Question

O Question 51 pt 1DetailsThe table below gives the number of hours spent watching TV last week by a sample of 24 children. Find theminimum, maximum, range, mean, and standard deviation of the following data using using Excel, a calculatoror other technology. The minimum, maximum, range should be entered as exact values. Round the mean andstandard deviation to two decimals places.6234 86 25 25 8865 54 68 68 90 246862 38 53 76 8781 33 77 51 99 15Min 15Mean =Max 99 RangeStandard Deviation =

Answer 1

Recall that the mean of a given set of numbers is the sum of the numbers divided by the number of numbers, therefore, the mean of the dataset is:

$\bar{x}=59.54.$

Now, the range of a data set is the difference between the maximum and the minimum, in this case, the maximum is 99, and the minimum is 15 therefore, the range is:

$99-15=84.$

Finally, the standard deviation is given by the following formula:

$s=\frac{1}{N-1}\sum(x_i-\bar{x})^2,$

where N is the sample size, x_i is an element of the set, and x^- is the mean. The standard deviation of the set is:

$s=24.35.$

Answer:

$\begin{gathered} mean=59.54, \\ range=84, \\ standard\text{ deviation=24.35.} \end{gathered}$