SOLUTION:
GOAL: You are being asked to find the mode for the given data set.
STRATEGY: Analyze the data and see what value occurs most often.
IMPLEMENTATION: In this case, the values of 5 and 8 occur three times.
Hence, the data has two modes. They are 5 and 8.
EVALUATION: The answer is obvious.
EXAMPLE:Find the mode for 56, 82, 34, 63, 68, and 72.
SOLUTION:
GOAL: You are being asked to find the mode for the given data set.
STRATEGY: Find the data value which occurs most often.
IMPLEMENTATION: In this case, each data value occurs only once.
Hence, we say that there is no mode.
Two things should be noted:- The mode of a data set can be a single value, more than one value, or
no value at all. - The mean, median, and mode for a data set, in most cases, will not
be equal.
In addition to the measures of average, statisticians also use measures
of variation to describe a data set. The two most often used measures of
variation are the range and the standard deviation. These measures measure
the spread of the data about the mean. Loosely speaking, the larger the range
or standard deviation, the more variable or spread out the data is in the set.
Therangeis found by subtracting the smallest data value from the largest
data value.
EXAMPLE:Find the range for 8, 15, 19, 24, and 14.
SOLUTION:
GOAL: You are being asked to find the range for the given data set.
LESSON 23 Word Problems in Statistics 279