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$M=₹ 863.64 P_{73}=₹ 994.32$
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The following is a distribution of closing prices (in $Rs.$) of shares of $100$ different small scale industries on a certain day. Find the mean deviation of the closing prices of shares.
→| Price $(Rs.)$ | $0 – 10$ | $10 – 20$ | $20 – 30$ | $30 – 40$ | $40 – 50$ | $50 – 60$ | $60 – 70$ | $70 – 80$ | $80 - 90$ |
| No.of industries | $3$ | $8$ | $15$ | $20$ | $25$ | $10$ | $9$ | $6$ | $4$ |
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→The monthly consumption of cotton (in thousand bales) of $35$ cloth mills is as follows.
Using this, find skewness and its coefficient by Karl Pearson's method. State the type of skewness.
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Consumption of cotton (thousand bales)
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$0-2$ | $2-6$ | $6-12$ | $12-20$ | $20-22$ |
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No. of mills
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$3$ | $10$ | $7$ | $12$ | $3$ |
The following table gives ages of $80$ students selected from a college.
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Age (years)
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$17$ | $18$ | $19$ | $20$ | $21$ | $22$ | $23$ |
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Find median age. Also find $Q1,DA,P32$ for age and interpret them.
Marks obtained by $50$ students in a test of $50$ marks are as follows :
$\text{16 18 27 31 43 25 28 30 29 15}$
$\text{20 27 31 34 39 41 22 28 31 16}$
$\text{21 29 38 24 30 24 26 17 30 22}$
$\text{28 35 23 18 24 32 37 27 32 38}$
$\text{19 25 33 25 29 25 34 45 26 24}$
$(i)$ From these data, prepare a frequency distribution by taking class length $5$ .
$(ii)$ Obtain 'less than' and 'more than' type cumulative frequency distribution.
$(iii)$ If standard of passing is $20$ marks, then how many students have failed ?
$(iv)$ If at least $30$ marks are required to get first class, find the number of students in this category.
→$\text{16 18 27 31 43 25 28 30 29 15}$
$\text{20 27 31 34 39 41 22 28 31 16}$
$\text{21 29 38 24 30 24 26 17 30 22}$
$\text{28 35 23 18 24 32 37 27 32 38}$
$\text{19 25 33 25 29 25 34 45 26 24}$
$(i)$ From these data, prepare a frequency distribution by taking class length $5$ .
$(ii)$ Obtain 'less than' and 'more than' type cumulative frequency distribution.
$(iii)$ If standard of passing is $20$ marks, then how many students have failed ?
$(iv)$ If at least $30$ marks are required to get first class, find the number of students in this category.
Putting $x=2$ in the expansion of $(1+x)^{4}$ verify both side.
→The information of number of mobiles phones sold in last $35$ days in a mobile shop is given below. Find the co-efficient of standard deviation of number of mobile phones sold. (Use short-cut method).
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The earning of a shopkeeper (in complete rupees) for $30$ days are as under. Taking the initialclass $8000-8099$, prepare a frequency distribution.
$8200,8370,8180,8425,9030,8075,8700,8520,8875$, $8699,8280,8100,8368,8545,8785,8199,8435,9000,8650$, $8380,8075,8600,8760,8825,8990,9050,8340,8180$, $8290,8585 .$
→$8200,8370,8180,8425,9030,8075,8700,8520,8875$, $8699,8280,8100,8368,8545,8785,8199,8435,9000,8650$, $8380,8075,8600,8760,8825,8990,9050,8340,8180$, $8290,8585 .$
Information regarding the annual expense on different particulars of two middle class families is given below. Draw a pic diagram for the data.
