Question

In: Statistics and Probability

Consider the following data. 15,−4,−10,8,14,−10,−2,−11 Step 1 of 3: Determine the mean of the given data...

Consider the following data. 15,−4,−10,8,14,−10,−2,−11

Step 1 of 3: Determine the mean of the given data

Step 2 of 3: Determine the median of the given data.

Step 3 of 3: Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.

Separate multiple modes with commas, if necessary.

Expert Solution

Step 1: Mean value is

Step 2:

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

2 4 8 10 10 11 14 15

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

Median=

3. The mode of a set of data is the value in the set that occurs most often.

Ordering the data from least to greatest, we get:

2 4 8 10 10 11 14 15

We see that the mode is 10 .

Hence it is unimodal.

orchestra answered 2 years ago

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