Find the standard deviation for the data set. 35,36,36,38,41,42,45,48?
See a solution process below:
Step 1) Work out the Mean (the simple average of the numbers)
Step 2) Then for each number: subtract the Mean and square the result
Step 3) Then work out the mean of those squared differences.
Step 4) Take the square root of that and we are done!
By signing up, you agree to our Terms of Service and Privacy Policy
To find the standard deviation for the given data set, you can follow these steps:
 Find the mean (average) of the data set.
 Calculate the difference between each data point and the mean.
 Square each of these differences.
 Find the mean of the squared differences.
 Take the square root of the mean squared differences to find the standard deviation.
Using the provided data set: 35, 36, 36, 38, 41, 42, 45, 48

Mean ( \bar{x} = \frac{35 + 36 + 36 + 38 + 41 + 42 + 45 + 48}{8} = \frac{321}{8} = 40.125 )

Differences from the mean: (35  40.125 = 5.125), (36  40.125 = 4.125), (36  40.125 = 4.125), (38  40.125 = 2.125), (41  40.125 = 0.875), (42  40.125 = 1.875), (45  40.125 = 4.875), (48  40.125 = 7.875).

Square of each difference: ( (5.125)^2 = 26.265625), ( (4.125)^2 = 17.015625), ( (4.125)^2 = 17.015625), ( (2.125)^2 = 4.515625), ( (0.875)^2 = 0.765625), ( (1.875)^2 = 3.515625), ( (4.875)^2 = 23.765625), ( (7.875)^2 = 62.015625).

Mean of the squared differences: ( \frac{26.265625 + 17.015625 + 17.015625 + 4.515625 + 0.765625 + 3.515625 + 23.765625 + 62.015625}{8} = \frac{155.875}{8} = 19.484375 ).

Standard deviation: ( \sqrt{19.484375} \approx 4.41 ).
Therefore, the standard deviation for the given data set is approximately 4.41.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
 How do you find the mean of the random variable #x#?
 The average weight of 6 students is 62 kg. If a 7th student weighs 52 kg, what is the new average weight of all 7 students?
 How to find E(1/X)?
 Brock scored the following number of goals in her soccer games: 2, 3, 1, 0, 3, 2,1, 2. What is the mean of the data?
 The mean of a set of data is 4.11 and its standard deviation is 3.03. What is the zscore for a value of 10.86?
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7