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$Q_1=48 kg , M=52 kg , Q_3=54 kg , j=-0.33$
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From the following data state which frequency distribution is close to symmetry.:
Frequency distribution $\mathrm{A}: \bar{x}=40, M=44, S=15$
Frequency distribution $\mathrm{B}: x=40, M=45, s=16$
→Frequency distribution $\mathrm{A}: \bar{x}=40, M=44, S=15$
Frequency distribution $\mathrm{B}: x=40, M=45, s=16$
If the weekly income (in $Rs$ ) of $10$ persons are as follows, then
$(1)$ What percentage of persons whose weekly income are included in the range $\bar{x} \pm s ?$
$(2)$ What percentage of persons whose weekly income are included in the range $\bar{x} \pm 2 s$ ?
$350,327,320,385,360,340,380,345,400,372$
→$(1)$ What percentage of persons whose weekly income are included in the range $\bar{x} \pm s ?$
$(2)$ What percentage of persons whose weekly income are included in the range $\bar{x} \pm 2 s$ ?
$350,327,320,385,360,340,380,345,400,372$
Obtain the values using binomial expansion: $(\sqrt{2}+$ 1) $^{6}+(\sqrt{2}-1)^{6}$
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→The total cost function for a factory is $y = 10 + 3x$ where $x = No$. of units produced and $y =$ total cost of producing $x$ units. The range, the quartile deviation, the mean deviation and standard deviation of daily production of the factory are $50, 5, 8$ and $10$ units respectively. Find the range quartile deviation mean deviation and standard deviation for total cost y from it.
→| Mid values |
$25$
|
$105$
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$230$
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$400$
|
$650$
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$900$
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Total
|
|
Frequency
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$10$
|
$30$
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$40$
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$60$
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$80$
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$30$
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$250$
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Class length
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$50$
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$110$
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$140$
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$200$
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$300$
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$200$
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Find the values of the following :
$(1)$ ${ }^{8} \mathrm{C}_{3}$
$(2)$ ${ }^{20} \mathrm{C}_{3}$
$(3)$ ${ }^{5} \mathrm{C}_{4}$
$(4)$ ${ }^{6} \mathrm{C}_{6}$
→$(1)$ ${ }^{8} \mathrm{C}_{3}$
$(2)$ ${ }^{20} \mathrm{C}_{3}$
$(3)$ ${ }^{5} \mathrm{C}_{4}$
$(4)$ ${ }^{6} \mathrm{C}_{6}$
Obtain the middle term in the expansion of $\left(2 x+\frac{3}{x}\right)^{4}$
→Discuss advantages and disadvantages of questionnaire by enumerators.
State the difference between primary and secondary data.