Advertisements
Advertisements
рдкреНрд░рд╢реНрди
If the median of `x/5,x/4,x/2,x and x/3`, where x > 0, is 8, find the value of x.
Hint Arranging the observations in ascending order, we have `x/5,x/4,x/3,x/2,x Median= x/3=8.`
рдЙрддреНрддрд░
Arranging the observations in ascending order, we have
`x/5,x/4,x/3,x/2,x`
ЁЭСЗтДОЁЭСвЁЭСа,ЁЭСбтДОЁЭСТ ЁЭСЪЁЭСТЁЭССЁЭСЦЁЭСОЁЭСЫ ЁЭСЦЁЭСа`x/3`
тЯ╣`x/3=8`
тЯ╣ ЁЭСе=3×8
тЯ╣ ЁЭСе=24
Thus, the value of x is 24.
APPEARS IN
рд╕рдВрдмрдВрдзрд┐рдд рдкреНрд░рд╢реНрди
Describe some fundamental characteristics of statistics.
What is primary data?
Explain the meaning of the term Class-integral.
Define cumulative frequency distribution.
A survey regarding the heights (in cm) of 50 girls of a class was conducted and the following data was obtained:
| Height in cm |
120 – 130 | 130 – 140 | 140 – 150 | 150 – 160 | 160 – 170 |
| No. of girls |
2 | 8 | 12 | 20 | 8 |
Find the mean, median and mode of the above data.
For a certain distribution, mode and median were found to be 1000 and 1250 respectively. Find mean for this distribution using an empirical relation.
Find the class marks of classes 10 -25 and 35 – 55.
While calculating the mean of a given data by the assumed-mean method, the following
values were obtained.
`A=25, sum f_i d_i=110, sum f_i= 50`
Find the mean.
The distribution X and Y with total number of observations 36 and 64, and mean 4 and 3 respectively are combined. What is the mean of the resulting distribution X + Y?
The observation 29, 32, 48, 50, x, x+2, 72, 78, 84, 95 are arranged in ascending order. What is the value of x if the median of the data is 63?
The median of 19 observations is 30. Two more observation are made and the values of these are 8 and 32. Find the median of the 21 observations taken together.
Hint Since 8 is less than 30 and 32 is more than 30, so the value of median (middle value) remains unchanged.
The monthly income of 100 families are given as below :
| Income in ( in тВ╣) | Number of families |
| 0-5000 | 8 |
| 5000-10000 | 26 |
| 10000-15000 | 41 |
| 15000-20000 | 16 |
| 20000-25000 | 3 |
| 25000-30000 | 3 |
| 30000-35000 | 2 |
| 35000-40000 | 1 |
Calculate the modal income.
Explain the meaning of the following terms: Variate
Explain the meaning of the following terms: True Class Limits
The times, in seconds, taken by 150 athletes to run a 110 m hurdle race are tabulated below:
| Class | 13.8 – 14 | 14 – 14.2 | 14.2 – 14.4 | 14.4 – 14.6 | 14.6 – 14.8 | 14.8 – 15.0 |
| Frequency | 2 | 4 | 5 | 71 | 48 | 20 |
The number of athletes who completed the race in less than 14.6 seconds is:
As the number of tosses of a coin increases, the ratio of the number of heads to the total number of tosses will be `1/2`. Is it correct? If not, write the correct one.
Find the range of given data: 46, 35, 78, 90, 20, 56, 45, 76.
The monthly pocket money of ten friends is given below:
тВ╣ 80, тВ╣ 65, тВ╣ 35, тВ╣ 65, тВ╣ 50, тВ╣ 30, тВ╣ 60, тВ╣ 35, тВ╣ 65, тВ╣ 30
What is the lowest pocket money?
The time, in seconds, taken by 150 athletes to run a 100 m hurdle race are tabulated below:
| Time (sec.) | 13 – 14 | 14 – 15 | 15 – 16 | 16 – 17 | 17 – 18 | 18 – 19 |
| Number of Athletes | 2 | 4 | 5 | 71 | 48 | 20 |
The number of athletes who completed the race in less than 17 seconds is:
