Determine the arithmetic mean using the assumed mean

Reference no: EM132606796

QUESTION ONE

The depth of water (in Metres) at high tide was recoded at London Bridge for a period of 15 days in March 2006.The data are listed below. Summarize these data in class intervals and also represent the data in a stem and leaf diagram.

7.2 7.5 7.3 7.4 7.3 7.3 7.3 7.3 7.1 7.1
6.8 6.9 6.3 6.4 5.9 5.9 5.4 5.4 5.1 5.5
5.4 5.9 5.9 6.3 6.3 6.7 6.6 6.8 6.6 6.7

QUESTION TWO
A question on a survey asks children how long their journey to school took on a particular day. A summary of the results is shown below.

Time(minutes correct to the nearest minute)   Number of children
1-15   115
16-25   46
26-35   36
36-55   22
56-80   14

Calculate the estimates of
the upper quartile
the 95th percentile for these data

QUESTION THREE

The heights of 142 plants are measured and recorded in the table below where the class of 65-70 means at least 65cm and less than 70cm tall.

Class 55-60 60-65 65-70 70-75 75-80 80-85 85-90
f 2 11 37 54 28 9 1

Estimate the mean and variance of the heights of the plants.

QUESTION FOUR

The following table shows the lengths of forty banana leaves in cm.

Length 110-119 120-129 130-139 140-149 150-159 160-169 170-179
f 1 3 7 14 8 5 2

Determine the arithmetic mean using the assumed mean of 144.5

Calculate the mode.

QUESTION FIVE

The following table shows the weights of 100 students;

Weight(kg)   f
60-62   5
63-65   18
66-68   42
69-71   27
72-74   8

Find the median

Calculate the harmonic mean

Calculate the geometric mean

Reference no: EM132606796

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