Please answer each question

Problem 232:
(a)
The mean is calculated:
(b)
The median is calculated:
The observations are arranged in ascending order.
101, 102, 103, 103, 103, 104, 104, 105, 105, 106, 106, 107, 107, 108, 109, 110, 110, 111, 111, 112, 112, 114, 116, 118, 119, 128
The total number of observation is 26,
The median will be the average of 13th and 14th value of the sorted data.
(c)
The mode is the value with highest frequency.
Here, 103 is the value whose frequency is highest that is 3.
Therefore, the mode is 103.
(d)
The standard deviation is calculated:
Sample standard deviation-Since this is a sample data, hence sample standard deviation is calculated:
(e)
Calculation of
    
    
    101
    -8
    102
    -7
    103
    -6
    103
    -6
    103
    -6
    104
    -5
    104
    -5
    105
    -4
    105
    -4
    106
    -3
    106
    -3
    107
    -2
    107
    -2
    108
    -1
    109
    0
    110
    1
    110
    1
    111
    2
    111
    2
    112
    3
    112
    3
    114
    5
    116
    7
    118
    9
    119
    10
    128
    19
    Total
    0
Therefore, is 0.
(f)
Calculation of .
    
(g)
The sum of squared IQ values.
(h)
Calculation of
    
    
    
    101
    -8
    64
    102
    -7
    49
    103
    -6
    36
    103
    -6
    36
    103
    -6
    36
    104
    -5
    25
    104
    -5
    25
    105
    -4
    16
    105
    -4
    16
    106
    -3
    9
    106
    -3
    9
    107
    -2
    4
    107
    -2
    4
    108
    -1
    1
    109
    0
    0
    110
    1
    1
    110
    1
    1
    111
    2
    4
    111
    2
    4
    112
    3
    9
    112
    3
    9
    114
    5
    25
    116
    7
    49
    118
    9
    81
    119
    10
    100
    128
    19
    361
    Total
    0
    974
Therefore, is 974.
(i)
Calculation of .
(j)
The percentile rank of 112.
The ranks are calculated in the following table.
    
    Rank
    101
    1
    102
    2
    103
    4
    103
    4
    103
    4
    104
    6.5
    104
    6.5
    105
    8.5
    105
    8.5
    106
    10.5
    106
    10.5
    107
    12.5
    107
    12.5
    108
    14
    109
    15
    110
    16.5
    110
    16.5
    111
    18.5
    111
    18.5
    112
    20.5
    112
    20.5
    114
    22
    116
    23
    118
    24
    119
    25
    128
    26
The percentile rank of 112 is calculated using the formula:
Percentile rank=
Where M = number of Ranks below 112.
R=number of ranks equals 112.
Y=total number of ranks.
(k)
The z-score of 128 is calculated.
Problem 233:
(a)
Coefficient of variation of Mickey:
Coefficient of variation of White:
Since Mickey has less coefficient of variation, hence Mickey has more consistent career than White.
(b)
Coefficient of variation is a statistical measurement of the...