Knowee
Questions
Features
Study Tools

Find the range and coefficient of range of the following data.(i) 63, 89, 98, 125, 79, 108, 117, 68(ii) 43.5, 13.6, 18.9, 38.4, 61.4, 29.8

Question

Find the range and coefficient of range of the following data.

(i)

63, 89, 98, 125, 79, 108, 117, 68

(ii)

43.5, 13.6, 18.9, 38.4, 61.4, 29.8

🧐 Not the exact question you are looking for?Go ask a question

Solution

Sure, let's find the range and coefficient of range for the given data sets.

(i) 63, 89, 98, 125, 79, 108, 117, 68

Step 1: Arrange the data in ascending order: 63, 68, 79, 89, 98, 108, 117, 125

Step 2: Find the range. The range is the difference between the highest and lowest values. So, Range = Highest value - Lowest value = 125 - 63 = 62

Step 3: Find the coefficient of range. The coefficient of range is calculated as (Highest value - Lowest value) / (Highest value + Lowest value). So, Coefficient of Range = Range / (Highest value + Lowest value) = 62 / (125 + 63) = 62 / 188 = 0.3298

(ii) 43.5, 13.6, 18.9, 38.4, 61.4, 29.8

Step 1: Arrange the data in ascending order: 13.6, 18.9, 29.8, 38.4, 43.5, 61.4

Step 2: Find the range. The range is the difference between the highest and lowest values. So, Range = Highest value - Lowest value = 61.4 - 13.6 = 47.8

Step 3: Find the coefficient of range. The coefficient of range is calculated as (Highest value - Lowest value) / (Highest value + Lowest value). So, Coefficient of Range = Range / (Highest value + Lowest value) = 47.8 / (61.4 + 13.6) = 47.8 / 75 = 0.6373

So, the range and coefficient of range for the first data set are 62 and 0.3298 respectively, and for the second data set are 47.8 and 0.6373 respectively.

This problem has been solved

Similar Questions

Find the range for the data set {42, 49, 91, 42, 94, 73, 93, 67, 55, 54, 78, 82}.Group of answer choices52404212

Find the range of the following values: 0, 56436, 35676, 23424, 756753, 3123, 657, 76875,

Find the range of the function defined by the table below. Express your answer as a set of numbers.xx yy99 44minus, 8−8 minus, 4−433 441010 8800 101044 1010

Determine the variation in this unordered data set by finding the range.12, 13, 18, 21, 17, 12, 12, 21, 18

Find the mean, median, mode and range of the number set {18, 27, 38, 45, 72, 72, 87, 91, 101}. Choose correct ans

1/2

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.