Henry recorded the number of miles he biked each day for a week. His miles were 25, 40, 35, 25, 40, 60, and 75. Enter the data into the statistics calculator.what is the standard deviation of the miles Henry biked to the nearest tenth?

The standard deviation of the given data is 17.1

What is standard deviation?

Standard deviation meaning in statistics is a measure of how much the data points vary from the mean or average. It is calculated as the square root of the variance, which is the average of the squared deviations of each data point from the mean.

Given is a data set, we need to find the standard deviation of the data set,

S = 25, 40, 35, 25, 40, 60, 75

Finding the mean =

(25+40+35+25+40+60+75)/7 = 42.86

Finding the variance =

(25-42.86)² = 319

(40-42.86)² = 8.2

(35-42.86)² = 61.8

(25-42.86)² = 319

(40-42.86)² = 8.2

(60-42.86)² = 293.8

(75-42.86)² = 1033

(319+8.2+61.8+319+8.2+293.8+1033)/7=291.9

Therefore, the standard deviation =

√291.9 = 17.1

Hence, the standard deviation of the given data is 17.1

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Answer:

17.1

Step-by-step explanation:

1. Find the Mean

(25+40+35+25+40+60+75)/7 = 42.9

2.For each number, subtract the Mean and square the result.

(25-42.86)^2=319

(40-42.86)^2=8.2

(35-42.86)^2=61.8

(25-42.86)^2=319

(40-42.86)^2=8.2

(60-42.86)^2=293.8

(75-42.86)^2=1033

3. Find the Mean of those squared differences.

(319+8.2+61.8+319+8.2+293.8+1033)/7=291.9

4.Take the square root of that and this is what you want.

square root of 291.9 = 17.1