For the histogram in Question 5, the shape is best described as: a. Unimodal and
ID: 3289439 • Letter: F
Question
For the histogram in Question 5, the shape is best described as: a. Unimodal and symmetric b. Bimodal c. Skewed right d. Skewed left The 2015 Consumer Reports new Car Buying Guide reported on the number of seconds required for a variety of cars to accelerate from 0 to 30 mph. The cars were also classified into six categories according to type. The following boxplots display the distribution of acceleration times for each type of car: Which type of car has the smallest interquartile range for number of seconds to accelerate? A. Upscale. B. Sports. C. Small. D. Luxury. E. Large. F. Family. If the outliers were removed from the dataset of Small cars, which of the following statistics would be least affected? A. Range. B. IQR. C. Standard Deviation.Explanation / Answer
IQR(inter Quantile Range) :
Median= N/2 -th Item of the data set
Example : If data set has n=100, n/2= 50 th item is Median
Q1 = n/4-th item = 25 th item of data set
Q3 = 3*(n/4) th item = 75 th item of data set
7) Smallest Interquantile range :
Using acc- 0-30 diagram : IQR seems in between ranges of
Upsccale : 3.1 to 3.6 = 0.5
Sports : 2.5 to 3.2 = 0.7
Small : 3.6 to 3.8 =0.2
Luxary : 3 to 3.5 = 0.5
Large :3.1 to 3.5 =0.4
Family :3.4 to 3.9 =0.5
While looking in to bax plots : Small cars has least Interqunatile range.
8) If the outliers removed from the data of small cars,least affected. Answer : IQR
from above box plot : Range :with outliers - 2.8 to 4.5 and without outliers : 3.4 to 4
IQR : will be the same because which always depends up on Median value.
Standard Deviaiton : Which varies by outliers and Increses if extra outlier added and reduces by removing of an outlier.