/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 92. Birthrates in Africa One of the ... [FREE SOLUTION] | 91影视

91影视

Birthrates in Africa One of the important factors in determining population growth rates is the birthrate per 1000 individuals in a population. The dotplot shows the birthrates per 1000 individuals (rounded to the nearest whole number) for 54 African nations.

(a) Find the median.

(b) Without doing any calculations, explain how the mean and median compare.

Short Answer

Expert verified

Part (a) 37.5 birth per 1000 individuals.

Part (b) The median is higher than the mean, but the mean is lower.

Step by step solution

01

Part (a) Step 1. Given information.

The given data is shown below:

The data values are:

12, 17, 18, 21, 23, 23, 23, 24, 25, 25, 25, 26, 28, 29, 30, 31, 31, 32, 33, 33, 34, 35, 35, 36, 36, 36, 37, 38, 38, 38, 38, 38, 39, 39, 39, 39, 39, 39, 40, 40, 41, 41, 41, 43, 43, 43, 43, 44, 45, 45, 46, 46, 47, 53

02

Part (a) Step 1. Find the median.

As we know that median is the middle value of a data set. As the given set is even, the median will be the middle values (27th and 28th) of this sorted data:

M=37+382=752=37.5

Therefore, the median is 37.5 birth per 1000 individuals.

03

Part (b) Step 1. Compare the mean and median without doing any calculations.

We can observe that most of the values in the dot-plot are to the right, with a tail of more rare (small) values to the left, the distribution is skewed to the left.

The mean is lower than the median in a left-skewed distribution because the mean is influenced more by the abnormally tiny data values in the data set.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Die rolls Imagine rolling a fair, six-sided die 60 times. Draw a plausible graph of the distribution of die rolls. Should you use a bar graph or a histogram to display the data?

Acorns and oak trees Of the many species of oak trees in the United States, 28 grow on the Atlantic Coast and 11 grow in California. The back-to-back stemplot displays data on the average volume of acorns (in cubic centimeters) for these 39 oak species. 29 Write a few sentences comparing the distributions of acorn size for the oak trees in these two regions.

The histogram shows the distribution of the percent of women aged 15 and over who have never married in each of the 50 states and the District of Columbia. Which of the following statements about the histogram is correct?

a. The center (median) of the distribution is about 36%.

b. There are more states with percentages above 32 than there are states with percentages less than 24.

c. It would be better if the values from 34 to 50 were deleted on the horizontal axis so there wouldn鈥檛 be a large gap.

d. There was one state with a value of exactly 33%.

e. About half of the states had percentages between 24% and 28%.

A smash or a hit Refer to Exercise 23.

(a) Find the distribution of responses about whether there was broken glass at the accident for each of the three treatment groups. Make a segmented bar graph to compare these distributions.

(b) Describe what the graph in part (a) reveals about the association between response about broken glass at the accident and treatment received for the subjects in the study.

A smash or a hitRefer to Exercise 23.

(a) What proportion of subjects who said they saw broken glass at the accident received the 鈥渉it鈥 treatment?

(b) What percent of subjects who received the 鈥渟mashed into鈥 treatment said they did not see broken glass at the accident?

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.