Question
✓
Answer
$\bar{x}=10.02$ units, $s=9.99$ units, Coefficient of Variation $=99.70 \%$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A sample of $50$ screws was taken from the lots of screws Produced at a factory to measure the diameter (in $mm$) of head of each screw and its frequency distribution is as follows. Find Bowley’s coefficient of skewness and interpret it.
→| Diameter of head of screw $(mm)$ | $4 – 4.1$ | $4 – 4.2$ | $4 – 4.3$ | $4 – 4.4$ | $4 – 4.5$ | $4 – 4.6$ | $4 – 4.7$ | $4 – 4.8$ |
| No. of screws | $6$ | $13$ | $23$ | $33$ | $41$ | $46$ | $48$ | $50$ |
The following distribution shows purchase of $T$ – shirts by $270$ customers according to the shoulder lengths (in inches). Find Pearson’s coefficient of skewness from these data and interpret it.
| Shoulder length of $T$ –shirts (inches) | $12.0$ | $12.5$ | $13.0$ | $13.5$ | $14.0$ | $14.5$ | $15.0$ | $15.5$ | $16.0$ |
| No. of customers | $5$ | $20$ | $30$ | $47$ | $56$ | $56$ | $37$ | $16$ | $3$ |
The following data indicate records of hospital stays (in days) of $30$ patients admitted to hospital: $1,10,2,6,3,4,15,1,5,9,2,4,3,1,10,7,3,5,4,2,4,8,5,3$, $1,9,6,2,3,7$ Find the median of stay. Further convert this information in a continuous frequency distribution (inclusive type) by taking classes of equal length starting from $1-3 .$ Find the median from the frequency distribution and compare it with your earlier answer.
→
The following results are obtained on the basis of daily wages (in ?) paid to workers of two firms $A$ and $B$ :
Answer the following questions using the above information.
$1.$ Which firm is paying more total daily wages to their workers ?
$2.$ Determine which firm shows more relative variation in wages paid to its workers.
$3.$ Find the combined mean and combined standard deviation for the two firms.
→Answer the following questions using the above information.
$1.$ Which firm is paying more total daily wages to their workers ?
$2.$ Determine which firm shows more relative variation in wages paid to its workers.
$3.$ Find the combined mean and combined standard deviation for the two firms.
The data related to variations in the price of a share for $30$ days in a share market are as under. Prepare an exclusive continuous of one of classification having class limits the classes as $18.5-20.5$.
$10.50,14.70,17.20,15.20,19.20,15.80,19.30$, $18.40,18.70,14.90,18.50,16.90,12.50,13.60,12.50$, $18.50,14.00,16.20,13.30,3.30,17.6020 .2014 .50$, $20.80,14.50,20.50,10.50,18.60,18.60,14.90$
On the basis of this frequency distribution, answer the following questions:
$(1)$ What is mid value of the 4 th class?
$(2)$ Find the number of days during which the price of share is at the most $Rs. 16.50$.
$(3)$ Find the number of days during which the price of share is at least $Rs. 19.50$.
→$10.50,14.70,17.20,15.20,19.20,15.80,19.30$, $18.40,18.70,14.90,18.50,16.90,12.50,13.60,12.50$, $18.50,14.00,16.20,13.30,3.30,17.6020 .2014 .50$, $20.80,14.50,20.50,10.50,18.60,18.60,14.90$
On the basis of this frequency distribution, answer the following questions:
$(1)$ What is mid value of the 4 th class?
$(2)$ Find the number of days during which the price of share is at the most $Rs. 16.50$.
$(3)$ Find the number of days during which the price of share is at least $Rs. 19.50$.
The following data gives the age (in complete years) of $50$ females who committed suicide. Prepare a suitable continuous frequency distribution by taking $9$ classes.
$16,24,20,22,34,40,15,23,31,21,22,24,36,31,21,17,20$, $25,22,23,26,16,18,21,19,52,30,20,27,46,16,21,31,40$, $36,25,24,19,23,21,20,42,43,38,22,24,19,17,21,19 .$
→$16,24,20,22,34,40,15,23,31,21,22,24,36,31,21,17,20$, $25,22,23,26,16,18,21,19,52,30,20,27,46,16,21,31,40$, $36,25,24,19,23,21,20,42,43,38,22,24,19,17,21,19 .$
Putting $x=2$ in the expansion of $(1+x)^{4}$ verify both side.
→Find the skewness and coefficient of skewness by Karl Pearson’s method from the following data about annual tax of $100$ companies.
→