1 Marks Question

Question 511 Mark

The range of the data $2, -5, 4, 3, 7, 6$ would change, if $2$ was subtracted from each value in the data.

Answer

Range before subtraction by $2 =$ Highest observation $-$ Lowest observation $= 7 - (-5) = 7 + 5 = 12$
Data after subtract by $2 = 2 -2, -5 - 2, 4 - 2, 3 -2, 7 - 2, 6 - 2,$ i.e. $0, -7, 2, 1, 5, 4$
Range $=$ Highest observation $-$ Lowest observation $= 5 - (-7) = 5 + 7 = 12$
So, the range is same.

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Question 521 Mark

Given below are heights of $15$ boys of a class measured in cm$:128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154.$
Find:
The range of the given data.

Answer

Given, height (data) of $15$ boys of a class are: $128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154.$
Arranging the given data in ascending order, we have $128, 129, 136, 138, 140, 140, 142, 142, 143, 144, 144, 146, 150, 152, 154$
Here, highest observation $= 154$ and lowest observation $= 128$
$\therefore$ Range = Highest observation - Lowest observation $= 154 - 128 = 26\ cm$

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MATHS 1 Marks Question