Statistics

Thirty students in a class went to cricket match. The results are recording in groups as follows$:$ Calculate the value mode for the foolowing data. (choose your answer to $2$ decimal places) Over $1-5$ $5-9$ $9-13$ $13-17$ $17-21$ $21-25$ $25-29$ Runs $0$ $2$ $4$ $10$ $3$ $11$ $0$

The percentage of marks obtained by the students in a class of $50$ are given below. Find the mean for the following data. Marks$(\%)$ $40-50$ $50-60$ $60-70$ $70-80$ $80-90$ $90-100$ Number of students $6$ $12$ $14$ $8$ $6$ $4$

The mean of $27$ observations of a variable is $18$. Three more observations are made and the values of these observations are $16,18$ and $50$. What is the mean of these $30$ observations?

The mean marks scored by $40$ students were found to be $60$. Later it was observed that a score of $48$ was misread as $84$. Then the correct mean is __________.

Class 0-10 10-20 20-30 30-40 40-50 Frequency 5 $x$ 15 16 6 The missing frequency marked $\displaystyle x$ of the above distribution whose mean is 27 is :

A survey was conducted to identify vegetarians in a group of people. Find the mode of the data. Group $5-7$ $7-9$ $9-11$ $11-13$ $13-15$ $15-17$ Frequency $6$ $7$ $3$ $7$ $12$ $9$

The mean weight of $60$ students in a class is $40$ kg. The mean weight of boys is $50$ kg while that of the girls is $30$ kg. The number of boys and girls respectively are ___________.

In a colony, the mean age of all the males is $15$ years, and the mean age of all females is $19$ years. Find the condition that must be true about the mean age $m$ of the combined group of male and female in colony.

The mean of the data set comprising go 16 obser vations is 16.If one of and three new observations valued 3,4 and 5 are added to the data, then

In a class test, in mathematics, $10$ students scored $75$ marks, $12$ students scored $60$ marks, $8$ scored $40$ marks and $3$ scored $30$ marks. The mean of their score is (approximately) _________.