Find the range and standard deviation of the set of

Antinazius

Antinazius

Answered question

2021-11-27

Find the range and standard deviation of the set of data
210,215,220,225,230,235,240
The range is 30.
The standard deviation is ?

Answer & Explanation

Froldigh

Froldigh

Beginner2021-11-28Added 17 answers

Step 1
Given information
We have given the set of data and we have to find the range and the standard deviation.
The set of data is-
210, 215, 220, 225, 230, 235, 240
Step 2
a) Range of the data set is given by-
Range=Maximumminimum
Range=240210=30
b) Sample size, n=7
Sample mean, (x) is-
x=210+215+220+225+230+235+2407=225
So, the sample mean is 225.
Now, sample standard deviation is given by
s=(xx)2n1=(210225)2+(215225)2.+(240225)271=10.80
Hence, the sample standard deviation is 10.80.

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