1.The following are the number of hours that 10 police officers have spent being trained in how to handle encounters with people who are mentally ill: 4 17 12 9 6 10 1 5 9 3

Calculate the (a) range, (b) inter-quartile range, (c) variance, and (d) standard deviation.
(Use N)

Step-by-step explanation:

Given

4, 17, 12, 9, 6, 10, 1, 5, 9, 3

Calculating the range;

From the given data;

Highest = 17 and Lowest = 1

Hence;

Calculating the Inter-quartile Range

Inter quartile range (IQR) is calculates as thus

Where

Q3 = Upper Quartile and Q1 = Lower Quartile

Start by arranging the data in ascending order

1, 3, 4, 5, 6, 9, 9, 10, 12, 17

N = Number of data; N = 10

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Calculating Q3

Substitute 10 for N

Express 8.25 as 8 + 0.25

Express 0.25 as fraction

From the arranged data;

and

Calculating Q1

Substitute 10 for N

Express 2.75 as 2 + 0.75

Express 0.75 as fraction

From the arranged data;

and

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Recall that

Calculating Variance

Start by calculating the mean

Subtract the mean from each data, then square the result

Sum the result

Divide by number of observation;

Calculating Standard Deviation (SD)

(Approximated)

is there supposed to be a diagram or a graph for this one? ?

step-by-step explanation: