Statistics

The table below shows the LOS for a sample of 11 discharged patients. Using the data in the table, calculate the mean, range, variance, and standard deviation, and then answer questions e and f. Round the variance and standard deviation to one decimal place.

a. Mean
b. Range
c. Variance
d. Standard deviation
e. What value is affecting the mean and SD of this distribution?
f. Does the mean adequately represent this distribution? If not, what would be a better measure of central tendency for this data set?

Patient Length of Stay LOS-Mean (5) (LOS-Mean)2
(x-x̅) (x-x̅)2
1 1
2 3
3 5
4 3
5 2
6 29
7 3
8 4
9 2
10 1
11 2

I honestly don't understand how to do this. If someone can help me out and guide me in the right direction I would appreciate it. I need to get this right on a test.

  1. 👍 0
  2. 👎 0
  3. 👁 1,228
  1. It didn't come out right, the numbers 1,3,5,3,2, 29,3, 4, 2, 1, 2 are supposed to be under the column of length of stay. Columns Los-mean (5) and LOS-Mean)2 are intentionally left empty. And the x-x) and (x-x)2 signs are under the LOS mean columns.

    I need help, someone please help me with this.

    1. 👍 0
    2. 👎 0
  2. a.

    mean = (1+3+5+3+2+29+3+4+2+1+2)/11 =55/11= 5
    (1-5) =
    x (x-x̅) (x-x̅)^2
    1 -4 16
    3 -2 4
    5 0 0
    3 -2 4
    2 -3 9
    29 24 576
    3 -2 4
    4 -1 1
    2 -3 9
    1 -4 16
    2 -3 9


    b.
    Range= highest value - lowest value

    Range =29-1 = 28

    c. variance = (x-x̅)^2 = 648
    648/(11-) = 64.8

    d. standard deviation = Sqrt(variance) = sqrt(64.8) =8.04984

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Mathematics

    The table shows the total number of customers at a car wash after 1, 2, 3, and 4 days of its grand opening. Which graph could represent the data shown in the table

  2. algebra

    The table shows how much a carpenter charges for work. Is the relationship shown by the data in the table linear. Explain your answer. hours worked Amount Charged($) 1 25 2 40 3 60 4 80 my answer is: 40-25 = 15 60-40= 20 80-60=20

  3. math

    The table shows the outputs y for different inputs x: Input (x) 3 7 11 15 Output (y) 4 6 8 10 Part A: Do the data in this table represent a function? Justify your answer. (3 points) Part B: Compare the data in the table with the

  4. statistics

    Suppose a new treatment for a certain disease is given to a sample of n=200 patients. The treatment was successful for 166 of the patients. Assume these patients are representative of the population of individuals who have this

  1. Math; Algebra

    The table shows the outputs, y, for different inputs, x: Input (x) 1 3 5 7 Output (y) 8 6 5 4 Part A: Do the data in this table represent a function? Justify your answer. (3 points) Part B: Compare the data in the table with the

  2. Chemistry

    a sample of helium gas is in a closed system with a movable piston. the volume of the gas sample is changed when both the temperature and the pressure of the sample are increased. the table below shows the initial temperature,

  3. science

    A scientist makes the measurements shown in the data table below. She needs to know the total volume of her other samples. which of the following shows the total volume reported with the correct number of digits and units. Samole

  4. Science

    4. The graph above shows jack's mass over a five-month period. Based on the trend in the data, what do you predict will happen to jack's mass the subsequent month? A. Jack's mass will increase(MY ANSWER) B. Jack's mass will

  1. statistic

    A special diet is intended to reduce systolic blood pressure among patients diagnosed with stage 2 hypertension. If the diet is effective, the target is to have the average systolic blood pressure of this group be below 150. After

  2. Math

    The back-to-back stem-and-leaf plot below shows the ages of patients seen by two doctors in a family clinic in one day. Compare the ages of the patients of doctor 1 and doctor 2 using the mean and the median of each data set.

  3. Algebra

    1.What is the solution of the system? y=9x-2 y=7x+3 A.(-5/2,41/2) B.(5/2,41/2) C.(5/2,-41/2) D.(-5/2,-41/2) 2.The table below shows the height (in inches) and weight (in pounds)of eight basketball players. Height=67, 69, 70, 72,

  4. statistics

    (c) The following table shows the values, in thousands of dollars, of 40 randomly selected houses in the city. 34 38 95 110 137 140 155 155 169 207 209 217 274 314 314 323 343 347 349 363 369 373 388 389 397 416 448 450 483 487

You can view more similar questions or ask a new question.