Insert Title REV/710 v4 Mean, Median, and Mode REV/710 v4 Page 2 of 2 Mean, Median, and Mode Find the mean, median, mode, range, interquartile range, and standard deviation of the following two...

Example (1). Find the mean, median, mode, range, interquartile range, and standard deviation.
    X (income)
    No. of persons
    200
    24
    250
    26
    180
    16
    300
    20
    350
    6
    280
    30
Solution:
Mean:
    Xi
    fi
    Xi fi
    200
    24
    4800
    250
    26
    6500
    180
    16
    2880
    300
    20
    6000
    350
    6
    2100
    280
    30
    8400
    Total
     fi = 122
     Xi fi = 30680

Mean () =     
=
= 251.47
Median: (After arranging the given data in ascending order)
    Xi
    fi
    Cumulative frequency (cf)
    180
    16
    16
    200
    24
    40
    250
    26
    66
    280
    30
    96
    300
    20
    116
    350
    6
    122

N = fi = 122 = Even
N/2 = 61
Median =

= = 250

Mode:
    X (income)
     No. of persons (fi)
    200
    24
    250
    26
    180
    16
    300
    20
    350
    6
    280
    30

From above table we can see that, X = 280 has maximum frequency.
Hence, Mode = 280

Range:
Maximum income – Minimum income = 350 – 180
= 170
Interquartile Range:
    Xi
    fi
    Cumulative frequency...