What is the mean of the following frequency distribution ?
x 5 7 8 9 12
y 2 1 5 4 3

\frac{10 \times 7 \times 40 \times 36 \times 36}{2 + 1 + 5 + 4 + 3}

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\frac{5 + 7 + 8 + 9 + 12}{2 + 1 + 5 + 4 + 3}

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\frac{(5 + 7 + 8 + 9 + 12) - (2 + 1 + 5 + 4 + 3)}{(5 + 7 + 8 + 9 + 12) + (2 + 1 + 5 + 4 + 3)}

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\frac{5 \times 2 + 7 \times 1 + 8 \times 5 + 9 \times 4 + 12 \times 3}{2 + 1 + 5 + 4 + 3}

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Solution

The correct option is D $\frac{5 \times 2 + 7 \times 1 + 8 \times 5 + 9 \times 4 + 12 \times 3}{2 + 1 + 5 + 4 + 3}$
Mean $= \frac{\sum f x}{\sum f}$
$= \frac{5 \times 2 + 7 \times 1 + 8 \times 5 + 9 \times 4 + 12 \times 3}{2 + 1 + 5 + 4 + 3}$

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Similar questions

Fill in the blanks:

$(i) - 4 \times \frac{7}{9} = \frac{7}{9} \times$ ___

$(i i) \frac{5}{11} \times \frac{- 3}{8} = \frac{- 3}{8} \times$ ___

$(i i i) \frac{1}{2} \times (\frac{3}{4} + \frac{- 5}{12}) = \frac{1}{2} \times$ ____ $+ (\times) \frac{- 5}{12}$

$(i v) \frac{- 4}{5} \times \frac{5}{7} \times$ ___ $= (\frac{- 4}{5} \times \frac{5}{7}) \times \frac{- 8}{9}$

Evaluate :

$(i) \frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9} (i i) \frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5} (i i i) \frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{9} (i v) \frac{3}{8} + \frac{- 5}{12} + \frac{3}{7} + \frac{3}{12} + \frac{- 5}{8} + \frac{- 2}{7}$

Re-arrange suitably and find the sum in each of the following :

(i) $\frac{11}{12} + \frac{- 17}{3} + \frac{11}{2} + \frac{- 25}{2}$

(ii) $\frac{- 6}{7} + \frac{- 5}{6} + \frac{- 4}{9} + \frac{- 15}{7}$

(iii) $\frac{3}{5} + \frac{7}{3} + \frac{9}{5} + \frac{- 13}{15} + \frac{- 7}{3}$

(iv) $\frac{4}{13} + \frac{- 5}{8} + \frac{- 8}{13} + \frac{9}{13}$

(v) $\frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5}$

(vi) $\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{7}{12} + \frac{9}{7} + \frac{- 5}{16}$

Q. Study the following number line and answer the questions that follow.
2 5 9 1 7 2 5 1 9 7 3 9 5 2 4 6 8 1 9 7 5 2 7 3 1 9 7 8 5 2 6 5 4 1 9 7 8 2 0 1 0 9 7 8 5 1 9 7 3 5 1 6 9 7 2 1 7 3 7 9 5 1

How many times is number 5 followed by 1 or 2, but not preceded by 8 ?

Q. Study the following number line and answer the questions that follow.
2 5 9 1 7 2 5 1 9 7 3 9 5 2 4 6 8 1 9 7 5 2 7 3 1 9 7 8 5 2 6 5 4 1 9 7 8 2 0 1 0 9 7 8 5 1 9 7 3 5 1 6 9 7 2 1 7 3 7 9 5 1

How many times is number '3' preceded by number '7' and not followed by an even number?

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What is the mean of the following frequency distribution ?x578912y21543

The correct option is D 5×2+7×1+8×5+9×4+12×32+1+5+4+3Mean=∑fx∑f =5×2+7×1+8×5+9×4+12×32+1+5+4+3

What is the mean of the following frequency distribution ?
x 5 7 8 9 12
y 2 1 5 4 3

The correct option is D $\frac{5 \times 2 + 7 \times 1 + 8 \times 5 + 9 \times 4 + 12 \times 3}{2 + 1 + 5 + 4 + 3}$
Mean $= \frac{\sum f x}{\sum f}$
$= \frac{5 \times 2 + 7 \times 1 + 8 \times 5 + 9 \times 4 + 12 \times 3}{2 + 1 + 5 + 4 + 3}$