Thompson Brewery has gathered a sample of fill levels of 200 random bottles from their bottling line. Sample contained below

Thompson Brewery Fill Levels (mL)
341.25	340.82	341.23	341.49	340.77	341.15	341.02	341.17	340.98	340.88
340.88	341.17	340.87	340.77	340.88	341.47	340.57	340.91	341.03	340.29
341.17	341.05	340.75	340.81	340.93	341.13	341.02	340.93	341.23	340.96
340.80	341.00	340.76	340.81	341.13	340.87	340.95	340.93	341.08	341.11
341.19	340.79	341.06	341.06	341.18	341.59	341.09	341.07	341.13	341.05
340.91	341.33	340.78	341.00	340.83	340.91	340.76	340.93	340.95	341.21
340.77	341.22	340.49	341.02	340.99	341.02	340.80	341.21	340.76	341.08
341.21	340.84	341.20	341.01	340.88	340.75	340.39	341.20	340.75	341.09
340.82	340.92	341.17	340.92	341.14	341.17	341.11	340.83	341.57	340.93
341.13	340.93	340.87	340.97	341.03	340.95	341.11	340.94	341.09	341.08
341.00	341.05	340.94	340.77	340.85	341.42	341.18	341.24	341.14	341.20
341.19	341.13	341.02	341.07	341.09	341.05	341.18	341.19	340.75	340.89
341.25	340.85	340.91	341.04	340.75	341.21	340.75	341.07	340.77	341.03
340.93	341.15	341.02	341.03	340.95	341.25	341.06	341.37	340.88	340.87
340.97	341.00	341.10	341.18	340.89	341.13	340.91	341.04	341.41	341.06
340.85	341.25	341.06	341.09	341.16	341.28	341.22	341.18	341.05	341.03
340.76	341.04	340.83	340.88	340.94	340.78	340.30	341.20	341.00	340.88
340.70	340.57	341.01	341.00	340.92	340.75	340.95	340.44	340.77	340.99
341.00	341.03	340.91	340.95	340.90	341.12	341.73	340.95	341.17	340.98
341.02	341.02	341.01	340.78	341.08	341.06	340.88	340.88	341.02	340.86

Based on the sample, calculate the following statistics: (1 mark EACH)

ALL ANSWERS ON THIS QUESTION TO 2 DECIMALS

DO NOT INCLUDE UNITS (i.e. ENTER NUMBER VALUES ONLY)

MEAN:

________

MEDIAN:

________

MODE #1:IF THERE IS NO MODE ENTER 0 (THE NUMBER ZERO)

________

MODE #2:IF THERE IS NO 2^ND MODE ENTER 0 (THE NUMBER ZERO)

________

MODE #3:IF THERE IS NO 3^RD MODE ENTER 0 (THE NUMBER ZERO)

________

STANDARD DEVIATION:

________

INTERQUARTILE RANGE:

________

P₇₀:

________

When the bottling line is working properly fill levels follow a normal distribution with a mean fill level of 341mL and a standard deviation of 0.25mL. According to the EMPIRICAL RULE, 68% of all fill levels should be within what interval?

From (LOW END)________up to (HIGH END)________

What percent of bottles from the ABOVE SAMPLE were contained within the interval from your 2 previous answers?

________