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Class 10 Math Ch 11 Information Handling Test 4 | Board Model Paper 2027
Class 10 Mathematics Chapter 11 Model Paper 2027
Class 10 Mathematics Chapter 11: Information Handling Full Chapter Class Test 4 is a useful practice paper for students preparing for the Punjab Board 2027 Model Papers. This test covers important concepts including mean, median, mode, range, variance, standard deviation, quartiles, percentiles, cumulative frequency, correlation, scatter diagrams, box-and-whisker plots and frequency distributions. Students can use this Class 10 Math Chapter 11 test for revision, self-assessment and Punjab Board examination preparation.
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Full Unit Test
Unit 11: Information Handling
T-4
Objective Type
Time Allowed: 20 Min.
Max. Marks: 15
Note: Four possible answer A, B, C and D to each question are given.
The choice which you think is correct, fill that circle in front of that question
with Marker or ink pen in the answer book. Cutting filling two or more circles
will result in zero mark in that question.
(i) For construction of ogive, we need classes along with:
(ii) Q1, Q2 and Q3 one quartile of the data,
the median of the data is:
(iii) The seventh decile D7 is such that:
(iv) Which of the following true for quantiles, deciles and percentiles:
(v) If Q1 = 25 and Q3 = 75 for a given data,
then it’s interquartile range =
(vi) Which of the following represents strong positive correlation:
(vii) If in a data, as x increases y also increases
then its correlation in termed as:
(viii) Given data: 5, 7, 7, 8, 11, 14, 17, 20, 30. Its median is:
(ix) Given data: 5, 7, 7, 8, 11, 14, 17, 20, 30. If Q1 is:
(x) Given data: 5, 7, 7, 8, 11, 14, 17, 20, 30. If Q3 is:
(xi) Given is box-and-whisker plot. Median of this data is:
(xii) Which of the following is an example of measure of dispersion?
(xiii) Standard deviation of the data:
x1, x2, x3, …… xn
can be calculated by the formula =
(A)
∑i=1nxi
n
(B)
xn − x1
2
(C)
∑i=1n
(xi − x̄)2
n
(D)
∑i=1n
(xi − x̄)2
n
(xiv) Relationship between standard deviation and variance is:
(xv) Range of accompanying frequency distribution is:
| Classes | f |
|---|---|
| 10-20 | 0 |
| 20-30 | 2 |
| 30-40 | 5 |
| 40-50 | 3 |
Here is Subjective Part of Paper.
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Subjective Type
Time Allowed:
2:10 hours
2:10 hours
(Part-I)
Max. Marks: 60
2. Write short answers to any six (06) questions:
(i) For the given set of data, 2, 10, 3, 16, 14, 13, 4, 7,
11, 5, 17, 14, 18 Draw a box-and-whisker plot to
display the data.
(ii) What is the range of first 20 prime numbers?
(iii) The table below shows the weekly incomes (in
thousands of rupees) of a group employees in a company.
Find the range of the weekly income.
| Weekly Income (Rs. 1000) |
25 – 35 | 35 – 45 | 45 – 55 | 55 – 65 |
|---|---|---|---|---|
| Number of Employees |
4 | 6 | 5 | v |
(iv) Write the formula of standard Deviation
(v) A company forecasts monthly sales (rupees in millions):
15, 18, 14, 20, 13. Find variability in sales predictions.
(vi) Unemployment rates (%) in five provinces are
5.2, 6.0, 4.8, 5.5, 6.2. Calculate standard deviation
and describe is there balanced unemployment rate?
(vii) Define Mean with formula
(viii) Find variance and standard deviation:
̄ = 18,
Σfx2 = 1670,
Σf = 5
(ix) The summary statistics for a data set is given below.
Show it with a box-and-whisker plot.
| Min. Value | Max. Value | Q1 | Median | Q3 |
|---|---|---|---|---|
| 5 | 70 | 12.6 | 43 | 55.6 |
3. Write short answers to any six (06) questions:
(i) Find the range for the given data, 25, 30, 35, 40,
50, 60, 65, 75.
(ii) The sum of 5 numbers is 15 and the sum of their
squares is 421. Find the mean and standard deviation
of the data.
(iii) Define cumulative frequency.
(iv) Define quartile with formula.
(v) Define Zero correlation.
(vi) Define range with formula.
(vii) Find variance and standard deviation:
Σfx = 210,
Σfx2 = 7560,
Σf = 6
(viii) Unemployment rates (%) in five provinces are
5.2, 6.0, 4.8, 5.5, 6.2. Calculate standard deviation
and describe is there balanced unemployment rate?
