Question

This problem is about visualization of distributions & interpretation of histograms. In the workplace, depression is a leading cause of absenteeism and loss of productivity (Greenberg, et al. 1993). To assess the degree to which people suffer from depression, prior to receiving treatment, data were collected on the number of days that 105 patients were depressed prior to starting a new treatment. These data are displayed in the following table and histogram: Days Count [20-60] 5 [60-100] 10 [100-140] 20 [140-180] 30 [180-220] 16 [220-260] 10 [260-300] 6 [300-340] 4 [340-380] 2 [380-420] 0 [420-460] 0 [460-500] 0 [500-540] 2 Histogram of Depression Days Which of the following is a possible value of the median number of days that patients were depressed? Explain your answer. a. 53 b. 170 c. 220 d. 290 Using this same histogram of 105 patients, which of the following is most likely to be true? Explain your answer. a. The mean will be larger than the median. b. The median will be larger than the mean. c. The mean and median will be about the same. Using this same histogram of 105 patients, what percentage of patients had 220 or more days of depression? Explain your answer. a. 13 b. 23 c. 24

          This problem is about visualization of distributions & interpretation of histograms.
In the workplace, depression is a leading cause of absenteeism and loss of productivity (Greenberg, et al. 1993).
To assess the degree to which people suffer from depression, prior to receiving treatment, data were collected on
the number of days that 105 patients were depressed prior to starting a new treatment. These data are displayed
in the following table and histogram:
Days	Count
[20-60]	5
[60-100]	10
[100-140]	20
[140-180]	30
[180-220]	16
[220-260]	10
[260-300]	6
[300-340]	4
[340-380]	2
[380-420]	0
[420-460]	0
[460-500]	0
[500-540]	2
Histogram of Depression Days
Which of the following is a possible value of the median number of days that patients were depressed?
Explain your answer.
a. 53
b. 170
c. 220
d. 290
Using this same histogram of 105 patients, which of the following is most likely to be true? Explain your
answer.
a. The mean will be larger than the median.
b. The median will be larger than the mean.
c. The mean and median will be about the same.
Using this same histogram of 105 patients, what percentage of patients had 220 or more days of
depression? Explain your answer.
a. 13
b. 23
c. 24

This problem is about visualization of distributions interpretation of histograms.
In the workplace, depression is a leading cause of absenteeism and loss of productivity (Greenberg, et al. 1993).
To assess the degree to which people suffer from depression, prior to receiving treatment, data were collected on
the number of days that 105 patients were depressed prior to starting a new treatment. These data are displayed
in the following table and histogram:
Days Count
[20-60] 5
[60-100] 10
[100-140] 20
[140-180] 30
[180-220] 16
[220-260] 10
[260-300] 6
[300-340] 4
[340-380] 2
[380-420] 0
[420-460] 0
[460-500] 0
[500-540] 2
Histogram of Depression Days
Which of the following is a possible value of the median number of days that patients were depressed?
Explain your answer.
a. 53
b. 170
c. 220
d. 290
Using this same histogram of 105 patients, which of the following is most likely to be true? Explain your
answer.
a. The mean will be larger than the median.
b. The median will be larger than the mean.
c. The mean and median will be about the same.
Using this same histogram of 105 patients, what percentage of patients had 220 or more days of
depression? Explain your answer.
a. 13
b. 23
c. 24

Added by Kristy H.

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