NIOS Class 12 Psychology Chapter 5 Basis Statistics Solutions English Medium As Per New Syllabus to each chapter is provided in the list so that you can easily browse throughout different chapters NIOS Class 12 Psychology Chapter 5 Basis Statistics Notes and select need one. NIOS Class 12 Psychology Chapter 5 Basis Statistics Solutions English Medium Download PDF. NIOS Study Material of Class 12 Psychology Notes Paper Code: 328.
NIOS Class 12 Psychology Chapter 5 Basis Statistics
Also, you can read the NIOS book online in these sections Solutions by Expert Teachers as per National Institute of Open Schooling (NIOS) Book guidelines. These solutions are part of NIOS All Subject Solutions. Here we have given NIOS Class 12 Psychology Notes, NIOS Senior Secondary Course Psychology Solutions in English for All Chapter, You can practice these here.
Basis Statistics
Chapter: 5
| PART – I |
| Module – 1: Foundations of Psychology |
Activity:
Fill in the blanks with approximate value.
(a) Most women in your village/town have a height of ____________ cms.
Ans: 152.
(b) ____________ is the fruit that most of the people in your village like to eat.
Ans: Mango.
(c) The brand of mobile phones that most people bought is ____________.
Ans: Samsung.
(d) The most watched TV serial is ____________.
Ans: Anupamaa.
(e) The most worn colour of shoes is ____________.
Ans: Black.
Intext Questions 5.1
1. State whether the following statements are True or False:
(a) The mean, median and mode can never be the same.
Ans: False.
(b) When we calculate a student’s average marks, we are calculating the mean.
Ans: True.
(c) Any change in scores will change its mean value but may or may not change the mode.
Ans: True.
(d) The mode can be known by mere inspection.
Ans: True.
(e) The mean can be known by mere inspection.
Ans: False.
2. 10 people from Areema’s town walk to the old age home everyday to help the senior citizens of the town. The distance travelled by each person is shown in the following table. Calculate the value of the mean, median and mode of the distance travelled:
| Person’s name | Distance walked in kms(To help the senior citizens in old age home) |
| Ahmad | 2 |
| Bela | 4 |
| Celia | 2 |
| Deepak | 3 |
| Emily | 3 |
| Farida | 2 |
| Gauri | 1 |
| Hemant | 3 |
| Isha | 3 |
| Jasbir | 3 |
Ans: Here is the shortened, step-by-step solution for your distance dataset:
{2, 4, 2, 3, 3, 2, 1, 3, 3, 3} where N=10.1. Mean (Average)
Mean(X) = Sumofallscores (ΣΧ)/Totalnumberofscores(N)
overline X = (2 + 4 + 2 + 3 + 3 + 2 + 1 + 3 + 3)/10 = 26/10 = 2.7km
2. Median (Middle Value)Step 1: Arrange in ascending order:
{1, 2, 2, 2, 3, 3, 3, 3, 3, 4}
Step 2: Since N is even (10), take the average of the two middle terms (5th and 6th values):
Median = 3+3/2 = 3km
3. Mode (Most Frequent Value)
Count the frequencies:
1 km: 1 time
2 km: 3 times
3 km: 5 times (Highest frequency)
4 km: 1 time
Mode = 3 km
Summary of Results
Mean: 2.6 km
Median: 3.0 km
Mode: 3.0 km
Intext Questions 5.2
1. State whether the following statements are True or False:
(a) Raw data is very meaningful.
Ans: False.
(b) The data collected by the researcher is in a raw format.
Ans: True.
(c) Raw data can be arranged in both ascending as well as descending order.
Ans: True.
(d) Discrete series is also known as individual series.
Ans: False.
2. Fill in the blanks:
1. The number of times a particular observation occurs is known as its ______________.
Ans: Frequency.
2. ___________ is the group into which raw data is arranged. It consists of the lower limit and the upper limit of the class.
Ans: Class interval.
Intext Questions 5.4
1. State whether the following statements are True or False:
(a) The height of bars in a bar diagram need not be equal.
Ans: True.
(b) When more than two sets of data is to be presented simultaneously we use the multiple bar diagram.
Ans: True.
