Consider the data $: 2, 3, 9, 16, 9, 3, 9$. Since $16$ is the highest value in the observations,is it correct to say that it is the mode of the data? Give reason.
(B) $16$ is not the mode of the data. The mode of a given data is the observation with the highest frequency,not the observation with the highest value. In the given data,the frequency of $9$ is $3$,which is the highest frequency. Therefore,the mode of the data is $9$.
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Similar Questions
The information regarding the marks scored by $30$ students in a $50$ marks test is given below:
Marks $(x_{i})$ $15$ $22$ $28$ $31$ $35$ $40$ $44$ $46$ Number of students $(f_{i})$ $2$ $3$ $5$ $6$ $6$ $4$ $3$ $1$
Find the mean of the data.
| Marks $(x_{i})$ | $15$ | $22$ | $28$ | $31$ | $35$ | $40$ | $44$ | $46$ |
| Number of students $(f_{i})$ | $2$ | $3$ | $5$ | $6$ | $6$ | $4$ | $3$ | $1$ |
Find the mean of the data.
Medium
View SolutionIf the mean of $18, 2x, 27, 12, 3x, 5x$ and $21$ is $24,$ then find $x$.
Easy
View SolutionBelow is the distribution of "more than" type of marks obtained by $50$ students in a $100$ marks examination. Prepare the grouped frequency distribution from that.
Obtained marks No. of Students $0$ or more than $0$ $50$ $20$ or more than $20$ $48$ $40$ or more than $40$ $40$ $60$ or more than $60$ $31$ $80$ or more than $80$ $10$
| Obtained marks | No. of Students |
| $0$ or more than $0$ | $50$ |
| $20$ or more than $20$ | $48$ |
| $40$ or more than $40$ | $40$ |
| $60$ or more than $60$ | $31$ |
| $80$ or more than $80$ | $10$ |
Medium
View SolutionThe following is the distribution of the number of employees working on different floors of the six-storey commercial complex:
Floor $1$ $2$ $3$ $4$ $5$ $6$ Number of employees $51$ $48$ $42$ $44$ $48$ $32$
Represent the information above by a bar graph.
| Floor | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ |
| Number of employees | $51$ | $48$ | $42$ | $44$ | $48$ | $32$ |
Represent the information above by a bar graph.
Medium
View SolutionObtain the mean of the following distribution:
Frequency $(f_i)$ Variable $(x_i)$ $4$ $4$ $8$ $6$ $14$ $8$ $11$ $10$ $3$ $12$
| Frequency $(f_i)$ | Variable $(x_i)$ |
| $4$ | $4$ |
| $8$ | $6$ |
| $14$ | $8$ |
| $11$ | $10$ |
| $3$ | $12$ |
Medium
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