Question

The data represents the number of minutes dan spent on his homework each night 30, 35, 35, 45, 46, 52, 55, 57. Which box plot correctly represents the data

Answer 1

Answer:

Option C

Step-by-step explanation:

The datasets is incomplete. Here is the correct question.

The data represents the number of minutes dan spent on his homework each night 30, 35, 35, 45, 46, 46 52, 55, 57. Which box plot correctly represents the data

The question lacks the required option. Find the options in the diagram below:

To get the correct box plot to represent the data, we need to calculate the lower quartile, median and the upper quartile of the data.

Since our data is already in increasing order of magnitude we can go ahead and calculate this parameters.

To get the lower quartile, we will find Q1 first.

Q1 = N+1/4 th value.

This means we have to locate the N+1/4 the value.

N is the total number present in the dataset = 9

Q1 = 9+1/4 = 10/4

Q1 = 2.5th value

This equivalent is the third value in the dataset.

Hence, our lower quartile is 35

Median is the middle value after rearrangement.

Based on the datasets, the value at the middle is 46 by inspection.

For the upper quartile Q3,

Q3 = 3(N+1)/4 th value

Q3 = 3(9+1)/4

Q3 = 30/4

Q3 = 7.5th value

The upper quartile is the 8th value in the dataset i.e 55

Based on the box plots, the only box that correctly plots this values [35, 46 and 55] is the third option.