Of the range, the interquartile range, and the variance, the interquartile range is least influenced by an outlying value in the data set. truefalse

True

Step-by-step explanation:

The Interquartile Range (IQR) is a more robust measure of variability because it excludes outliers from the distribution. Due to this fact, the IQR works with only 50% of the central data excluding the outlying values in the data set from its calculation.

The variance is affected by outliers, and the Range is way more affected by only the first and the last observation.

So, yes the IQR is the least influenced. Therefore, a more robust measure of variability.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

the radius is 2 times the diameter.

step-by-step explanation: