The histogram shows the lengths of 26 black rats. Describe the distribution.

An outlier is a data point that is far away from the rest of the dataset. Outliers do not have a formal definition, but are easy to determine by looking at histogram. here, we have no outliers. Modal class of given data is 36 - 40 as it has highest frequency. Modality describes the number of peaks in a dataset. A unimodal distribution in a histogram means there is one distinct peak indicating the most frequent value in a histogram. So, this is a unimodal distribution as we have only one peak. The distribution of the data is symmetric if it has one prominent peak and equal tails to the left and the right. So, the distribution is Relatively symmetrical. Therefore, the distribution is Relatively symmetrical, unimodal and has no outliers.

The histogram shows the amounts of money, to the nearest $ 10 , some families spend on food each week. Calculate an estimate for the mean amount spent on food.

Given histogram shows the Amount spent on food by some families Amount spent on food is plotted on x -axis and frequency is plotted on y -axis. For finding estimated mean amount for this grouped data we make a column of midpoint of each class interval. So, the grouped frequency table is Amount spent on food Mid point of interval x Frequency f 145 7 155 17 165 12 175 4 Now, the mean amount spent on food is = ∑ f x ∑ f = 145 × 7 + 155 × 17 + 165 × 12 + 175 × 4 7 + 17 + 12 + 4 = 6330 40 = 158 . 25 So, the estimated mean amount spent on food is 158 . 25 dollars.

E M B I B E

MYP Mathematics A concept based approach 4&5 Standard>Quantity>Chapter 11 - City Skylines (Histograms)>Practice 3

Rose Harrison and Clara Huizink Solutions for Exercise 9: Practice 3

Author:Rose Harrison & Clara Huizink

Rose Harrison Mathematics Solutions for Exercise - Rose Harrison and Clara Huizink Solutions for Exercise 9: Practice 3

Attempt the practice questions from Exercise 9: Practice 3 with hints and solutions to strengthen your understanding. MYP Mathematics A concept based approach 4&5 Standard solutions are prepared by Experienced Embibe Experts.