Question 7

Match the following:
$\begin{matrix} (i) 425 \times 136 = 425 \times (6 + 30 + 100) & (a) C o m m u t a t i v i t y u n d e r m u l t i p l i c a t i o n (i i) 2 \times 48 \times 50 = 2 \times 50 \times 49 & (b) C o m m u t a t i v i t y u n d e r a d d i t i o n (i i i) 80 + 2005 + 20 = 80 + 20 + 2005 & (c) D i s t r i b u t i v i t y o f m u l t i p l i c a t i o n u n d e r a d d i t i o n \end{matrix}$

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Solution

$\begin{matrix} (i) 425 \times 136 = 425 \times (6 + 30 + 100) & (c) D i s t r i b u t i v i t y o f m u l t i p l i c a t i o n o v e r a d d i t i o n (i i) 2 \times 49 \times 50 = 2 \times 50 \times 49 & (a) C o m m u t a t i v i t y u n d e r m u l t i p l i c a t i o n (i i i) 80 + 2005 + 20 = 80 + 20 + 2005 & (b) C o m m u t a t i v i t y u n d e r a d d i t i o n \end{matrix}$

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Similar questions

Match the following:

(i) 425 × 136 = 425 × (6 + 30 + 100)

(a) Commutativity under multiplication

(ii) 2 × 49 × 50 = 2 × 50 × 49

(b) Commutativity under addition

(iii) 80 + 2005 + 20 = 80 + 20 + 2005

Q. Find the mean of the following distribution by Assumed Mean Method:

\begin{matrix} Class interval & Frequency 10 - 20 & 8 20 - 30 & 7 30 - 40 & 12 40 - 50 & 23 50 - 60 & 11 60 - 70 & 13 70 - 80 & 8 80 - 90 & 6 90 - 100 & 12 \end{matrix}

Calculate coefficient of correlation between age group and rate of mortality from the following data.

$\begin{matrix} A g e G r o u p & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 R a t e o f M o r t a l i t y & 350 & 280 & 540 & 760 & 900 \end{matrix}$

Q. Question 8
For the following distribution,

\begin{matrix} M a r k s & N u m b e r o f s t u d e n t s B e l o w 10 & 3 B e l o w 20 & 12 B e l o w 30 & 27 B e l o w 40 & 57 B e l o w 50 & 75 B e l o w 60 & 80 \end{matrix}

the modal class is
(a) 10 - 20
(b) 20 - 30
(c) 30 - 40
(d) 50 - 60

Q. Question 11
Size of agricultural holdings in a survey of 200 families is given in the following table

\begin{matrix} S i z e o f a g r i c u l t u r a l h o l d i n g s (i n h e c) & N u m b e r o f f a m i l i e s 0 - 5 & 10 5 - 10 & 15 10 - 15 & 30 15 - 20 & 80 20 - 25 & 40 25 - 30 & 20 30 - 35 & 5 \end{matrix}

Compute median and size of the holdings.

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Question 7 Match the following: (i) 425×136=425×(6+30+100)(a) Commutativity under multiplication(ii) 2×48×50=2×50×49(b) Commutativity under addition(iii) 80+2005+20=80+20+2005(c) Distributivity of multiplication under addition

(i) 425×136=425×(6+30+100)(c) Distributivity of multiplication over addition(ii) 2×49×50=2×50×49(a) Commutativity under multiplication(iii) 80+2005+20=80+20+2005(b) Commutativity under addition