IB math AI I NEED HELP BUT I NEED TO SEND A PICTURE DUE TO IT INCLUDING A GRAPH IT SEEMS LIKE. PLEASE MESSAGE ME IF YOU WANT TO HELP AND VIEW THE PICTURE THANK YOU

Question

A group of 10 girls recorded the number of hours they spent watching television during a particular week. Their results are summarized in the box-and-whisker plot below. 8 15 19 20 a (a) The range of the data is 16. Find the value of a. [2] (b) Find the value of the interquartile range. [2] The group of girls watched a total of 180 hours of television. (c) Find the mean number of hours that the girls in this group spent watching television that week. [2] A group of 20 boys also recorded the number of hours they spent watching television that same week. Their results are summarized in the table below. II I...) 97:21 0' (d) (i) Find the total number of hours the group of boys spent watching television that week. (ii) Find the mean number of hours that all 30 girls and boys spent watching television that week. [5] The following week, the group of boys had exams. During this exam week, the boys spent half as much time watching television compared to the previous week. (e) For this exam week, find (i) the mean number of hours that the group of boys spent watching television; (ii) the variance in the number of hours the group of boys spent watching television. [5]

Answer 1

Instead of answering your specific problem I want to give you the definition of your terms.

Box and Whiskers plots are based on medians. The median is the middle number of a data set. Three medians are found. The median of the whole set; the median of the upper half and the median of the lower half.

The plot from left to right consists of the following:

minimum (point)

horizontal line

lower half median (vertical bar) Lower Quatile 25%

block

median of whole set (vertical bar) Median 50%

block

upper half median (vertical bar) Upper Quatile 75%

horizontal line

maximum (point)

The mean of a data set is also called the average. This is the sum of the data set values divided by the number of entries.

The range of a data set is the maximum minus the minimum.

With this knowledge you should be able to do your problems