Class 9 Statistics (Frequency Distribution) Mock Test (ICSE)

Topics in Statistics (Frequency Distribution)

• Collection and classification of data
• Frequency distribution tables
• Histograms
• Frequency polygons

Statistics (Frequency Distribution) practice questions with answers

1. Q1Multiple choice·1 mark
   In an ICSE mathematics class, a histogram is drawn to represent a frequency distribution with continuous class intervals. Which of the following is directly obtained from a histogram?

   1. (a)Mode
   2. (b)Median
   3. (c)Mean
   4. (d)Quartiles
   Show answer and step marks

   1. Correct option: (a) Mode. By definition, the mode of a grouped frequency distribution can be graphically estimated using a histogram.+1

   Answer: (a)
2. Q2Multiple choice·1 mark
   The data obtained from a survey conducted directly by a researcher is called:

   1. (a)grouped data
   2. (b)primary data
   3. (c)arrayed data
   4. (d)secondary data
   Show answer and step marks

   1. Correct option: (b) primary data. Data collected firsthand by the investigator for a specific purpose is termed primary data.+1

   Answer: (b)
3. Q3Multiple choice·1 mark
   Consider the following observations: $12, 15, 12, 18, 20, 15, 12, 18, 20, 22, 15, 12$. If the data is represented in a frequency distribution table with classes $10-14$, $15-19$, $20-24$, what is the frequency of the class $15-19$?

   1. (a)3
   2. (b)4
   3. (c)6
   4. (d)5
   Show answer and step marks

   1. Correct option: (d) 5. Count the observations falling in the class interval $15-19$: $15, 15, 15, 18, 18$, giving a total frequency of $5$.+1

   Answer: (d)
4. Q4Multiple choice·1 mark
   To construct a frequency polygon without drawing a histogram, the points plotted are determined by taking the frequency of the class and the:

   1. (a)cumulative frequency
   2. (b)lower class limit
   3. (c)class mark
   4. (d)upper class limit
   Show answer and step marks

   1. Correct option: (c) class mark. A frequency polygon is plotted using the coordinates (class mark, frequency).+1

   Answer: (c)
5. Q5Short answer·2 marks
   The daily wages (in ₹) of $10$ workers are: $350, 420, 380, 450, 360, 410, 390, 440, 370, 430$. Prepare a frequency distribution table using exclusive class intervals of equal width $20$, starting with $350 - 370$.
   Show answer and step marks

   1. Identify exclusive class intervals covering the data range: $350-370$, $370-390$, $390-410$, $410-430$, $430-450$, $450-470$.+0.5
   2. Frequencies: $350-370 : 2$ ($350, 360$) and $370-390 : 2$ ($370, 380$).+0.5
   3. Frequencies: $390-410 : 1$ ($390$) and $410-430 : 2$ ($410, 420$).+0.5
   4. Frequencies: $430-450 : 2$ ($430, 440$) and $450-470 : 1$ ($450$); total $= 10$.+0.5

   Answer: Frequency table with classes $350-370$ (frequency $2$), $370-390$ (frequency $2$), $390-410$ (frequency $1$), $410-430$ (frequency $2$), $430-450$ (frequency $2$), $450-470$ (frequency $1$)

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