2. Choose the correct option and fill in the blanks:
(i) A bar diagram is __________:
(a) a one-dimensional diagram.
(b) a two dimensional diagram.
(c) a diagram with no dimension.
(d) none of the above
Ans: (a) a one-dimensional diagram.
(ii) Bars in a bar diagram can be __________:
(a) vertical or horizontal.
(b) only drawn as lines.
(c) only horizontal.
(d) only vertical.
Ans: (a) vertical or horizontal.
Intext Questions 5.5
Choose the correct option and fill in the blanks:
(i) The breadth of columns in a histogram is determined by ________________:
(a) frequency.
(b) frequency distribution.
(c) class size.
(d) all of the above.
Ans: (c) class size.
(ii) In order to draw a histogram the class interval should be ____________:
(a) Large.
(b) Continuous.
(c) Discontinuous.
(d) None of the above.
Ans: (b) Continuous.
(iii) In a histogram the frequency is shown as:
(a) a circle.
(b) a line.
(c) a curve.
(d) None of the above.
Ans: (d) None of the above.
(iv) In a ________________ the mid points of the class intervals are considered:
(a) Bar diagram.
(b) Histogram.
(c) Frequency polygon.
(d) None of the above.
Ans: (c) Frequency polygon.
(v) In order to draw a frequency polygon,____________:
(a) A histogram should be drawn.
(b) A bar diagram should be drawn.
(c) Both, histogram and bar diagram, should be drawn.
(d) No other diagram is required.
Ans: (d) No other diagram is required.
Intext Questions 5.6
(i) A pie chart depicts the data as a proportional part of a ____________. (Fill in the blank)
Ans: Circle.
(ii) The largest part on the pie chart reflects the minimum frequency. (State whether True or False)
Ans: False.
| TERMINAL EXERCISES |
1. Data indicating the number of months a person spends on tours, while holding a job is as follows:
3; 15; 16; 4; 11; 12; 13;
15; 16; 2; 6; 4; 13; 8; 11; 15; 16; 6; 7
Calculate the mean, median and mode from the above data.
Ans: The total number of observations is N=19.
(i) Calculating the Mean:
X = Xₙ
X = 3 + 15 + 16 + 4 + 11 + 12 + 13 + 15 + 16 + 2 + 6 + 4 + 13 + 8 + 11 + 15 + 16 + 6 + 7 = 193
Mean = 193 ÷ 19 = 10.16
(ii) Calculating the Median: Arrange the raw data in ascending order:
Since N = 19 (an odd number), the median is the (N + 1) ÷ 2-th term.
Median Position = (19 + 1) ÷ 2 = 10th term
The 10th term in our sorted list is 11.
Median = 11
(iii) Calculating the Mode: By counting the occurrences (frequencies) of each score:
15 occurs 3 times
16 occurs 3 times
All other scores occur fewer than 3 times.
Since both 15 and 16 share the highest frequency, this distribution is bimodal.
Mode = 15 and 16
2. Aptitude Test Comprehension ScoresAn aptitude test was conducted for 10 students. The scores on mathematical comprehension were as follows:
10, 8, 6, 12, 8, x, 2x, 2, 5, 7
The mean of the scores is 7. Find the value of x and 2x. Also find the median and mode of the data.
Ans: Here, N = 10 and Mean (X̄) = 7.
(i) Finding x and 2x
Mean = Sum of all scores ÷ N
7 = (10 + 8 + 6 + 12 + 8 + x + 2x + 2 + 5 + 7) ÷ 10
7 = (58 + 3x) ÷ 10
70 = 58 + 3x
3x = 12
x = 4
2x = 2(4) = 8
Therefore, x = 4 and 2x = 8.
(ii) Finding the Median
After replacing x = 4 and 2x = 8, the dataset is:
10, 8, 6, 12, 8, 4, 8, 2, 5, 7
Arrange the dataset in ascending order:
2, 4, 5, 6, 7, 8, 8, 8, 10, 12
Since N = 10 (an even number), the median is the average of the 5th and 6th terms.
5th term = 7
6th term = 8
Median = (7 + 8) ÷ 2 = 7.5
(iii) Finding the Mode
The score 8 occurs most frequently (3 times).
Mode = 8
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