C-sections Do male doctors perform more cesarean sections (C-sections) than female doctors? A study in Switzerland examined the number of cesarean sections (surgical deliveries of babies) performed in a 100. Section 1.3 Describing Quantitative Data with Numbers 73 year by samples of male and female doctors. Here are summary statistics for the two distributions:

(a) Based on the computer output, which distribution would you guess has a more symmetrical shape? Explain.

(b) Explain how the IQRs of these two distributions can be so similar even though the standard deviations are quite different.

(c) Does it appear that males perform more C-sections? Justify your answer

Short Answer

Expert verified

Part (a) The distribution for female doctors is roughly symmetric

Part (b) The IQR is not influenced by outliers, while the standard deviation is influenced by outliers.

Part (c) The male doctors appear to perform more C-sections.

Step by step solution

01

Given information

A Swiss study looked at how many cesarean sections (baby births via surgery) were performed per100The summary statistics for the two distribution is given in the below table:


x
sx
Min
Q1
M
Q3
MaxIQR
Male doctors41.33320.607202734508623
Female doctors19.110.12651018.5293319
02

Part (a) Step 2: Concept

A statistical graph or chart is a visual representation of statistical data in graphical form.

03

Part (a) Step 3: calculation

FEMALE:

Mean: x=19.1

Median:M=18.5

Because the mean and median are so close, the distribution of female doctors is essentially symmetric.

MALE:

Mean:x=41.333

Median:M=34

Because the mean and median are so far off, the male doctor distribution is not generally symmetric. Therefore, the distribution for female doctors is roughly symmetric.

04

Part (b) Step 1: Explanation

Outliers have no effect on the IQR, but they do have an impact on the standard deviation. As a result, one of these two distributions (the distribution of female doctors) will almost certainly have outliers that affect the standard deviation figure.

05

Part (c) Step 1: Explanation

Because the mean x, the lowest, the first quartile Q1, the median M, the third quartile Q3, and the maximum are all larger for male doctors than for female doctors, it appears that male doctors execute more C-sections.

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