Statistics <span title="question.......................................................?">question....................</span>

Question

Can anyone of you teach me how to solve this

Number of HR hit by Craig Collins

27 34 41 37 29 21 41 47 39 33 28 24 19

Find the Mean Median Mode and Midrange

Find Range and Standard Deviation Thanks!

Answer 1

MEAN = SUM[ 27 34 41 37 29 21 41 47 39 33 28 24 19] / 13 = 420/13 = 32.31

MEDIAN = midpoint of data: [33] where half larger; half smaller

[ 19 21 24 27 28 29 33 34 37 39 41 41 47]

MODE = most common number [41] appears twice.

RANGE = smallest to largest [19 to 47]

Answer 2

To get the mean, add the values and divide by the number of values.

To get the median, order the values from lowest to highest and select the value which is in the center of the list, i.e, the one with as many values above it as below it.

To get the mode, just find the most frequent value

The range extends from the lowest to the highest value.

To compute the standard deviation proceed as follows:

   1. Find the mean, m, of the values.

   2. For each value x(i) calculate its deviation (x(i) - m) from the mean.

   3. Calculate the squares of these deviations.

   4. Find the mean of the squared deviations. This quantity is the variance, σ2.

   5. Take the square root of the variance and you have the standard deviation, σ .

Alternatively, use a scientific calculator or a spreadsheet...........