(ix) Find the range of first 23 odd numbers.
4. Write short answers to any six (06) questions:
(i) Can the standard deviation be more than the variance?
Explain it.
(ii) Find standard deviation of first 23 odd numbers.
(iii) Find the mean of the following data sets:
43.5, 13.6, 18.9, 38.4, 61.4, 29.4
(iv) Define percentile with formula.
(v) Find variance and standard deviation:
Σx = 45,
Σx2 = 421,
n = 5
(vi) Find the variance of first 23 odd numbers.
(vii) Find the range of the following data sets:
43.5, 13.6, 18.9, 38.4, 61.4, 29.4
(viii) Find the range of the following data sets:
63, 89, 98, 125, 79, 108, 117, 60
(ix) If the range and the lowest value of a set of data
are 46.7 and 13.4 respectively, then find the highest value.
(Part-II) Note: Attempt any two (02) questions.
5:(a) Calculate range, variance and standard deviation
for the following data set:
| Class Interval | 0-5 | 5-10 | 10-15 | 15-20 | 20-25 | 25-30 |
|---|---|---|---|---|---|---|
| f | 4 | 12 | 20 | 24 | 16 | 4 |
(b) The monthly household expenses (rupees in thousands)
of two families for 6 months were:
Family A: 45, 47, 46, 48, 46, 47
Family B: 38, 52, 40, 50, 42, 49
Calculate the mean and standard deviation of the monthly
expenses. Which family spends more on average? Which family
has more stable expenses?
6:(a) The daily wages of 40 workers in a factory are
grouped as follows:
| Daily Wages (Rs.) |
1000 – 1200 |
1200 – 1400 |
1400 – 1600 |
1600 – 1800 |
1800 – 2000 |
|---|---|---|---|---|---|
| No. of Workers |
6 | 10 | 12 | 8 | 4 |
Find the mean, variance and standard deviation of the
daily wages.
(b) The table below displays the amount of time spent
on revision and the corresponding test scores for ten
students.
| Time spent on revision (hours) |
0.5 | 1 | 4 | 6 | 2 | 3 | 7 | 5 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|---|
| Test score (%) | 22 | 38 | 62 | 68 | 30 | 46 | 70 | 60 | 86 | 90 |
(i) Construct a scatter diagram and draw a line of best
fit on it.
(ii) Describe the correlation shown in the scatter diagram.
(iii) Spend 5.5 hours on revision. Use line of best fit
to estimate his test score.
7:(a) The following frequency distribution represents
the achievement of a student’s group on a memory test:
(i) Plot cumulative frequency graph of group scores.
(ii) Determine median, lower and upper quartiles,
D3, P90 and interquartile range
graphically.
Note: Write your answers in whole numbers.
| Scores | 44 – 48 |
49 – 53 |
54 – 58 |
59 – 63 |
64 – 68 |
69 – 73 |
74 – 78 |
|---|---|---|---|---|---|---|---|
| No. of Students |
3 | 12 | 15 | 23 | 12 | 8 | 7 |
(b) Find Q1, Q3, median range,
IQR and extreme values plot for the following data:
102, 98, 95, 100, 93, 110, 108, 104, 97, 96, 92, 101,
99, 105, 107
Also draw a box-and-whisker plot.
(Part-III) Note: Attempt any one (01) question.
8:(a) The following results for the long jump were recorded:
| Distance (in cm) |
170- 180 |
180- 190 |
190- 200 |
200- 210 |
210- 220 |
220- 230 |
|---|---|---|---|---|---|---|
| f | 2 | 6 | 9 | 12 | 8 | 3 |
Construct the cumulative frequency polygon and locate
median, Q1, Q3, P90
and interquartile range on it.
(b) The table given below shows the daily wages of workers
in a textile mill, grouped into six income brackets:
| Daily Wage (Rs) |
800 – 1000 |
1000 – 1200 |
1200 – 1400 |
1400 – 1600 |
1600 – 1800 |
1800 – 2000 |
|---|---|---|---|---|---|---|
| Frequency | 2 | 4 | 6 | 8 | 2 | 1 |
Calculate the mean, variance and standard deviation
of the wages.
9:(a) Two students, Ali and Rooma, appeared in 5
Mathematics tests. Their score (out of 100) were as follows:
Ali: 72, 68, 74, 70, 76
Rooma: 72, 65, 80, 68, 75
(i) Who performed better on average?
(ii) Who was more consistent?
(b) A factory produces rods with lengths (in cm):
50.1, 49.9, 50.0, 50.2, 49.8
Check the consistency using standard deviation.
