/*! 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. 59 Describe the relationship betwee... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q. 59 (page 136)

Describe the relationship between the mode and the median of this distribution.

Short Answer

Expert verified

The data distribution is symmetric becausemedian=mode

Step by step solution

01

content Introduction

The mean is less than the median, which is frequently less than the mode, if the data distribution is skewed to the left. If the distribution of data is skewed to the right, the mode is generally less than the median, which is less than the mean. The mode = the median = the mean if the data distribution is symmetric.

02

Content Explanation

The median is calculated using the below formula:

Median=N+12thterm

from the above table, N=21

Therefore,

Median=(21+12)thtermMedian=11thterm

Cumulative frequency 11thlies in x=5

The mode is one that has a maximum frequency.

Therefore, the mode is5.

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

a. For runners in a race, a low time means a faster run. The winners in a race have the shortest running times. Is it more desirable to have a finish time with a high or a low percentile when running a race?

b. The 20th percentile of run times in a particular race is 5.2 minutes. Write a sentence interpreting the 20th percentile in the context of the situation.

c. A bicyclist in the90th percentile of a bicycle race completed the race in 1 hour and 12 minutes. Is he among the fastest or slowest cyclists in the race? Write a sentence interpreting the 90th percentile in the context of the situation.

On a baseball team, the ages of each of the players are as follows:

21;21;22;23;24;24;25;25;28;29;29;31;32;33;33;34;35;36;36;36;36;38;38;38;40

Use your calculator or computer to find the mean and standard deviation. Then find the value that is two standard deviations above the mean.

2.42What is the difference between relative frequency and frequency for each data value in Table 2?

What word describes a distribution that has two modes?

The table shows the number of wins and losses the Atlanta Hawks have had in 42seasons. Create a side-by-side stem-and-leaf plot of these wins and losses.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation
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.