Question

find the range and mode of the given data :- 12 , 15 , 12 , 23 , 28 , 23 , 24 , 29 , 23 , 25 .​

Answer 1

range=29-12

range=6

mode= most occurred value

mode=23

if it helps please thank me

Answer 2

Given Data :-

$⇝ \:$12, 15, 12, 23, 28, 23, 24, 29, 23, 25 .

$\:$

To Find :-

• The range and mode of the given data.

$\:$

Formulas Used :-

♣️ Range Formula :

★$\: \color{magenta}{ \boxed{\sf Range \: = \: Highest \: value - \: lowest \: value }}$

Where,

The difference between the highest and the lowest value.

♣️ Mode Formula :

★$\: \color{magenta}{ \boxed{\sf Mode = Most \: repeated \: value }}$

$\:$

Solution :-

Given :

$⇝ \:$12, 15, 12, 23, 28, 23, 24, 29, 23, 25 .

Let,

Arrange the given date in ascending order.

Now,

$\sf⇝ \: 12, 15, 12, 23, 28, 23, 24, 29, 23, 25$

$\bf \red⇝ \: 12, 12, 15, 23, 23, 23, 24, 25, 28, 29$

First, We have to find the range of the given data :

Here,

• Highest value = 29
• Lowest value = 12

According to the question by using formula we get,

$\implies \: \sf Range \: = \: Highest \: value - \: lowest \: value$

$\implies \: \sf Range \: = \: 29 - \: 12$

$\implies \: \bf \red{Range \: = \: 17}$

∴ Hence, the range of the given data is 17 .

$\:$

Now, We have to find the mode of the given data :

We know that,

• Mode = Most repeated value

According to the question by using formula we get,

➳ 12 = 2 times

➳ 15 = 1 time

➳ 23 = 3 times

➳ 24 = 1 time

➳ 25 = 1 time

➳ 28 = 1 time

➳ 29 = 1 time

Here,

23 is repeated 3 times

∴ Hence, the mode of the given data is 23 .