Math Problem Statement

The accompanying data represent the weights​ (in grams) of a simple random sample of

4848

​M&M plain candies. Determine the shape of the distribution of weights of​ M&Ms by drawing a frequency histogram. Find the mean and median. Which measure of central tendency better describes the weight of a plain​ M&M?

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Part 1

Draw a frequency histogram. Choose the correct graph below.

A.

Weight of Plain M and Ms

0.780.840.90.960612Weight (grams)Frequency

A histogram titled Weight of Plain M and M's has a horizontal axis labeled Weight in grams from 0.78 to 0.96 in increments of 0.02 and a vertical axis labeled Frequency from 0 to 12 in increments of 1. The histogram has vertical bars of width 0.02 starting at the horizontal axis value 0.78. The approximate heights of the bars are as follows, where the left horizontal axis label is listed first and the approximate height is listed second: 0.78, 1; 0.8, 1; 0.82, 9; 0.84, 10; 0.86, 9; 0.88, 8; 0.9, 4; 0.92, 2; 0.94, 4.

B.

Weight of Plain M and Ms

0.780.840.90.960612Weight (grams)Frequency

A histogram titled Weight of Plain M and M's has a horizontal axis labeled Weight in grams from 0.78 to 0.96 in increments of 0.02 and a vertical axis labeled Frequency from 0 to 12 in increments of 1. The histogram has vertical bars of width 0.02 starting at the horizontal axis value 0.78. The approximate heights of the bars are as follows, where the left horizontal axis label is listed first and the approximate height is listed second: 0.78, 1; 0.8, 9; 0.82, 10; 0.84, 8; 0.86, 9; 0.88, 4; 0.9, 4; 0.92, 1; 0.94, 2.

Your answer is not correct.

C.

Weight of Plain M and Ms

0.780.840.90.960612Weight (grams)Frequency

A histogram titled Weight of Plain M and M's has a horizontal axis labeled Weight in grams from 0.78 to 0.96 in increments of 0.02 and a vertical axis labeled Frequency from 0 to 12 in increments of 1. The histogram has vertical bars of width 0.02 starting at the horizontal axis value 0.78. The approximate heights of the bars are as follows, where the left horizontal axis label is listed first and the approximate height is listed second: 0.78, 1; 0.8, 1; 0.82, 4; 0.84, 9; 0.86, 4; 0.88, 10; 0.9, 8; 0.92, 9; 0.94, 2.

D.

Weight of Plain M and Ms

0.780.840.90.960612Weight (grams)Frequency

A histogram titled Weight of Plain M and M's has a horizontal axis labeled Weight in grams from 0.78 to 0.96 in increments of 0.02 and a vertical axis labeled Frequency from 0 to 12 in increments of 1. The histogram has vertical bars of width 0.02 starting at the horizontal axis value 0.78. The approximate heights of the bars are as follows, where the left horizontal axis label is listed first and the approximate height is listed second: 0.78, 1; 0.8, 1; 0.82, 4; 0.84, 8; 0.86, 9; 0.88, 10; 0.9, 9; 0.92, 4; 0.94, 2.

This is the correct answer.

Part 2

The mean is

x overbarxequals=0.8800.880

​gram(s).

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Descriptive Statistics
Central Tendency
Histograms

Formulas

Mean formula: \( \bar{x} = \frac{\sum x_i}{n} \)
Median: the middle value of a data set

Theorems

Symmetry in distributions
Properties of central tendency measures in symmetrical distributions

Suitable Grade Level

Grades 9-12