$

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Know more :-

The different representatives of measuring central tendency of a statistical data are :-

1. Mean.
2. Median.
3. Mode.

In this question, we learnt what is mode of the data and how to find it. Now let's learn the formula of mean and median!

Formula for mean :-

$\sf \dfrac{Sum \: of \: observations}{Number \: of \: observations}$

Formula for median when the number of observations is odd :-

$\sf\dfrac{n + 1}{2} \: th \: observation$

Formula for median when the number of observations is even :-

$\sf \dfrac{\frac{n}{2} \: th \: observation + \left(\frac{n}{2} + 1 \right) \: th \: observation}{2}$