Question

Find mode of following table

Temperature (°C)	29	32.4	34.6	36.9	38.7	40
No. of days	7	2	6	4	8	3

Answer 1

Hint:The mode is the number that appears most frequently in a data set. A set of numbers may have one mode, more than one mode, or no mode at all.
When frequency is not given then To Find the mode it is best to put the numbers in order. A number that appears most often is the mode.
When frequency of data is given then Just check for highest frequency data. Data with the highest frequency is the mode.
Some examples
1. One mode. Example: \[\left\{ {1,3,3,4,6,9,11} \right\}\] 3 appears two times. So 3 is the mode.
2. More than one mode. Example : \[\left\{ {1,{\text{ }}3,{\text{ }}3,{\text{ }}3,{\text{ }}4,{\text{ }}4,{\text{ }}6,{\text{ }}6,{\text{ }}6,{\text{ }}9} \right\}\] . 3 appears three times, as does 6. So there are two modes: at 3 and 6 .Having two modes is called "bimodal".
3. No mode If no number in a set of numbers occurs more than once, that set has no mode: Example: \[\left\{ {1,{\text{ }}3,4,{\text{ }}6,9,11,12} \right\}\]

Complete step-by-step solution:
On considering the above explaination and examples -
Here the frequency of occurrence of data (temperature) is given and we know that mode is the date with maximum frequency i.e., number of days here in this question.
By observation we can see that $38.7^\circ C$ has maximum frequency i.e., 8.
So mode of above data are $38.7^\circ C$

Note:In statistics, the mode is the most commonly observed value in a set of data.
For the normal distribution, the mode is also the same value as the mean and median.
Where median is the observation occuring in the middle when data is arranged in ascending or descending order.
For example- 7, 9, 12, 13, 16 middle most number after arranging the given data in ascending order is 12 So median is 12.
And also we can easily calculate mean by using following formula
$Mean = \dfrac{{sum\,of\,observations}}{{total\,no.\,of\,observations}}$