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STATISTICS REVISION QUESTIONS

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20 Statistics Practice Questions

Mean Calculation (Direct and Assumed Mean Method)

  1. Find the mean of these values: 25, 30, 35, 45, 50, 60, 65, 70.
  2. Find the mean of: 12, 15, 18, 20, 22, 25.
  3. Calculate the mean of the following data:
    MarksFrequency
    102
    204
    306
    403
    505
  4. (a) Use the assumed mean method to calculate the mean where A = 24.5
    (b) Calculate Median (c) Calculate mode
    Class IntervalFrequency
    0 - 93
    10 - 197
    20 - 2910
    30 - 395
    40 - 492
  5. Calculate (a) Mean (b) Mode and (c) Median
    ClassFrequency
    5 - 144
    15 - 246
    25 - 3410
    35 - 448
    45 - 542
  6. (a) Assumed mean is any number you can think of, now this time the assumed mean is 10, calculate the mean using the assumed value given. (b) Why is it important to choose the assumed mean value from the list of class marks?
    (c) Calculate the median and (d) Mode
    Score RangeFrequency
    10 - 195
    20 - 298
    30 - 3915
    40 - 497
    50 - 593
  7. (a)The mean of the distribution below is 47.45, use it to find the value of X
    (b) Calculate the Median
    (c) Mode
    Age (Years)Frequency
    20 - 293
    30 - 396
    40 - 49X
    50 - 594
    60 - 692
  8. (a)Given the distribution below, use it to draw Histogram and estimate Mode from it
    (b) Draw the frequency distribution curve on the same axis with Histogram above.
    (c) Draw and ogive (Cumulative frequency Curve) and estimate median.
    (d) use the knowledge of statistics estimate the range of Mean.
    ClassFrequency
    100 - 1096
    110 - 11910
    120 - 12915
    130 - 1399

Median Questions

  1. The mean of the numbers 7, 9, 12, 15, Y, 20, 24 is 19, find the value of Y
  2. Calculate the mean, mode and median of:
    ScoreFrequency
    102
    206
    308
    403
  3. Calculate the mean, mode and median of:
    Class IntervalFrequency
    0 - 102
    10 - 205
    20 - 3012
    30 - 409
    40 - 502
  4. Calculate the mean, mode and median of the salary
    Salary (Tsh ‘000’)Frequency
    100 - 1995
    200 - 2999
    300 - 39911
    400 - 4997

Mode Questions

  1. Find the mode of: 7, 9, 12, 12, 15, 18, 20, 24, 24, 24.
  2. From the table below, determine the modal class and calculate mode, and calculate the mean, and median of:
    ClassFrequency
    0 - 92
    10 - 195
    20 - 2912
    30 - 399
  3. Calculate the mean, mode and median of:
    AgeFrequency
    15 - 193
    20 - 248
    25 - 2911
    30 - 346

Histogram, Frequency Curve, and Ogive Questions

  1. Using the table below, draw a histogram:
    MarksFrequency
    0 - 104
    10 - 206
    20 - 309
    30 - 407
  2. Draw a frequency curve from the above data.
  3. Construct a cumulative frequency table from the following data and draw an ogive:
    Class IntervalFrequency
    10 - 202
    20 - 304
    30 - 406
    40 - 508
  4. From the ogive curve of the above data, estimate the median.
  5. Draw both less than and more than ogives on the same axes from this data:
    MarksFrequency
    0 - 102
    10 - 205
    20 - 307
    30 - 406
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