Sample QuestionsStatistics questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Explain the meaning of the following terms: Frequency
Explain the meaning of the following terms: Class mark
Explain the meaning of the following terms: Variate
Individual scores of a school cricket eleven in a match are given below:$10, 9, 31, 45, 0, 4, 8, 15, 12, 0, 6.$Find the average score.
View full solution →A boy scored the following marks in various class tests during a terminal exam, each test being marked out of $20.17, 15, 16, 7, 10, 14, 12, 19, 16, 12$ Find his average mean marks.
View full solution →The weight of the seven members of a family, in kilograms are given below:$20, 52, 56, 72, 64, 13, 80.$Find mean weight.
View full solution →Find the median of the following sets of numbers$.15, 8, 14, 20, 13, 12, 16$
View full solution →The mean of $16$ natural numbers is $48.$ Find the resulting mean, if each of the number is multiplied by $4.$
View full solution →If the mean of $7, 16, 9, 15, 16, a, 12, 8, b, 11$ is $12,$ write a in terms of $b.$
View full solution →The height of $8$ students $X$ in centimetres are given below:$148, 162, 160, 154, 170, 162, x, 152.$If the mean height is $158,$ find $x.$
View full solution →The marks obtained by $10$ students are listed below:$2, 5, 3, 8, 0, 9, x, 6, 1, 8.$If the mean marks is $5,$ find $x.$
View full solution →The daily maximum relative humidity $($in percent$)$ in Mumbai from May $1$ to May $7, 1992$ is given below: $64, 70, 65, 80, 75, 78.$Find the mean.
View full solution →A boy scored the following marks in various class tests during a term, each test being marked out of $20.15, 17, 16, 7, 10, 12, 14, 16, 19, 12, 16.$What is his median marks?
View full solution →The following data has been arranged in ascending order.$0, 1, 2, 3, x + 1, x + 5, 20, 21, 26, 29.$Find the value of $x,$ if the median is $5.$
View full solution →$3, 8, 10, x, 14, 16, 18, 20$ are in the ascending order and their median is $13.$ Calculate the numerical value of $x.$
View full solution →Calculate the median of the following sets of number:$1, 9, 10, 8, 2, 4, 4, 3, 9, 1, 5, 6, 2$ and $4.$
View full solution →Find the median of the following sets of numbers.$25, 11, 15, 10, 17, 6, 5, 12.$
View full solution →The runs scored by a cricket player in the last $30$ innings are:$75, 125, 36, 89, 154, 56, 12, 28, 96, 142, 78, 54, 30, 88, 116, $$104, 55, 84, 10, 29, 31, 08, 24, 136, 117, 22, 99, 80, 112, 35.$Arrange these scores in an ascending order and answer the following:
- Find the highest score.
- Find the number of centuries scored by him.
- Find the number of times he scored over $50.$
- Find the number of times he failed to score a $50.$
View full solution →Calculate man of the following: $4, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9, 9, 11, 3$
View full solution →Construct a frequency distribution table from the given cumulative frequency distribution showing the weights of $750$ students in a school:
| Weight $($in $kg)$ |
$c.f.$ |
| More Than$ 25$ |
$750$ |
| More Than $30$ |
$640$ |
| More Than $35$ |
$615$ |
| More Than $40$ |
$485$ |
| More Than $45$ |
$370$ |
| More Than $50$ |
$220$ |
| More Than $55$ |
$124$ |
| More Than $60$ |
$49$ |
| More Than $65$ |
$24$ |
| More Than $70$ |
$0$ |
$a$. Find the number of students whose weight lie in the interval $40-45;b$. Find the interval which has the most number of students. View full solution →From the cumulative frequency distribution given below, construct a frequency distribution table:
| Marks |
$c.f.$ |
| Less than $10$ |
$10$ |
| Less than $20$ |
$18$ |
| Less than $30$ |
$32$ |
| Less than $40$ |
$45$ |
| Less than $50$ |
$50$ |
View full solution →The electricity bills of $45$ houses in a particular locality are given below. Tabulate the given data and present it as a cumulative frequency table with one of the classes being $300 - 450:784, 567, 890, 231, 150, 458, 356, 762, 386, 824, 525, 663, 724, 841, $$315, 641, 156, 715, 156, 317, 814, 547, 879, 456, 463, 664, 175, 584, 515, 487, 871, 511, 522, 454, 247, $$819, 412, 326, 445, 311, 321, 545, 344, 266, 351.$
View full solution →The table given below shows the ages of patients being treated in a hospital. Construct a cumulative frequency distribution table for the same:
| Age |
No. of patients |
| $10 - 20$ |
$90$ |
| $20 - 30$ |
$50$ |
| $30 - 40$ |
$60$ |
| $40 - 50$ |
$80$ |
| $50 - 60$ |
$50$ |
| $60 - 70$ |
$30$ |
View full solution →