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Coefficient of Variation $=52.05 \%$
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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.
$8200,8370,8180,8425,9030,8075,8700,8520,8875$, $8699,8280,8100,8368,8545,8785,8199,8435,9000,8650$, $8380,8075,8600,8760,8825,8990,9050,8340,8180$, $8290,8585 .$
→$8200,8370,8180,8425,9030,8075,8700,8520,8875$, $8699,8280,8100,8368,8545,8785,8199,8435,9000,8650$, $8380,8075,8600,8760,8825,8990,9050,8340,8180$, $8290,8585 .$
The data on retail price of a commodity for $50$ days are as follows. Classify the data iaking class length $1$ and the mid value of initial class $12.5$ into an appropriate continuous frequency distribution. (Price is per $kg$ in ).
$\text{13.25,14.20,13.75,14.10,14.00,12.85,13.40,14.20,15.30$, $15.40,16.10,15.80,15.60,15.10,14.85,14.75,15.25,16.45}$, $\text{16.40,16.55,17.10,16.90,16.80,17.00,16.40,16.50,16.60$, $16.65,16.70,16.85,17.00,17.25,17.50,17.45,17.60,17.75}$, $\text{17.40,17.35,17.45,17.50,17.60,17.50,17.65,17.25,18.10$, $17.00,17.20,17.50,17.80,17.90 .}$
→$\text{13.25,14.20,13.75,14.10,14.00,12.85,13.40,14.20,15.30$, $15.40,16.10,15.80,15.60,15.10,14.85,14.75,15.25,16.45}$, $\text{16.40,16.55,17.10,16.90,16.80,17.00,16.40,16.50,16.60$, $16.65,16.70,16.85,17.00,17.25,17.50,17.45,17.60,17.75}$, $\text{17.40,17.35,17.45,17.50,17.60,17.50,17.65,17.25,18.10$, $17.00,17.20,17.50,17.80,17.90 .}$
Find range, coefficient of range, quartile deviation, coefficient of quartile deviation, mean deviation and coefficient of mean deviation from the following data of number of emergency visits of $80$ doctors to their patients in a town :
| No. of visits | $3$ | $5$ | $8$ | $12$ | $17$ | $20$ | $24$ | $30$ | $35$ |
| No. of doctors | $1$ | $3$ | $7$ | $15$ | $20$ | $13$ | $10$ | $7$ | $4$ |
From the following frequency distribution of different youngsters exercising in a gymnasium.
Find coefficient of skewness by Bowley’s method and state the type of skewness :
→Find coefficient of skewness by Bowley’s method and state the type of skewness :
| Age (years) | $25$ | $17$ | $20$ | $18$ | $26$ | $22$ | $28$ | $23$ |
| No. of youngsters | $22$ | $4$ | $19$ | $11$ | $7$ | $9$ | $3$ | $8$ |
The average daily wage of workers of a factory is $Rs. 22.80$. It is $Rs. 25.40$ for the workers of another factory. If the combined average of daily wage of both the factories Is $Rs\ 24$ , find the proportion of workers in both the factories.
→The observations of a data are obtained as follows. Prepare a frequency distribution using these data such that class length is $5$ and one of the classes is $30-34$.
$33,35,37,35,34,36,45,42,37,35,34,33,45,46,37,20,21$, $46,44,45,29,27,28,26,54,47,22,33,32,32,41,41,23,31$, $41,23,21,39,23,33,42,41,33,38,36,40,36,38,24,27 .$
→$33,35,37,35,34,36,45,42,37,35,34,33,45,46,37,20,21$, $46,44,45,29,27,28,26,54,47,22,33,32,32,41,41,23,31$, $41,23,21,39,23,33,42,41,33,38,36,40,36,38,24,27 .$
For two groups $T_{1}$ and $T_{2}$, taking $A =25$ the following information are obtained:
Group $T_{1}: n_{1}=10 ; \sum d=30 ; \sum d^{2}=12340$
Group $T_{2}: n_{2}=20 ; \sum d=-20 ; \sum d^{2}=24520$
→Group $T_{1}: n_{1}=10 ; \sum d=30 ; \sum d^{2}=12340$
Group $T_{2}: n_{2}=20 ; \sum d=-20 ; \sum d^{2}=24520$
Write a short note on one dimensional diagrams.
The information of daily wages (in $Rs.$) of $230$ workers of a factory is given below. Calculate the coefficient of variation from the following data for the daily wages of workers :
→| Daily wages $(Rs)$ | No. of workers |
| Less than $100$ | $12$ |
| Less than $200$ | $30$ |
| Less than $300$ | $65$ |
| Less than $400$ | $107$ |
| Less than $500$ | $157$ |
| Less than $600$ | $202$ |
| Less than $700$ | $222$ |
| Less than $800$ | $230$ |
Obtain an inclusive continuous frequency distribution from the following data :
→| Lower Boundary Point or more | $44.5$ | $49.5$ | $54.5$ | $59.5$ | $64.5$ | $69.5$ | $74.5$ | $79.5$ | - |
| Cumulative Frequency | $500$ | $470$ | $390$ | $290$ | $240$ | $90$ | $10$ | $0$ | - |