Question

answer the questions below.
(a) in a survey, a soft drink company asks people to name as many brands of soft drinks as they can.
which measure gives the most frequently mentioned brand?
mean
median
mode
(b) at a certain company, the 10 employees have the following weekly salaries:
$810, $830, $840, $850, $870, $880, $910, $940, $970, $980.
which measure should be used to summarize the data?
mean
median
mode
(c) in the past 9 days, ravi has received the following numbers of email advertisements per day:
40, 41, 42, 44, 45, 47, 48, 48, 88.
which measure should be used to summarize the data?
mean
median
mode

Explanation:

Part (a)

To find the most frequently mentioned brand, we need the measure that identifies the most common value (or category with highest frequency). The mode is the value that appears most often in a data set. For naming the most frequent brand, mode is appropriate as it shows the most recurring brand.

For weekly salaries (numerical data without extreme outliers or a need for most frequent), mean is a good measure to summarize the average salary. Mean is calculated as the sum of all values divided by the number of values, giving a central tendency of the salary data.

For the number of email advertisements (numerical data with no obvious mode and we can use mean to find the average number per day. Mean will give the central tendency by averaging the values, which is suitable here as there's no repeated value (so mode isn't useful) and median is also a measure but mean gives the average count.

Answer:

Mode

Part (b)