Question

question #4
the annual rainfall for 30 cities is shown on the histogram below.
rainfall in cities
which of the following measurements could represent the smallest data point in the data set?
15.5
49.5
14.5
50.5

Explanation:

Step1: Analyze the histogram's first interval

The first interval on the histogram is \(15.00 - 22.00\). This means the data points in this interval are greater than or equal to \(15.00\) and less than \(22.00\).

Step2: Check each option

• For \(15.5\): \(15.00\leqslant15.5 < 22.00\), so it could be a data - point in the first interval.
• For \(49.5\): It would be in the \(43.00 - 50.00\) interval (if we assume intervals of width \(7\), \(15 - 22\), \(22 - 29\), \(29 - 36\), \(36 - 43\), \(43 - 50\)). But we are looking for the smallest data point.
• For \(14.5\): \(14.5<15.00\), so it is not in the first interval (since the first interval starts at \(15.00\)).
• For \(50.5\): \(50.5 > 50.00\), so it is outside the range of the histogram.

Answer:

\(15.5\)