Answer to Question #253859 in Statistics and Probability for Nelle

Question

Given the following raw data, make a measures of central tendency table ( Class Interval, Tally, Frequency, Class Mark, Class Boundaries, <cmf, >cmf, rf, %rf ). Determine Mean, Median, and Mode, then find with Q1, Q2, and Q3 with complete solution. Test scores obtained by sixty students in a statistics class. 48 73 57 57 69 88 11 80 82 47 46 70 49 45 75 81 33 65 38 59 94 59 62 36 58 69 45 55 58 65 30 49 73 29 41 53 37 35 61 48 22 51 56 55 60 37 56 59 57 36 12 36 50 63 68 30 56 70 53 28

Answer 1

Least to Greatest order:

11, 12, 22, 28, 29, 30, 30, 33, 35, 36, 36, 36, 37, 37, 38, 41, 45, 45, 46, 47, 48, 48, 49, 49, 50, 51, 53, 53, 55, 55, 56, 56, 56, 57, 57, 57, 58, 58, 59, 59, 59, 60, 61, 62, 63, 65, 65, 68, 69, 69, 70, 70, 73, 73, 75, 80, 81, 82, 88, 94

Class interval:10

$n=60$

$mean=Q_2=\sum x_i/n=53.08$

$median=(x_{30}+x_{31})/2=(55+56)/2=55.5$

Mode: 36,56,57,59 (appears 3 times)

$Q_1=(x_{15}+x_{16})/2=(38+41)/2=39.5$

$Q_3=(x_{45}+x_{46})/2=(63+65)/2=64$