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
Draw a histogram to represent the following grouped frequency distribution:
Ages (in years) Number of teachers $20-24$ $10$ $25-29$ $28$ $30-34$ $32$ $35-39$ $48$ $40-44$ $50$ $45-49$ $35$ $50-54$ $12$
| Ages (in years) | Number of teachers |
| $20-24$ | $10$ |
| $25-29$ | $28$ |
| $30-34$ | $32$ |
| $35-39$ | $48$ |
| $40-44$ | $50$ |
| $45-49$ | $35$ |
| $50-54$ | $12$ |
Medium
View SolutionDraw a frequency polygon for the following frequency distribution:
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ Frequency $6$ $4$ $10$ $12$ $5$
| Class | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ |
|---|---|---|---|---|---|
| Frequency | $6$ | $4$ | $10$ | $12$ | $5$ |
Medium
View SolutionThe following table shows a frequency distribution for the speed of cars passing through a particular spot on a highway:
Class interval $(km/h)$ Frequency $30-40$ $3$ $40-50$ $6$ $50-60$ $25$ $60-70$ $65$ $70-80$ $50$ $80-90$ $28$ $90-100$ $14$
Draw a histogram and a frequency polygon representing the data above.
| Class interval $(km/h)$ | Frequency |
|---|---|
| $30-40$ | $3$ |
| $40-50$ | $6$ |
| $50-60$ | $25$ |
| $60-70$ | $65$ |
| $70-80$ | $50$ |
| $80-90$ | $28$ |
| $90-100$ | $14$ |
Draw a histogram and a frequency polygon representing the data above.
Medium
View SolutionRepresent the following data by a bar graph:
Score Frequency $1$ $15$ $2$ $13$ $3$ $20$ $4$ $17$ $5$ $20$ $6$ $15$
| Score | Frequency |
|---|---|
| $1$ | $15$ |
| $2$ | $13$ |
| $3$ | $20$ |
| $4$ | $17$ |
| $5$ | $20$ |
| $6$ | $15$ |
Medium
View SolutionDraw a histogram for the following frequency distribution with unequal class length:
Class $0-5$ $5-10$ $10-20$ $20-30$ $30-50$ $50-70$ $70-100$ Frequency $6$ $8$ $14$ $16$ $24$ $20$ $30$
| Class | $0-5$ | $5-10$ | $10-20$ | $20-30$ | $30-50$ | $50-70$ | $70-100$ |
| Frequency | $6$ | $8$ | $14$ | $16$ | $24$ | $20$ | $30$ |
Medium
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