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Question 11 Mark

A car seller collects the following data of cars sold in his shop

Colour of cars	Number of cars sold
Red	15
Black	20
White	17
Silver	12
Others	9

(i) Which colour of the car is most liked?
(ii) Which measure of central tendency was used in (i)?

Answer

(i) Red colour of the car liked by people $=15$
Black colour of the car liked by people $=20$
White colour of the car liked by people $=17$
Silver colour of the car liked by people $=12$
Other colour of the car liked by people $=9$
Hence, black colour of the car is the most liked.
(ii) Mode concept used in (i).

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Question 21 Mark

The scores in Mathematics test (out of 25) of 15 students is as follows
$
18,21,23,24,19,18,17,16,15,25,22,20,9,4,6 .
$
Find the median of this data.

Answer

For median, we have to arrange the given data in ascending order,
$
4,6,9,15,16,17,18,18,19,20,21,22,23,24,25
$
$\therefore$ Median $=$ Middle observation $=18$

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Question 31 Mark

Find the mode of the following weights (in kg ).
$
39,36,35,36,41,49,36
$

Answer

Given weights (in kg ) are $39,36,35,36,41,49$ and 36.
Mode is the most occurring observations.
Here, 36 kg occurs 3 times.
$\therefore$ Mode $=36 kg$

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Question 41 Mark

The scores in Mathematics test (out of 25 ) of 15 students is as follows
$
18,21,23,24,19,18,17,16,15,25,22,20,9,4,6 .
$
Find the median of this data.

Answer

For median, we have to arrange the given data in ascending order,
$
4,6,9,15,16,17,18,18,19,20,21,22,23,24,25
$
$\therefore$ Median $=$ Middle observation $=18$

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Question 51 Mark

Find the median of the following data
$
42,46,69,62,91,72,74
$

Answer

Given data, 42, 46, 69, 62, 91, 72, 74
Ascending order of the given data
$
\begin{array}{rr}
42,46,62,69,72,74,91 \\
\therefore \text { Median }=\text { Middle value }=69
\end{array}
$

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Question 61 Mark

Find the mode of the following weights (in kg ).
$
39,36,35,36,41,49,36
$

Answer

Given weights (in kg ) are $39,36,35,36,41,49$ and 36.
Mode is the most occurring observations.
Here, 36 kg occurs 3 times.
$\therefore$ Mode $=36 kg$

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Question 71 Mark

A cricketer's scores in 4 innings are $64,32,68,92$. Find the mean score.

Answer

Given, scores in 4 innings are $64,32,68$ and 92 .
Sum of scores $=64+32+68+92=256$
$
\text { Mean of scores }=\frac{\text { Total scores }}{\text { Number of innings }}=\frac{256}{4}=64
$

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