Listed below are the durations (in hours) of a simple random sample of all right

Question

Listed below are the durations (in hours) of a simple random sample of all rights of a space shuffle. Find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data, is a duration time that is very unusual? How might that duration time be explained? 73 91 238 195 164 266 186 373 263 238 378 331 222 243 0 a. The mean is hours. b. The median is hours. c. Select the correct choice below and fill in any answer boxes in your choice. A. The mode is hours. (Use a comma to separate answers as needed. Round to one decimal place as needed) B. There is no mode. d. The midrange is hours.

Explanation / Answer

Solution:-

a). The mean of a data set is the sum of the terms divided by the total number of terms.

Mean=Sum of terms / Number of terms

In this example:

Sum of terms = 73 + 91 + 238 + 195 + 164 + 0

= 2883

Number of terms =14

Mean = Sum of terms / Number of terms = 2883 / 14 205.9286

b).

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:

0   73   91   164   186   195   222   238   238   243   263   266   331   373   

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 = (222+238) / 2 = 230

c).

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:

0   73   91   164   186   195   222   238   238   243   263   266   331   373   

We see that the mode is 238 .

d).

In statistics, the midrange of a set of statistical data values is the arithmetic mean of the maximum and minimum values in a data set. It is a measure of central tendency. It is also called mid-extreme.

Formula,

The following is the midrange formula:

M = (max + min) / 2

where:
M = midrange
max = maximum value in a data set
min = minimum value in a data set

Maximum value = 373 Minimum value = 0 Midrange = (373+0) / 2 = 186.5

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