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$M=₹ 863.64 P_{73}=₹ 994.32$
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The data on the profit of a company is as under. Present it by an appropriate diagram:
→| Year | $2010$ | $2011$ | $2012$ | $2013$ | $2014$ | $2015$ |
| Profit (crore $₹$) | $10$ | $5$ | $-2$ | $4$ | $8$ | $6$ |
The information regarding the production (in lakh ?) in a factory during five years is given below. Present it in a suitable diagram.
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 $800$ | $230$ |
The frequency distribution of monthly saving of $400$ persons is as follows :
Answer the following questions from the frequency distribution :
$(i)$ Find the midvalue of the third class.
$(ii)$ Find the lower boundry point of the open ended class.
$(iii)$ Find number of persons having the saving more than $₹ 1000$ and less than $₹ 4001$.
$(iv)$ Find the class length of the fourth class.
$(v)$ Find number of persons having the saving of $₹ 4000$ or less.
→| Saving $(₹)$ | $0-1000$ | $1001-2000$ | $2001-3000$ | $3001-4000$ | $4001-6000$ | $6001$ and more |
| No. of persons | $25$ | $40$ | $50$ | $150$ | $90$ | $45$ |
$(i)$ Find the midvalue of the third class.
$(ii)$ Find the lower boundry point of the open ended class.
$(iii)$ Find number of persons having the saving more than $₹ 1000$ and less than $₹ 4001$.
$(iv)$ Find the class length of the fourth class.
$(v)$ Find number of persons having the saving of $₹ 4000$ or less.
The frequency distribution of number of cheques received per day for clearing of $5$ branches of a bank on $100$ days in the year $2014$ is as follows. Find the coefficient of skewness by Bowley’s method using this distribution.
→The distribution of the share prices of a company on different days is given in the following table. Find the mode for the share prices using the graphical method.
The following table shows data about the distance travelled: (in km) by a salesman on different days. Find median, $Q_3, D_8, P_{62}$ and interpret them:
We obtain the cumulative frequency distribution for the given frequency distribution.
→| Distance travelled (km) | $0 – 100$ | $100 – 200$ | $200 – 300$ | $300 – 400$ | $400 – 500$ | $500 - 600$ |
| No. of days | $5$ | $18$ | $24$ | $7$ | $5$ | $1$ |
The time between placing an order and its delivery was noted for a certain wholesaler as follows. Find the mode for this time.
Find an appropriate measure of dispersion from the following data. Also find its relative measure.
→| Marks | Less than $10$ | $10 – 20$ | $20 – 30$ | $30 – 40$ | Above $40$ |
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