The lowest daily temperature in a city over three weeks is shown in the following table.

Does this data have a mode? If so, what is it?

Yes. Mode is 3.

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Yes. Mode is 1.

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No.

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(a) and (b) above.

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Solution

The correct option is A Yes. Mode is 3.
The mode is the most popular value(s) or thing(s) that occur(s) in a data set.

Temperatures are numerical data. Hence, these data points can be clumped together and arranged in an ascending order to find the mode.
Temperature $($ $^{\circ}$ C $)$ Frequency

0 3

1 4

2 3

3 5

4 2

5 3

6 1

It is inferred that temperature drops to $3^{\circ}$ in the most number of days, i.e., 5.

$∴$ Mode = $3^{\circ}$ C

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\begin{matrix} Days & M o n . & T u e . & W e d . & T h u r . & F r i . & S a t . & S u n . Max.Temp.(in °C) & 34 & 35 & 37 & 38 & 41 & 39 & 36 \end{matrix}

\begin{matrix} 30.6, & 31.5, & 32.9, & 33.2, & 31.6, & 30.3, & 34.7, & 35.0, & 32.5, & 33.5, \\ 34.2, & 36.9, & 32.1, & 31.0, & 29.2, & 29.0, & 28.1, & 28.5, & 32.9, & 29.3, \\ 30.2, & 31.4, & 30.0, & 32.0, & 32.2, & 33.0, & 32.5, & 33.9, & 34.5, & 35.5 . \end{matrix}

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