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Answer
$Q_1=5.69$ Years, $M=7.91$ Years, $Q_3=10.20$ Years, $j=0.02$ Positive Skewness
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The information of profits (in lakh $?$) of $50$ firms in the last year is given below. Find the standard deviation of the profit of the firms.
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Using this, find skewness and its coefficient by Karl Pearson's method. State the type of skewness.
→Using this, find skewness and its coefficient by Karl Pearson's method. State the type of skewness.
|
Consumption of cotton (thousand bales)
|
$0-2$ | $2-6$ | $6-12$ | $12-20$ | $20-22$ |
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No. of mills
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$3$ | $10$ | $7$ | $12$ | $3$ |
The weekly income (in $Rs$) of $40$ employees of a firm are as follows. Taking class length $15$ and mid value of one class $497.5$, prepare exclusive continuous frequency distribution.
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→$\text{163 148 151 162 145 152 149 158 153 149 150 152 145 141 162 168 148 158 149 141 146 155 159 150 161 153 162 160 154 165}$
$(i)$ Distribute these data into $6$ classes and also find the mid value of each class.
$(ii)$ Obtain ‘less than’ type cumulative frequency distribution.
$(iii)$ What is the percentage of persons having height less than $155 \ cm.$?
$(iv)$ Obtain ‘more than’ type cumulative frequency distribution.
$(v)$ How many persons have the height between $147$ to $157 \ cm.$?
The wheat crop grown per acre by farmers in different parts of a state is given below.
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A producer believes that the mode of his daily production is $70.$ The distribution of production from the data obtained after making some changes in the design of the produced units is as follows :
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Following data are obtained for two groups $G_{1}$ and $G_{2}$ Find combined mean and combined standard deviation.
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Group $G_{2}: n_{2}=30 ; \bar{x}_{2}=40 ; S_{2}^{2}=12$