Question

Here are the reading scores (out of 60) of 20 randomly selected kindergarten kids in a district 9, 34, 27, 39, 34,57, 40, 32, 27, 30, 41, 33, 42, 34, 39, 47, 30, 28, 27, 25 Find the 5-number summary for the data set. Min: 9 Q1: O * Median: O. 03: O* Max: 57 Find the IQR of the data set. IQR: 8.25 * Find Q3+1.5(IQR). Q3+1.5(IQR) = * Are there any high outliers, that is, are there any numbers in the data set higher than Q3+1.5(IQR)? No, there are no high outliers 4 Find Q1-1.5(IQR). Q1-1.5(IQR) = 13.3 * Are there any low outliers, that is, are there any numbers in the data set higher than Q1-1.5(IQR)? 9 is a low outlier

Answer 1

The values of Q1, Q3 and IQR are follows

The Given data is 9, 34, 27, 39, 34,57, 40, 32, 27, 30, 41,33, 42, 34,39,47, 30,28, 27, 25. To find out the median first write down in the Ascending order the given numbers. 925 27 27 27 28 30 30 32 33 34 34 34 39 39 40 41 42 47 57, - The given set is even because n=20 (number of values) Divide them as two parts a values and another avalud to find median, this leaves 33 & 34 find average of these values 33+31 2 > 33.5 .. Median = 33.5.

To find o, and as values. 9 25 27 27 27 28 30 30 32 33 34 34 34 39 39 40 41 42 47 st The above values are divided equally because n is even value (n=20) Then after dividing again find median for Q, set and az set, which is Q, = 27+28 = 27.5. - 2 Q3 = 39+40=39.5. data set. To find I QR of TORE Q- Q = 39.5-27.5 = 12 : IQR=12

find Q3 +1.5 (IQR) where Q3=39.5 I Q R =12 = 39.5+1.5(12) = 57.5. Q,-1.5 (IOR) where 2 = 27.5 = 27.5 -1.5 (12)=9.5 IQR = 12. find