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 casesThe 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.

Name: find the mean, standard deviation, the IQR, and tell how the data is s
Uploaded: 2024-03-20T07:06:16.000Z
Channel: Bartleby
Description: 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 avail

If the distribution is divided into two parts and the two sides are a mirror image of each other,…

Answered: find the mean, standard deviation, the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

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 $\bar{x} = \frac{\sum_{} x_{i}}{n}$ , where $\sum_{} x_{i}$ denotes the sum of all data points and (n) denotes the total number of observations.

$\begin{array}{rcl} \bar{x} & = & \frac{0 + 0 + 0 + 1 + 4 + 79 + 255 + 580 + 1070 + 1969 + 2215 + 2139 + 2532 + 2816 + 2782 + 1742 + 931 + 1053}{18} \\ = & 1120.44 \end{array}$

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Centre, Spread, and Shape of a Distribution$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions