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प्रश्न
In a frequency distribution table with 12 classes, the class-width is 2.5 and the lowest class boundary is 8.1, then what is the upper class boundary of the highest class?
उत्तर
Upper class boundary = Lowest class boundary + width × number of classes
= 8.1 + 2.5×12
= 8.1 + 30
= 38.1
Thus, upper class boundary of the highest class is 38.1.
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संबंधित प्रश्न
What do you understand by the word “statistics” in
(i) Singular form
(ii) Plural form?
Describe some fundamental characteristics of statistics.
Explain the meaning of the term Class-size.
Explain the meaning of the term Frequency.
Explain the meaning of the term True class limits.
Find the mean, median and mode of the following data:
| Class | 0 – 50 | 50 – 100 | 100 – 150 | 150 – 200 | 200 – 250 | 250 – 300 | 300 - 350 |
| Frequency | 2 | 3 | 5 | 6 | 5 | 3 | 1 |
The following table gives the daily income of 50 workers of a factory:
| Daily income (in Rs) | 100 – 120 | 120 – 140 | 140 – 160 | 160 – 180 | 180 – 200 |
| No. of workers | 12 | 14 | 8 | 6 | 10 |
Find the mean, median and mode of the above data.
The table below shows the daily expenditure on food of 30 households in a locality:
| Daily expenditure (in Rs) | Number of households |
| 100 – 150 | 6 |
| 150 – 200 | 7 |
| 200 – 250 | 12 |
| 250 – 300 | 3 |
| 300 – 350 | 2 |
Find the mean and median daily expenditure on food.
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:
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?
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.`
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 |
Define primary data and secondary data.
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:
The monthly pocket money of ten friends is given below :
₹ 80, ₹ 65, ₹ 35, ₹ 65, ₹ 50, ₹ 30, ₹ 60, ₹ 35, ₹ 65, ₹ 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 ______.
