Question

2/ Calculate from the following

࿐ i) Median

࿐ ii) Mode


$\: \:$$\bf\red{5,2,2,3,4,4,1}$

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Answer 1

Answer:

$\\ \\ \large\bigstar \bf \underline\color{lime}{ \underline{QueStiOn}} \bigstar$

2/ Calculate from the following

• ࿐ i) Median

• ࿐ ii) Mode

$\: \:$$\bf\red{5,2,2,3,4,4,1}$

$\\ \\ \large\bigstar \bf \underline\color{lime}{ \underline{required \: answer}} \bigstar$

• i) Median

$\\ \bf \color{lime}{arranging \: the \: given\: data \: in} \\ \bf \color{lime}{ascending \: order}$

• $\: \:$$\bf\red{1,2,2,3,4,4,5}$

$\\ \therefore \bf \purple{n = 7(odd)} \\ \bf \purple {so \: median \: = ( \frac{n + 1)}{2} {}^{th} } \\ \bf \pink{= \frac{(7 + 1)}{2} {}^{th}} \\ \bf \pink {= ( \cancel\frac{8}{2} ) {}^{th} } \\ \large\bf\fbox \green{= 4} \\ \\ \pink\therefore \sf\green{\: median \: = 3}$

• ii) Mode

$\bf \color{orange}here \: \bf \boxed {2 \: and \: 4} \: occurs \\ \bf \color{orange}{most \: frequently} \\ \\ \bf \color{aqua} {\therefore \: so \: mode \: = \: 2 \: and \: 4}$

• Additional Information-

Media

Value of the middlemost observation.

• If n(number of observations) is odd, Median =[(n+1)/2]th observation.

• If n is even, the Median is the mean or average of (n/2)th and [(n+1)/2]th observation.

Mode

• The most frequently occurring observation is called the mode.

• The class interval with the highest frequency is the modal class

Answer 2

i) Median

arranging the given data in ascending order

1,2, 2, 3, 4, 4, 5

..n=7(odd)

so median

n+1) th

(7 + 1) th

2

8

4

median

ii) Mode

here 2 and 4

th

= 3

occurs

most frequently

.. so mode 2 and 4

all WifE

87)

• Additional Information

Media

Value of the middlemost observation.

If n(number of observations) is odd, Median =[(n+1)/2]th observation.

• If n is even, the Median is the mean orMedia

all WifE

87)

Value of the middlemost observation.

• If n(number of observations) is odd, Median =[(n+1)/2]th observation.

• If n is even, the Median is the mean or average of (n/2)th and [(n+1)/2]th observation.

Mode

• The most frequently occurring observation is called the mode.

• The class interval with the highest frequency is the modal class