MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…
Topic Video
Question

find the mean, standard deviation, the IQR, and tell how the data is skewed, if it is. using the numbers in the graph.

 

 

The graph illustrates the projected incidence of breast cancer by age for Australian women in 2020. It is based on the latest available data. **Graph: Projected Incidence of Breast Cancer by Age at Diagnosis, Australia, 2020** - **Age Groups and Number of Cases:** - Age 0–4: 0 cases - Age 5–9: 0 cases - Age 10–14: 0 cases - Age 15–19: 4 cases - Age 20–24: 9 cases - Age 25–29: 79 cases - Age 30–34: 255 cases - Age 35–39: 580 cases - Age 40–44: 1,070 cases - Age 45–49: 1,969 cases - Age 50–54: 2,215 cases - Age 55–59: 2,139 cases - Age 60–64: 2,532 cases - Age 65–69: 2,816 cases - Age 70–74: 2,782 cases - Age 75–79: 1,742 cases - Age 80–84: 931 cases - Age 85+: 1,053 cases The graph reveals that breast cancer incidence increases significantly with age, peaking in the 65–69 age group, before declining in older age groups. **Source:** Australian Institute of Health and Welfare 2019. *Cancer data in Australia.* Cat. no. CAN 122. Canberra: AIHW.
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Transcribed Image Text:The graph illustrates the projected incidence of breast cancer by age for Australian women in 2020. It is based on the latest available data. **Graph: Projected Incidence of Breast Cancer by Age at Diagnosis, Australia, 2020** - **Age Groups and Number of Cases:** - Age 0–4: 0 cases - Age 5–9: 0 cases - Age 10–14: 0 cases - Age 15–19: 4 cases - Age 20–24: 9 cases - Age 25–29: 79 cases - Age 30–34: 255 cases - Age 35–39: 580 cases - Age 40–44: 1,070 cases - Age 45–49: 1,969 cases - Age 50–54: 2,215 cases - Age 55–59: 2,139 cases - Age 60–64: 2,532 cases - Age 65–69: 2,816 cases - Age 70–74: 2,782 cases - Age 75–79: 1,742 cases - Age 80–84: 931 cases - Age 85+: 1,053 cases The graph reveals that breast cancer incidence increases significantly with age, peaking in the 65–69 age group, before declining in older age groups. **Source:** Australian Institute of Health and Welfare 2019. *Cancer data in Australia.* Cat. no. CAN 122. Canberra: AIHW.
Expert Solution
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Step 1
  • If the distribution is divided into two parts and the two sides are a mirror image of each other, then it is known as symmetric distribution.
  • There is only one peak (a highest point) in the histogram and is roughly in the middle therefore, it is roughly symmetric.
  • Mean refers to the average value of the data set under consideration.
  • It is obtained by the formula x¯=∑xin, where∑xi denotes the sum of all data points and (n) denotes the total number of observations.

x¯=0+0+0+1+4+79+255+580+1070+1969+2215+2139+2532+2816+2782+1742+931+105318=1120.44

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