The scores for males (M) and females (F) on the first statistics exam are displayed in the parallel boxplots below.**refer to file with a photo of the parallel box plot**Which of the following can be concluded from the display? I. More males took the exam than femalesII. The IQR for the females was less than the IQR for the malesIII. At least half of the students scored above 70What is the answer?a. I onlyb. II onlyc. III onlyd. I and II onlye. II and III only The image is a box plot representing test scores categorized by gender. The x-axis represents the scores ranging from 0 to 100, while the y-axis denotes gender, labeled as 'F' for females and 'M' for males.### Box Plot Details:- **Females (F):** - The interquartile range (IQR), which is the length of the box, shows that the middle 50% of the data is concentrated between approximately 55 and 70. - The median score (indicated by the line within the box) is around 63. - The whiskers extend from about 45 to 80, indicating the range of scores excluding outliers.- **Males (M):** - The IQR is broader, with the box stretching from about 50 to 75. - The median score here is around 60. - The whiskers extend further out, from around 30 to 90, showing a wider distribution of scores compared to females.This plot provides a visual comparison of test performance between genders, highlighting differences in score distribution and central tendency.

Name: The scores for males (M) and females (F) on the first statistics exam
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: The scores for males (M) and females (F) on the first statistics exam are displayed in the parallel boxplots below.**refer to file with a photo of the parallel box plot**Which of the following can be concluded from the display? I. More males took the

Box Plot : A boxplot, also called a box and whisker plot, is a way to show the spread and centers of a data set. Measures of spread include the interquartile range and the mean of the data set. Measures of center include the mean or average and median (the middle of a data set). Given boxplot shows the scores for males (M) and females (F) on the first statistics exam . where, data collected for male is centered and for female it is left skewed . Center and spread : Examine the following elements to learn more about the center and spread of your sample data. Median - The median is represented by the line in the box. The median is a common measure of the center of your data. Interquartile range box - The interquartile range box represents the middle 50% of the data. Whiskers - The whiskers extend from either side of the box. The whiskers represent the ranges for the bottom 25% and the top 25% of the data values, excluding outliers. Interpretation : Range for males is greater than females . Range = Max value - min value I. More males took the exam than females Whisker for female data is skewed to the late . Therefore , II. The IQR for the females was less than the IQR for the males Hence , Option d is correct .