Question

An intelligence test that has a maximum completion time of 45 minutes was recently administered to a group of 8 people. Their respective completion times (in minutes) were as follows: 37,26, 34, 33, 28, 25, 32, 39 Send data to Excel (a) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place. (b) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place. zero modes 0 (c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable. one mode: two modes: and х 6 ?

Answer 1

Solution: Given that 37,26,34,33,28,25,32,39

(a) The median of this data set : 32.5

Explanation:

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:

25   26   28   32   33   34   37   39   

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 = (32+33)/2 = 32.5

(b) The mean value of the data set : 31.75

Mean = (sum of terms/number of terms)
= 254/8
= 31.75

(c) option A. Zero modes

Explanation:

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:

25 26 28 32 33 34 37 39   

Since each value occurs only once, there is no mode for this data set.