Based on number of points scored by Josh, the statistical summary include;
Minimum = 6.
= 7.75.
Median = 10.
= 14.25.
Maximum = 26.
IQR = 6.5
Low End = -2
High End = 24
The outlier is 26.
In Mathematics and Statistics, a box plot is a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
Based on the information provided about the data set, the five-number summary for the given data set can be computed graphically as follows:
Minimum (Min) = 6.
First quartile (
) = 7.75.
Median (Med) = 10.
Third quartile (
) = 14.25.
Maximum (Max) = 26.
Mathematically, interquartile range (IQR) of a data set is the difference between third quartile (
) and the first quartile (
):
Interquartile range (IQR) of data set = third quartile - first quartile
Interquartile range (IQR) of data set = 14.25 - 7.75
Interquartile range (IQR) of data set = 6.5
Low End =
- (1.5 × IQR)
Low End = 7.75 - (1.5 × 6.5)
Low End = -2
High End =
+ (1.5 × IQR)
High End = 14.25 + (1.5 × 6.5)
High End = 24
An outlier is a number that's either unusually too large or little in comparison with the overall pattern of the numerical values contained in a data set. Hence, the outlier is 26.
Complete Question:
Josh is on the basketball team and scored the following number of points per game for the last 10 games: 6, 7, 8, 8, 10, 10, 11, 14, 15, 26
Minimum: □
Q1: □
Median: □
Q3: □
Maximum: □
IQR: □
Check for outliers . . .
Low End: □
High End: □
The outlier is □. If there is no outlier, write NONE.