Question

8) Nixon Corporation manufactures computer monitors. The following data give the numbers of computer monitors produced at the company for a sample of 30 day. 20, 22, 23, 23, 23, 23, 24, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 31, 31, 31, 32,33, 33, 33, 34, 35, 35, 36, 37,43 already in least to greatest form just Calculate the values of the three quartiles and the interquartile range. ​

Answer 1

30 data

Q1 = 30/4 or 30*25/100=7.5

Q1 is therefore the 8th value (we take the integer immediately after)

the 8th value is 26

Q1 = 26

30 values, even series

Q2 or median: If the total number N of the series is odd, the median M is the value located at position (N + 1)/2.

30/2 =15, to find Q2 we do the half-sum of the 15th and 16th values, i.e. (28+29)/2=28.5

Q2 = 28.5

Q3 = 30*3/4 or (30*75/100) (75%) = 22.5 (we take the whole number immediately after)

Q3 is therefore the 23rd value = 33

interquartile range =Q3-Q1=33-26=7

Explanation: