Question-1:

ThefollowingtableshowsthedistributionofmarksonProfessord'Ailly'sfinalexam.Usethesedatatocompletethemissingvalueand answer the questions at the bottom of thetable.

Grouped Frequency Distribution Table

Scores (Apparent limits)	Real limits	Midpoint	f	Relativef	cf	Percentile
83 - 89	82.5 - 89.5	86	25	0.2083	120	100%
76 - 82	75.5 - 82.5	79	1	0.0083	95	79.1667%
69 - 75	68.5 - 75.5	72	5	0.0417	94	78.3333%
62 - 68	61.5 - 68.5	65	17	0.1417	89
55 - 61	54.5 - 61.5	58	13	0.1083	72	60%
48 - 54	47.5 - 54.5	51	20	0.1667	59	49.1667%
41 - 47	40.5 - 47.5	44	2	0.0167	39	32.5%
34 - 40	33.5 - 40.5	37	8	0.0667	37	30.8333%
27 - 33	26.5 - 33.5	30	17	0.1417	29	24.1667%
20 - 26	19.5 - 26.5	23	12	0.1	12	10%

Using the midpoint value, identify themedianscore: Using the midpoint value, identifyQ1:

Using the midpoint value, identifyQ3:

Question2:

Professor Smyth gave a test to his class and obtained the following marks:

92	92	89	87	87	85.5	83.5	81.5	80
80	79	79	77	75.5	74	74	74	73.5
71.5	70	68.5	67	65	64	62.5	58	56.5

WhatisN(thenumberoftestmarks)?

Susan,whoisinthisclass,scored81.5onthistest. Whatisherpercentile? Whatisthemodeforthisclass?

Whatisthemedianscoreforthisclass? Whatisthemeanscoreforthisclass?

Question 3:

Consider the following data:

3, 7, 4, 3, 1, 6, 12, 7, 5, 12, 2, 12

Inthisquestion,wewishtocalculatethepopulationstandarddeviationofthisdata. CalculateN

Calculate X

Calculate Z2

Calculate thestandarddeviationfortheabovedata

Question 4: Consider the following data:

1, 7, 5, 2, 2, 7, 13, 10, 3, 11, 3, 15

CalculateN Calculate A Calculate Z2

Calculatetheestimatedpopulationvariance

Answer required with detailed steps...