Question

1. september’s rainfall occurred on 14 days. how does this affect the data? (shade in the true responses) a the median increased and the mean decreased b the median increased and range remained unchanged. c the median decreased and the range remained unchanged. d the mode changed from no mode to 14, while the variation remained the same.

Explanation:

Step1: Analyze median concept

Median is middle - value. Without prior data, assume adding 14 (number of rainy days) can shift middle - value up if data is ordered, so median may increase.

Step2: Analyze range concept

Range is max - min. Adding 14 doesn't necessarily change max and min values related to rainfall data range, so range may remain unchanged.

Step3: Analyze other options

For mean, we don't know prior data to say it decreases. For mode, we don't know prior data to say it changes from no mode to 14. And variation is not necessarily the same.

Answer:

B. The median increased and range remained unchanged.