Can you analyze the central tendency and range of the given data set 5, 10, 15, 20, 25, 30, 35?
Sure! To analyze the central tendency and range of a given data set, we need to find the mean, median, and mode, as well as the range.
Let's start by finding the mean, which is the average of all the numbers in the data set. To do this, we sum up all the numbers and divide by the total count.
Sum of the numbers = 5 + 10 + 15 + 20 + 25 + 30 + 35 = 140
Total count = 7
Mean = 140 / 7 = 20
Next, let's find the median, which is the middle value in the data set. To do this, we arrange the numbers in ascending order and locate the middle value. Since we have an odd number of values, the median will be the fourth number.
Arranged data set: 5, 10, 15, 20, 25, 30, 35
Median = 20
Now, let's find the mode, which is the number that appears most frequently in the data set. In this case, there is no number that appears more than once, so there is no mode.
Finally, let's calculate the range, which is the difference between the highest and lowest values in the data set.
Range = Highest value - Lowest value
= 35 - 5
= 30
So, the central tendency of the given data set is as follows:
Mean: 20
Median: 20
Mode: None
And the range is 30.