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╢реНтАНрди
What is primary data?
Which of the two – the primary or the secondary data – is more reliable and why?
Explain the meaning of the term Class-integral.
Explain the meaning of the term Class-mark.
Explain the meaning of the term Frequency.
Explain the meaning of the term True class limits.
Explain the difference between a frequency distribution and a cumulative frequency distribution.
Find the mean, median and mode of the following data:
| Class | 0 – 10 | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 | 50 – 60 | 60 – 70 |
| Frequency | 4 | 4 | 7 | 10 | 12 | 8 | 5 |
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.
In a class test, 50 students obtained marks as follows:
| Marks obtained | 0 – 20 | 20 – 40 | 40 – 60 | 60 – 80 | 80 – 100 |
| Number of Students | 4 | 6 | 25 | 10 | 5 |
In a class test, 50 students obtained marks as follows:
In the following data, find the values of p and q. Also, find the median class and modal class.
| Class | Frequency (f) | Cumulative frequency (cf) |
| 100 – 200 | 11 | 11 |
| 200 – 300 | 12 | p |
| 300 – 400 | 10 | 33 |
| 400- 500 | Q | 46 |
| 500 – 600 | 20 | 66 |
| 600 – 700 | 14 | 80 |
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: Class mark
Class mark of a class is obtained by using ______.
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.
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 highest 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:
The Empirical relation between the three measures of central tendency is ______.
